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Reading and Writing: Question 1

Although critics believed that customers would never agree to pay to pick their own produce on farms, such concerns didn’t blank Booker T. Whatley’s efforts to promote the practice. Thanks in part to Whatley’s determined advocacy, farms that allow visitors to pick their own apples, pumpkins, and other produce can be found throughout the United States.

Which choice completes the text with the most logical and precise word or phrase?

  1. enhance

  2. hinder

  3. misrepresent

  4. aggravate

Answer

You selected answer D. The correct answer is B.

Rationale

Choice B is the best answer because it most logically completes the text’s discussion of Booker T. Whatley. In this context, "hinder" means hold back or obstruct. The text explains that Whatley encouraged farms to allow customers on site to pick their own produce for a fee. He did so despite critics’ concerns that the customers would never pay to do so. This context establishes that the critics’ concerns didn’t hinder Whatley’s efforts to promote the practice.

Choice A is incorrect. The text indicates that critics’ skepticism of the idea that customers would pay to pick their own produce didn’t have some effect on Whatley’s promotion of the practice. The text illustrates this assertion by describing Whatley’s "determined advocacy" for the practice. This context suggests that critics’ concerns didn’t obstruct Whatley’s efforts, not that critics’ concerns didn’t "enhance," or increase or improve, Whatley’s efforts. Choice C is incorrect because in this context, "misrepresent" would mean portray inaccurately, and the text includes no information relevant to the issue of how Whatley’s efforts were portrayed by critics of the practice of charging customers to pick their own produce. Choice D is incorrect. The text indicates that critics’ skepticism of the idea that customers would pay to pick their own produce didn’t have some effect on Whatley’s promotion of the practice. The text illustrates this assertion by describing Whatley’s "determined advocacy" for the practice. This context suggests that critics’ concerns didn’t obstruct Whatley’s efforts, not that critics’ concerns didn’t "aggravate," or irritate or make more severe, Whatley’s efforts.

Reading and Writing: Question 2

The artisans of the Igun Eronmwon guild in Benin City, Nigeria, typically blank the bronze- and brass-casting techniques that have been passed down through their families since the thirteenth century, but they don’t strictly observe every tradition; for example, guild members now use air-conditioning motors instead of handheld bellows to help heat their forges.

Which choice completes the text with the most logical and precise word or phrase?

  1. experiment with

  2. adhere to

  3. improve on

  4. grapple with

Answer

You selected answer B. The correct answer is B.

Rationale

Choice B is the best answer because it most logically completes the text’s discussion of bronze- and brass-casting techniques used by the Igun Eronmwon guild. In this context “adhere to” would mean to act in accordance with. The text states that although members of the Igun Eronmwon guild typically do something with techniques that have been passed down since the thirteenth century, they “don’t strictly observe every tradition.” By establishing a contrast with not always following traditions, the context suggests that guild members do typically adhere to traditional techniques.

Choice A is incorrect because in this context “experiment with” would mean to do something new with. Although using motors rather than manual bellows is presented as a new approach, the text establishes a contrast between what the guild members typically do with techniques that have been passed down over centuries and the idea that the members “don’t strictly observe every tradition.” The phrase “experiment with” wouldn’t support the contrast because regularly trying new things with the techniques would be an example of not strictly following all traditions. Choice C is incorrect because in this context “improve on” would mean to make better. Although using motors rather than manual bellows might be an improved approach, the text establishes a contrast between what the guild members typically do with techniques that have been passed down over centuries and the idea that the members “don’t strictly observe every tradition.” The phrase “improve on” wouldn’t support the contrast because regularly making changes to the techniques would be an example of not strictly following all traditions. Choice D is incorrect because in this context “grapple with” would mean to try hard to solve a difficult problem. Although bronze- and brass-casting are likely challenging tasks, nothing in the text suggests that the guild members have any particular difficulties with the techniques passed down since the thirteenth century. 

Reading and Writing: Question 3

Set in a world where science fiction tropes exist as everyday realities, Charles Yu’s 2010 novel How to Live Safely in a Science Fictional Universe traces a time traveler’s quest to find his father. Because the journey at the novel’s center is so blank, with the protagonist ricocheting chaotically across time, the reader often wonders whether the pair will ever be reunited.

Which choice completes the text with the most logical and precise word or phrase?

  1. haphazard

  2. premeditated

  3. inspirational

  4. fruitless

Answer

You selected answer B. The correct answer is A.

Rationale

Choice A is the best answer because it most logically completes the text’s discussion of Yu’s novel. In this context, “haphazard” means marked by a lack of plan or order. The text indicates that the quest featured in the novel, which involves the protagonist bouncing across time, is chaotic and causes the reader to often wonder what will happen. This context suggests that the protagonist’s journey seems to be marked by a lack of order.

Choice B is incorrect because the text indicates that the journey featured in Yu’s novel involves a character “ricocheting chaotically,” or bouncing in a disordered way, across time and causes the reader to often wonder what will happen. It wouldn’t make sense to say that a chaotic journey seems “premeditated,” or characterized by forethought and planning. Choice C is incorrect because the text doesn’t give any indication that readers regard the journey in Yu’s novel as “inspirational,” or as causing extraordinarily creative or brilliant thoughts or actions; instead, the text focuses on the idea that the protagonist’s journey is chaotic, or disordered, and doesn’t give readers a clear sense of what will happen. Choice D is incorrect. Rather than suggesting that the journey featured in Yu’s novel is “fruitless,” or has an unsuccessful outcome, the text focuses on the idea that while reading about the protagonist’s chaotic movements across time, readers are often unsure of what will happen—that is, they don’t know whether the protagonist will be successful in finding his father.

Reading and Writing: Question 4

In a 2019 study, Jeremy Gunawardena and colleagues found that the single-celled protozoan Stentor roeseli not only uses strategies to escape irritating stimuli but also switches strategies when one fails. This evidence of protozoans sophisticatedly “changing their minds” demonstrates that single-celled organisms may not be limited to blank behaviors.

Which choice completes the text with the most logical and precise word or phrase?

  1. aggressive

  2. rudimentary

  3. evolving

  4. advantageous

Answer

You selected answer B. The correct answer is B.

Rationale

Choice B is the best answer because it most logically completes the text’s discussion of single-celled organism behavior. As used in this context, “rudimentary” means basic or unsophisticated. According to the text, a study of the single-celled protozoan Stentor roeseli showed that the organisms can switch strategies for escaping certain stimuli, “sophisticatedly ‘changing their minds’” and using new strategies should other strategies fail. This context suggests that single-celled organisms may not be limited to behaviors that are basic or rudimentary, since the study showed that single-celled protozoans can respond complexly to irritating stimuli.

Choice A is incorrect because the text doesn’t suggest that single-celled organisms may not be limited to behavior that is “aggressive,” or threatening. Rather, the text suggests that single-celled organisms may not be limited to behaviors that are basic, since the study of Stentor roeseli showed that single-celled protozoans can respond complexly to irritating stimuli. Choice C is incorrect because the text doesn’t suggest that single-celled organisms may not be limited to behavior that is “evolving,” or advancing. Rather, the text suggests that single-celled organisms may not be limited to behaviors that are basic, since the study of Stentor roeseli showed that single-celled protozoans can respond complexly to irritating stimuli. Choice D is incorrect because the text doesn’t suggest that single-celled organisms may not be limited to behavior that is “advantageous,” or helpful. Rather, the text suggests that single-celled organisms may not be limited to behaviors that are basic, since the study of Stentor roeseli showed that single-celled protozoans can respond complexly to irritating stimuli.

Reading and Writing: Question 5

Some economic historians blank that late nineteenth- and early twentieth-century households in the United States experienced an economy of scale when it came to food purchases—they assumed that large households spent less on food per person than did small households. Economist Trevon Logan showed, however, that a close look at the available data disproves this supposition.

Which choice completes the text with the most logical and precise word or phrase?

  1. surmised

  2. contrived

  3. questioned

  4. regretted

Answer

You selected answer A. The correct answer is A.

Rationale

Choice A is the best answer because it most logically completes the text’s discussion of late nineteenth- and early twentieth-century household food purchases. In this context, “surmised” means formed an idea or assumption with little evidence. The text explains that certain economic historians “assumed” that large and small households spent different amounts on food per person, but that another economist found this supposition to be false based on evidence from available data. This context suggests that the economic historians made an incorrect assumption without enough consideration of evidence.

Choice B is incorrect. In this context, “contrived” would mean brought about or created through trickery. Nothing in the text suggests that the economic historians were deliberately trying to trick people with a claim about food purchasing behaviors in late nineteenth- and early twentieth-century households; the text simply suggests that they made an assumption about those behaviors that another historian believes isn’t supported by the available data. Choice C is incorrect because the text indicates that it’s Logan and not the economic historians who “questioned,” or doubted, the assumption that large and small households in the late nineteenth and early twentieth centuries spent different amounts on food per person; the economic historians are the ones who made that assumption to begin with. Choice D is incorrect because nothing in the text suggests that some economic historians “regretted,” or felt sad or remorseful about, the food purchasing behaviors of late nineteenth- and early twentieth-century households. The text focuses on the idea that the economic historians made an assumption about those behaviors that may not be supported by available data, not on the historians’ emotional response to what households did in the past.

Reading and Writing: Question 6

The following text is adapted from Karel Čapek’s 1920 play R.U.R. (Rossum’s Universal Robots), translated by Paul Selver and Nigel Playfair in 1923. Fabry and Busman are telling Miss Glory why their company manufactures robots.

FABRY: One Robot can replace two and a half workmen. The human machine, Miss Glory, was terribly imperfect. It had to be removed sooner or later.

BUSMAN: It was too expensive.

FABRY: It was not effective. It no longer answers the requirements of modern engineering. Nature has no idea of keeping pace with modern labor.

As used in the text, what does the word “answers” most nearly mean?

  1. Explains

  2. Rebuts

  3. Defends

  4. Fulfills

Answer

You selected answer D. The correct answer is D.

Rationale

Choice D is the best answer because as used in the text, "answers" most nearly means fulfills. In the text, Fabry and Busman claim that the robots manufactured by their company are more efficient than human workers, which they refer to as "the human machine." Fabry observes that the human machine "no longer answers the requirements of modern engineering." That is, human workers are incapable of meeting the rigorous needs of modern, industrialized workplaces.

Choice A is incorrect. Although in some contexts "answers" can mean explains, it doesn’t have that meaning in this context because the topic under discussion is human beings’ inability to perform labor efficiently, not their inability to engage in discussion or explanation. Choice B is incorrect. Although in some contexts "answers" can mean rebuts, or proves a claim or argument to be false, it wouldn’t make sense to speak of proving requirements to be false; requirements might or might not be reasonable, but they can’t be verified as truthful or untruthful, as claims or accusations can. Choice C is incorrect. Although in some contexts, "answers" can mean defends against criticism, or justifies, it doesn’t have that meaning in this context because the opinion that Fabry expresses is that human workers can no longer fulfill the requirements of modern workplaces, not that they have ceased to justify those requirements or to defend them against criticism; indeed, there is no suggestion in the text that workers ever defended those requirements.

Reading and Writing: Question 7

In 2014, Amelia Quon and her team at NASA set out to build a helicopter capable of flying on Mars. Because Mars’s atmosphere is only one percent as dense as Earth’s, the air of Mars would not provide enough resistance to the rotating blades of a standard helicopter for the aircraft to stay aloft. For five years, Quon’s team tested designs in a lab that mimicked Mars’s atmospheric conditions. The craft the team ultimately designed can fly on Mars because its blades are longer and rotate faster than those of a helicopter of the same size built for Earth.

According to the text, why would a helicopter built for Earth be unable to fly on Mars?

  1. Because Mars and Earth have different atmospheric conditions

  2. Because the blades of helicopters built for Earth are too large to work on Mars

  3. Because the gravity of Mars is much weaker than the gravity of Earth

  4. Because helicopters built for Earth are too small to handle the conditions on Mars

Answer

You selected answer D. The correct answer is A.

Rationale

Choice A is the best answer because it presents an explanation about a helicopter that is directly supported by the text. The text states that Mars’s atmosphere is much less dense than Earth’s, and as a result, the air on Mars doesn’t provide the resistance required to support the blades of a helicopter built for Earth and to keep the helicopter aloft. In other words, a helicopter built for Earth can’t fly on Mars because of the differences in the two planets’ atmospheres.

Choice B is incorrect because instead of stating that the blades of helicopters built for Earth are too large to work on Mars, the text indicates that the helicopter built to fly on Mars actually has even longer blades than a helicopter built for Earth. Choice C is incorrect because the text never addresses the role of gravity on Mars or on Earth; instead, it focuses on atmospheric conditions. Choice D is incorrect because the text doesn’t indicate that helicopters built for Earth are too small to operate in the conditions on Mars. In fact, the text states that the size of the helicopter built to fly on Mars is the same size as a helicopter built for Earth, even though it has longer blades that rotate faster.

Reading and Writing: Question 8

In West Africa, jalis have traditionally been keepers of information about family histories and records of important events. They have often served as teachers and advisers, too. New technologies may have changed some aspects of the role today, but jalis continue to be valued for knowing and protecting their peoples’ stories.

Which choice best states the main idea of the text?

  1. Even though there have been some changes in their role, jalis continue to preserve their communities’ histories.

  2. Although jalis have many roles, many of them like teaching best.

  3. Jalis have been entertaining the people within their communities for centuries.

  4. Technology can now do some of the things jalis used to be responsible for.

Answer

You selected answer A. The correct answer is A.

Rationale

Choice A is the best answer because it best states the main idea of the text. According to the text, jalis’ traditional role has been to maintain information about families’ histories and significant events. The text goes on to say that although technological changes have altered jalis’ role somewhat, jalis are still valued for preserving the histories of their communities. 

Choice B is incorrect because the text says nothing about jalis’ views of the various tasks they perform. There is no information to support the idea that many jalis prefer teaching to other tasks. Choice C is incorrect because the text doesn’t describe jalis as being sources of entertainment. Rather, jalis are presented as valued sources of knowledge. Additionally, the text gives no indication of how long jalis have been serving their communities. Choice D is incorrect because the main focus of the text is on jalis’ role and their continued value despite the effects of technology, not on what technology can now do. Although the text indicates that jalis’ role has changed as a result of technological changes, the text doesn’t present any specific information about technology performing tasks that jalis once performed. 

Reading and Writing: Question 9

The following text is adapted from Jack London’s 1903 novel The Call of the Wild. Buck is a sled dog living with John Thornton in Yukon, Canada.

Thornton alone held [Buck]. The rest of mankind was as nothing. Chance travellers might praise or pet him; but he was cold under it all, and from a too demonstrative man he would get up and walk away. When Thornton’s partners, Hans and Pete, arrived on the long-expected raft, Buck refused to notice them till he learned they were close to Thornton; after that he tolerated them in a passive sort of way, accepting favors from them as though he favored them by accepting.

Which choice best states the main idea of the text?

  1. Buck has become less social since he began living with Thornton.

  2. Buck mistrusts humans and does his best to avoid them.

  3. Buck has been especially well liked by most of Thornton’s friends.

  4. Buck holds Thornton in higher regard than any other person.

Answer

You selected answer D. The correct answer is D.

Rationale

Choice D is the best answer because it most accurately states the main idea of the text. After establishing that Buck views most people “as nothing,” the text explains that Buck won’t acknowledge people other than Thornton unless they appear friendly toward Thornton, and even then he’s only reluctantly accepting. Thus, the text focuses on the idea that Thornton has a special status in Buck’s mind, with Buck holding him in higher regard than other people.

Choice A is incorrect because the text conveys that Buck isn’t social with people other than Thornton but doesn’t address Buck’s life or temperament before he lived with Thornton. Choice B is incorrect because the text conveys that Buck doesn’t really care about people other than Thornton and is aloof toward them. However, there’s no indication that Buck mistrusts and avoids people generally; indeed, he accepts Thornton, who is a human. Choice C is incorrect because the text refers to random travelers praising and petting Buck and Thornton’s partners giving Buck favors, but there’s no indication that any of these people are Thornton’s friends or that they have a particular fondness for Buck.

Reading and Writing: Question 10

The Souls of Black Folk is a 1903 book by W.E.B. Du Bois. In the book, Du Bois suggests that upon hearing Black folk songs, he felt an intuitive and sometimes unexpected sense of cultural recognition: blank

Which quotation from The Souls of Black Folk most effectively illustrates the claim?

  1. “[Black folk music] still remains as the singular spiritual heritage of the nation and the greatest gift of the Negro people.”

  2. “Ever since I was a child these songs have stirred me strangely. They came out of the South unknown to me, one by one, and yet at once I knew them as of me and of mine.”

  3. “Caricature has sought again to spoil the quaint beauty of the music, and has filled the air with many debased melodies which vulgar ears scarce know from the real. But the true Negro folk-song still lives in the hearts of those who have heard them truly sung and in the hearts of the Negro people.”

  4. “The songs are indeed the siftings of centuries; the music is far more ancient than the words, and in it we can trace here and there signs of development.”

Answer

You selected answer B. The correct answer is B.

Rationale

Choice B is the best answer because the quotation from The Souls of Black Folk illustrates the claim that Du Bois felt a sense of cultural recognition when he heard Black folk songs. In the quotation, Du Bois explains that for his entire life, Black folk songs "stirred [him] strangely." Even though they originated in the South, a region he wasn’t familiar with, he knew the songs "as of me and of mine." That is, he identified strongly with them and associated them with his community. Therefore, Du Bois felt an intuitive sense of cultural recognition when he heard Black folk songs.

Choice A is incorrect. Although the quotation considers the cultural and spiritual value of Black folk music, it doesn’t establish that this music inspired in Du Bois a sense of cultural recognition. Choice C is incorrect because this quotation addresses the cultural survival of Black folk songs despite attempts to caricature, or parody, them, not Du Bois’s sense of cultural connection to them. Choice D is incorrect because the quotation indicates that the Black folk songs and music are old, "the siftings of centuries," instead of addressing how Du Bois felt when he heard the songs.

Reading and Writing: Question 11

605550454035302520151050Female farmersas a percentage of totalnorth Ondocentral Ondosouth OndoPercentage of Ondo State Small-Scale Farmers Who Are Female, by Main Crop GrownOndo State region cereals root crops non–root vegetables
  • For each data category, the following bars are shown:
    • cereals
    • root crops
    • non–root vegetables
  • The data for the 3 categories are as follows:
    • north Ondo:
      • cereals: 30.4%
      • root crops: 16.73%
      • non–root vegetables: 58.69%
    • central Ondo:
      • cereals: 36.9%
      • root crops: 19.93%
      • non–root vegetables: 45.1%
    • south Ondo:
      • cereals: 35.9%
      • root crops: 18.78%
      • non–root vegetables: 53.27%

Geographer Adebayo Oluwole Eludoyin and his colleagues surveyed small-scale farmers in three locations in Ondo State, Nigeria—which has mountainous terrain in the north, an urbanized center, and coastal terrain in the south—to learn more about their practices, like the types of crops they mainly cultivated. In some regions, female farmers were found to be especially prominent in the cultivation of specific types of crops and even constituted the majority of farmers who cultivated those crops; for instance, blank

Which choice most effectively uses data from the graph to complete the example?

  1. most of the farmers who mainly cultivated cereals and most of the farmers who mainly cultivated non–root vegetables in south Ondo were women. 

  2. more women in central Ondo mainly cultivated root crops than mainly cultivated cereals.

  3. most of the farmers who mainly cultivated non–root vegetables in north and south Ondo were women.  

  4. a relatively equal proportion of women across the three regions of Ondo mainly cultivated cereals. 

Answer

You selected answer A. The correct answer is C.

Rationale

Choice C is the best answer because it uses data from the graph to effectively complete the example of Eludoyin and his colleagues’ findings concerning female farmers in some regions of Ondo State, Nigeria. The graph presents values for the percentage of Ondo State small-scale farmers who are female, by type of crop and region. The graph shows that of the farmers mainly cultivating non-root vegetables, approximately 57% in north Ondo and approximately 54% in south Ondo are female; in other words, most of those farmers are female, which exemplifies the idea that female farmers make up the majority (more than half) of the farmers cultivating specific types of crops in some regions.

Choice A is incorrect because it inaccurately cites data from the graph: the graph shows that in south Ondo, most of the farmers mainly cultivating non-root vegetables are women (approximately 54%), but that only about 35% (less than half) of the farmers mainly cultivating cereals are women. Choice B is incorrect because it inaccurately cites data from the graph: the graph shows that more women in central Ondo mainly cultivate cereals than mainly cultivate root crops (approximately 36% and 20%, respectively). Additionally, it doesn’t effectively complete the example because the graph shows that female farmers don’t make up the majority (more than half) of the farmers for any type of crop in central Ondo. Choice D is incorrect because it doesn’t effectively complete the example; it simply states that a relatively equal proportion of women across the three regions mainly cultivate cereals, which doesn’t address the value for that proportion and thus doesn’t show that a majority (more than half) of the farmers cultivating certain crops are female.

Reading and Writing: Question 12

Scholars have noted that F. Scott Fitzgerald’s writings were likely influenced in part by his marriage to Zelda Fitzgerald, but many don’t recognize Zelda as a writer in her own right. Indeed, Zelda authored several works herself, such as the novel Save Me the Waltz and numerous short stories. Thus, those who primarily view Zelda as an inspiration for F. Scott’s writings blank

Which choice most logically completes the text?

  1. overlook the many other factors that motivated F. Scott to write.

  2. risk misrepresenting the full range of Zelda’s contributions to literature.

  3. may draw inaccurate conclusions about how F. Scott and Zelda viewed each other’s works.

  4. tend to read the works of F. Scott and Zelda in an overly autobiographical light.

Answer

You selected answer A. The correct answer is B.

Rationale

Choice B is the best answer because it most logically completes the text’s discussion of Zelda Fitzgerald’s contributions to literature. The text begins by saying that many scholars view Zelda mainly in terms of her marriage to F. Scott Fitzgerald and “don’t recognize Zelda as a writer in her own right.” The text then mentions a novel and “numerous short stories” that she wrote and that such scholars tend to ignore. Therefore, those scholars who focus on Zelda only as an inspiration for F. Scott’s writings risk misrepresenting the full range of Zelda’s contributions to literature.

Choice A is incorrect. Although the text does mention that Zelda Fitzgerald “likely influenced” her husband’s literary work, its focus is on Zelda’s own writing, not on her husband’s writing or factors that might have influenced it. Choice C is incorrect because the text does not discuss F. Scott and Zelda Fitzgerald’s opinions of each other’s works. Choice D is incorrect. Although the text does suggest that F. Scott Fitzgerald’s works were “likely influenced in part” by his marriage to Zelda, it does not discuss autobiographical interpretations of the works of either F. Scott or Zelda.

Reading and Writing: Question 13

Herbivorous sauropod dinosaurs could grow more than 100 feet long and weigh up to 80 tons, and some researchers have attributed the evolution of sauropods to such massive sizes to increased plant production resulting from high levels of atmospheric carbon dioxide during the Mesozoic era. However, there is no evidence of significant spikes in carbon dioxide levels coinciding with relevant periods in sauropod evolution, such as when the first large sauropods appeared, when several sauropod lineages underwent further evolution toward gigantism, or when sauropods reached their maximum known sizes, suggesting that blank

Which choice most logically completes the text?

  1. fluctuations in atmospheric carbon dioxide affected different sauropod lineages differently. 

  2. the evolution of larger body sizes in sauropods did not depend on increased atmospheric carbon dioxide.

  3. atmospheric carbon dioxide was higher when the largest known sauropods lived than it was when the first sauropods appeared.

  4. sauropods probably would not have evolved to such immense sizes if atmospheric carbon dioxide had been even slightly higher.

Answer

You selected answer B. The correct answer is B.

Rationale

Choice B is the best answer because it presents the conclusion that most logically follows from the text’s discussion of the relationship between atmospheric carbon dioxide and sauropod body size. The text establishes that sauropods evolved to reach enormous sizes, and it notes that some scientists have asserted that the cause of this phenomenon was increased plant production that resulted from increased atmospheric carbon dioxide. The text goes on to state, however, that atmospheric carbon dioxide levels didn’t increase around the time of important periods in sauropods’ evolution of larger body sizes. If significant periods of sauropod evolution toward larger sizes occurred without increased atmospheric carbon dioxide levels, that suggests that the evolution of larger sizes didn’t depend on increased carbon dioxide in the atmosphere. 

Choice A is incorrect because the text doesn’t describe any fluctuations in atmospheric carbon dioxide, so there’s no evidence in the text to support the conclusion that such fluctuations had different effects on different sauropod lineages. All that the text says about atmospheric carbon dioxide levels is that there weren’t increases at particular points that correspond with key moments in sauropod evolution. Choice C is incorrect because the text indicates that there weren’t significant increases in atmospheric carbon dioxide around the time of important periods in sauropods’ evolution toward larger body sizes, not that atmospheric carbon dioxide was higher when the largest sauropods lived than when sauropods first appeared. Choice D is incorrect because the text indicates that atmospheric carbon dioxide levels didn’t increase at important periods in sauropod evolution, not that higher levels would have affected that evolution. The text provides no information about how higher levels of atmospheric carbon dioxide might have affected sauropods. 

Reading and Writing: Question 14

Known for her massive photorealistic paintings of African American figures floating or swimming in pools, Calida Garcia blank was the logical choice to design the book cover for Ta-Nehisi Coates’s The Water Dancer, a novel about an African American man who can travel great distances through water.

Which choice completes the text so that it conforms to the conventions of Standard English?

  1. Rawles

  2. Rawles:

  3. Rawles,

  4. Rawles

Answer

You selected answer D. The correct answer is D.

Rationale

Choice D is the best answer. The convention being tested is punctuation between a subject and a verb. When, as in this case, a subject ("Calida Garcia Rawles") is immediately followed by a verb ("was"), no punctuation is needed.

Choice A is incorrect because no punctuation is needed between the subject and the verb. Choice B is incorrect because no punctuation is needed between the subject and the verb. Choice C is incorrect because no punctuation is needed between the subject and the verb.

Reading and Writing: Question 15

In 2010, archaeologist Noel Hidalgo Tan was visiting the twelfth-century temple of Angkor Wat in Cambodia when he noticed markings of red paint on the temple blank the help of digital imaging techniques, he discovered the markings to be part of an elaborate mural containing over 200 paintings.   

Which choice completes the text so that it conforms to the conventions of Standard English?

  1. walls, with

  2. walls with 

  3. walls so with 

  4. walls. With

Answer

You selected answer D. The correct answer is D.

Rationale

Choice D is the best answer. The convention being tested is punctuation use between sentences. In this choice, the period after "walls" is used correctly to mark the boundary between the first sentence ("In...walls") and the second sentence ("With…techniques"), which starts with a supplementary phrase.

Choice A is incorrect because it results in a comma splice. A comma can’t be used in this way to mark the boundary between sentences. Choice B is incorrect because it results in a run-on sentence. The sentences ("In...walls" and "with...paintings") are fused without punctuation and/or a conjunction. Choice C is incorrect. Without a comma preceding it, the conjunction "so" can’t be used in this way to join sentences.

Reading and Writing: Question 16

Cheng Dang and her colleagues at the University of Washington recently ran simulations to determine the extent to which individual snow blank affect the amount of light reflecting off a snowy surface.

Which choice completes the text so that it conforms to the conventions of Standard English?

  1. grain’s physical properties’

  2. grains’ physical properties

  3. grains’ physical property’s

  4. grains physical properties

Answer

You selected answer B. The correct answer is B.

Rationale

Choice B is the best answer. The convention being tested is the use of plural and possessive nouns. The plural possessive noun “grains’” and the plural noun “properties” correctly indicate that the simulations involved multiple snow grains and that those snow grains had several properties.

Choice A is incorrect because the context requires the plural possessive noun “grains’” and the plural noun “properties,” not the singular possessive noun “grain’s” and the plural possessive noun “properties’.” Choice C is incorrect because the context requires the plural noun “properties,” not the singular possessive noun “property’s.” Choice D is incorrect because the context requires the plural possessive noun “grains’,” not the plural noun “grains.”

Reading and Writing: Question 17

The Mission 66 initiative, which was approved by Congress in 1956, represented a major investment in the infrastructure of overburdened national blank it prioritized physical improvements to the parks’ roads, utilities, employee housing, and visitor facilities while also establishing educational programming for the public.

Which choice completes the text so that it conforms to the conventions of Standard English?

  1. parks and

  2. parks

  3. parks;

  4. parks,

Answer

You selected answer C. The correct answer is C.

Rationale

Choice C is the best answer. The convention being tested is the coordination of main clauses within a sentence. This choice uses a semicolon to correctly join the first main clause ("The Mission…parks") and the second main clause that begins with "it."

Choice A is incorrect. When coordinating two longer main clauses such as these, it’s conventional to use a comma before the coordinating conjunction. Choice B is incorrect because it results in a run-on sentence. The two main clauses are fused without punctuation and/or a conjunction. Choice D is incorrect because it results in a comma splice. Without a conjunction following it, a comma can’t be used in this way to join two main clauses.

Reading and Writing: Question 18

The Progressive Era in the United States witnessed the rise of numerous Black women’s clubs, local organizations that advocated for racial and gender equality. Among the clubs’ leaders blank Josephine St. Pierre Ruffin, founder of the Women’s Era Club of Boston.

Which choice completes the text so that it conforms to the conventions of Standard English?

  1. was

  2. were

  3. are

  4. have been

Answer

You selected answer B. The correct answer is A.

Rationale

Choice A is the best answer. The convention being tested here is subject-verb agreement. The singular verb “was” agrees in number with the singular subject “Josephine St. Pierre Ruffin.”

Choice B is incorrect because the plural verb “were” doesn’t agree in number with the singular subject “Josephine St. Pierre Ruffin.” Choice C is incorrect because the plural verb “are” doesn’t agree in number with the singular subject “Josephine St. Pierre Ruffin.” Choice D is incorrect because the plural verb “have been” doesn’t agree in number with the singular subject “Josephine St. Pierre Ruffin.”

Reading and Writing: Question 19

Eli Eisenberg, a genetics expert at Tel Aviv University in Israel, recently discovered that blank have a special genetic ability called RNA editing that confers evolutionary advantages.

Which choice completes the text so that it conforms to the conventions of Standard English?

  1. cephalopods, ocean dwellers that include the squid, the octopus, and the cuttlefish

  2. cephalopodsocean dwellersthat include the squid, the octopus, and the cuttlefish,

  3. cephalopods, ocean dwellers that include: the squid, the octopus, and the cuttlefish,

  4. cephalopodsocean dwellers that include the squid, the octopus, and the cuttlefish

Answer

You selected answer D. The correct answer is D.

Rationale

Choice D is the best answer. The convention being tested is the punctuation of a supplementary element within a sentence. In this choice, the dash after "cephalopods" pairs with the dash after "cuttlefish" to clearly separate the supplementary element "ocean dwellers that include the squid, the octopus, and the cuttlefish" from the rest of the sentence. This supplementary element functions to explain what cephalopods are, and the pair of dashes indicates that this element could be removed without affecting the grammatical coherence of the sentence.

Choice A is incorrect because it fails to use appropriate punctuation to separate the supplementary element that explains what cephalopods are from the rest of the sentence. Choice B is incorrect because it fails to use appropriate punctuation to separate the supplementary element that explains what cephalopods are from the rest of the sentence. Choice C is incorrect because it fails to use appropriate punctuation to separate the supplementary element that explains what cephalopods are from the rest of the sentence.

Reading and Writing: Question 20

A model created by biologist Luis Valente predicts that the rate of speciation—the rate at which new species form—on an isolated island located approximately 5,000 kilometers from the nearest mainland blank triple the rate of speciation on an island only 500 kilometers from the mainland.

Which choice completes the text so that it conforms to the conventions of Standard English?

  1. being

  2. to be

  3. to have been

  4. will be

Answer

You selected answer D. The correct answer is D.

Rationale

Choice D is the best answer. The convention being tested is finite and nonfinite verb forms within a sentence. Relative clauses, such as the one beginning with "that," require a finite verb, a verb that can function as the main verb of a clause. This choice correctly supplies the clause with the finite future tense verb "will be."

Choice A is incorrect because the nonfinite participle "being" doesn’t supply the clause with a finite verb. Choice B is incorrect because the nonfinite to-infinitive "to be" doesn’t supply the clause with a finite verb. Choice C is incorrect because the nonfinite to-infinitive "to have been" doesn’t supply the clause with a finite verb.

Reading and Writing: Question 21

Award-winning travel writer Linda Watanabe McFerrin considers the background research she conducts on destinations featured in her travel books to be its own reward. blank McFerrin admits to finding the research phase of her work just as fascinating and engaging as exploring a location in person.

Which choice completes the text with the most logical transition?

  1. By contrast,

  2. Likewise,

  3. Besides,

  4. In fact,

Answer

You selected answer B. The correct answer is D.

Rationale

Choice D is the best answer. “In fact” logically signals that the information in this sentence—that McFerrin finds the research phase of her work to be just as fascinating as travel—emphasizes and elaborates on the previous sentence’s point that McFerrin regards background research as a rewarding activity.

Choice A is incorrect because “by contrast” illogically signals that the information in this sentence contrasts with the previous sentence’s point about McFerrin’s attitude toward background research. Instead, it emphasizes and elaborates on that point. Choice B is incorrect because “likewise” illogically signals that this sentence merely adds a second, similar point to the previous sentence’s point about McFerrin’s attitude toward background research. Instead, it emphasizes and elaborates on that point. Choice C is incorrect because “besides” illogically signals that this sentence provides a separate point in addition to, or apart from, the previous sentence’s point about McFerrin’s attitude toward background research. Instead, it emphasizes and elaborates on that point. 

Reading and Writing: Question 22

While researching a topic, a student has taken the following notes:

  • Bharati Mukherjee was an Indian-born author of novels and short stories.
  • She published the novel The Holder of the World in 1993.
  • A central character in the novel is a woman living in twentieth-century United States.
  • Another central character is a woman living in seventeenth-century India.

The student wants to introduce the novel The Holder of the World to an audience already familiar with Bharati Mukherjee. Which choice most effectively uses relevant information from the notes to accomplish this goal? 

  1. Bharati Mukherjee’s settings include both twentieth-century United States and seventeenth-century India.

  2. In addition to her novel The Holder of the World, which was published in 1993, Indian-born author Bharati Mukherjee wrote other novels and short stories.

  3. Bharati Mukherjee’s novel The Holder of the World centers around two women, one living in twentieth-century United States and the other in seventeenth-century India.

  4. The Holder of the World was not the only novel written by Indian-born author Bharati Mukherjee.

Answer

You selected answer C. The correct answer is C.

Rationale

Choice C is the best answer. The sentence effectively introduces The Holder of the World to an audience already familiar with Mukherjee, explaining that the novel centers around two women and mentioning the author without providing any other identifying information.

Choice A is incorrect. The sentence provides a detail about Mukherjee’s settings; it doesn’t introduce, or even mention, the novel. Choice B is incorrect. The sentence provides introductory information about Mukherjee; it doesn’t effectively introduce her novel to an audience already familiar with the author. Choice D is incorrect. The sentence provides introductory information about Mukherjee; it doesn’t effectively introduce her novel to an audience already familiar with the author.

Reading and Writing: Question 23

While researching a topic, a student has taken the following notes:

  • Pterosaurs were flying reptiles that existed millions of years ago.
  • In a 2021 study, Anusuya Chinsamy-Turan analyzed fragments of pterosaur jawbones located in the Sahara Desert.
  • She was initially unsure if the bones belonged to juvenile or adult pterosaurs.
  • She used advanced microscope techniques to determine that the bones had few growth lines relative to the bones of fully grown pterosaurs.
  • She concluded that the bones belonged to juveniles.

The student wants to present the study and its findings. Which choice most effectively uses relevant information from the notes to accomplish this goal?

  1. In 2021, Chinsamy-Turan studied pterosaur jawbones and was initially unsure if the bones belonged to juveniles or adults. 

  2. Pterosaur jawbones located in the Sahara Desert were the focus of a 2021 study.

  3. In a 2021 study, Chinsamy-Turan used advanced microscope techniques to analyze the jawbones of pterosaurs, flying reptiles that existed millions of years ago.

  4. In a 2021 study, Chinsamy-Turan determined that pterosaur jawbones located in the Sahara Desert had few growth lines relative to the bones of fully grown pterosaurs and thus belonged to juveniles.

Answer

You selected answer D. The correct answer is D.

Rationale

Choice D is the best answer. The sentence presents both the study and its findings, noting the study’s date and the researcher’s name as well as describing what the researcher determined about the jawbones and how she determined it.

Choice A is incorrect. While the sentence describes the study and the researcher’s initial assessment, it doesn’t present the study’s findings. Choice B is incorrect. While the sentence describes the study and its focus, it doesn’t present the study’s findings or the name of the researcher who conducted it. Choice C is incorrect. While the sentence mentions the study’s methodology and provides information about pterosaurs, it doesn’t present the study’s findings.

Reading and Writing: Question 24

While researching a topic, a student has taken the following notes:

  • Samuel Selvon was a Trinidadian author.
  • The Lonely Londoners is one of his most celebrated novels.
  • Selvon published the novel in 1956.
  • It is about a group of men who emigrate from the Caribbean to Great Britain after World War II.
  • Some of The Lonely Londoners’ characters also appear in Selvon’s later novel Moses Ascending.

The student wants to introduce Samuel Selvon and his novel The Lonely Londoners to a new audience. Which choice most effectively uses relevant information from the notes to accomplish this goal?

  1. In 1956, Trinidadian author Samuel Selvon published one of his most celebrated novels, The Lonely Londoners, which is about a group of men who emigrate from the Caribbean to Great Britain after World War II.

  2. Samuel Selvon wrote the novel Moses Ascending after he wrote The Lonely Londoners. 

  3. The Lonely Londoners, a celebrated novel that was published in 1956, depicts post–World War II Caribbean migration from the perspective of a Trinidadian author.

  4. Some of the characters who appear in Samuel Selvon’s Moses Ascending also appear in The Lonely Londoners.

Answer

You selected answer A. The correct answer is A.

Rationale

Choice A is the best answer. By noting that Selvon is a Trinidadian author and indicating that The Lonely Londoners, published in 1956, is about a group of men who emigrate from the Caribbean to Great Britain after World War II, the sentence effectively introduces Samuel Selvon and his novel to a new audience.

Choice B is incorrect. The sentence indicates the order in which two of Selvon’s novels were written; it doesn’t introduce Samuel Selvon and The Lonely Londoners to a new audience. Choice C is incorrect. While the sentence describes the novel The Lonely Londoners, it doesn’t mention its author, Samuel Selvon, by name and thus doesn’t effectively introduce him to a new audience. Choice D is incorrect. The sentence indicates that two of Selvon’s novels include the same characters; it doesn’t introduce Samuel Selvon and The Lonely Londoners to a new audience.

Reading and Writing: Question 25

While researching a topic, a student has taken the following notes:

  • Seven species of sea turtle exist today.
  • Five sea turtle species can be found in the Atlantic Ocean.
  • One of those species is the Kemp’s ridley sea turtle.
  • Its scientific name is Lepidochelys kempii.
  • Another of those species is the olive ridley sea turtle.
  • Its scientific name is Lepidochelys olivacea.

The student wants to emphasize a similarity between the two sea turtle species. Which choice most effectively uses relevant information from the notes to accomplish this goal?

  1. Among the seven species of sea turtle is the olive ridley sea turtle, which can be found in the Atlantic Ocean.

  2. The Kemp’s ridley sea turtle is referred to as Lepidochelys kempii, while the olive ridley sea turtle is referred to as Lepidochelys olivacea.

  3. Both the Kemp’s ridley sea turtle and the olive ridley sea turtle can be found in the Atlantic Ocean.

  4. The Kemp’s ridley sea turtle (Lepidochelys kempii) and the olive ridley sea turtle (Lepidochelys olivacea) are different species.

Answer

You selected answer C. The correct answer is C.

Rationale

Choice C is the best answer. The sentence emphasizes a similarity between the two sea turtle species: both can be found in the Atlantic Ocean.

Choice A is incorrect. The sentence indicates that the olive ridley sea turtle is one of seven species of sea turtle; it fails to mention the Kemp’s ridley sea turtle. Choice B is incorrect. The sentence emphasizes a difference between the two sea turtle species rather than a similarity. Choice D is incorrect. The sentence emphasizes a difference between the two sea turtle species rather than a similarity.

Reading and Writing: Question 26

While researching a topic, a student has taken the following notes:

  • In 2019, Emily Shepard and colleagues in the UK and Germany studied the effect of wind on auks’ success in landing at cliffside nesting sites.
  • They found as wind conditions intensified, the birds needed more attempts in order to make a successful landing.
  • When the wind was still, almost 100% of landing attempts were successful.
  • In a strong breeze, approximately 40% of attempts were successful.
  • In near-gale conditions, only around 20% of attempts were successful.

The student wants to summarize the study. Which choice most effectively uses relevant information from the notes to accomplish this goal?

  1. For a 2019 study, researchers from the UK and Germany collected data on auks’ attempts to land at cliffside nesting sites in different wind conditions.

  2. Emily Shepard and her colleagues wanted to know the extent to which wind affected auks’ success in landing at cliffside nesting sites, so they conducted a study.

  3. Knowing that auks often need multiple attempts to land at their cliffside nesting sites, Emily Shepard studied the birds’ success rate, which was only around 20% in some conditions.

  4. Emily Shepard’s 2019 study of auks’ success in landing at cliffside nesting sites showed that as wind conditions intensified, the birds’ success rate decreased.

Answer

You selected answer D. The correct answer is D.

Rationale

Choice D is the best answer. The sentence effectively summarizes the study, noting who conducted it, when it was conducted, and what its results showed: that auks’ landing success rate decreased as wind conditions intensified.

Choice A is incorrect. While the sentence presents the methodology of the study—that is, the approach taken by the researchers—it fails to summarize the study as a whole. Choice B is incorrect. While the sentence presents the aim, or goal, of the study, it fails to summarize the study as a whole. Choice C is incorrect. While the sentence indicates what Shepard studied, it fails to mention a key factor: the effect of wind. It thus fails to summarize the study as a whole.

Reading and Writing: Question 27

While researching a topic, a student has taken the following notes:

  • Abdulrazak Gurnah was awarded the 2021 Nobel Prize in Literature.
  • Gurnah was born in Zanzibar in East Africa and currently lives in the United Kingdom.
  • Many readers have singled out Gurnah’s 1994 book Paradise for praise.
  • Paradise is a historical novel about events that occurred in colonial East Africa.

The student wants to introduce Paradise to an audience unfamiliar with the novel and its author. Which choice most effectively uses relevant information from the notes to accomplish this goal?

  1. Abdulrazak Gurnah, who wrote Paradise and later was awarded the Nobel Prize in Literature, was born in Zanzibar in East Africa and currently lives in the United Kingdom. 

  2. Many readers have singled out Abdulrazak Gurnah’s 1994 book Paradise, a historical novel about colonial East Africa, for praise. 

  3. A much-praised historical novel about colonial East Africa, Paradise (1994) was written by Abdulrazak Gurnah, winner of the 2021 Nobel Prize in Literature.

  4. Paradise is a historical novel about events that occurred in colonial East Africa, Abdulrazak Gurnah’s homeland.

Answer

You selected answer C. The correct answer is C.

Rationale

Choice C is the best answer. The sentence effectively introduces Paradise to an audience unfamiliar with the novel and its author, describing Paradise as a historical novel about colonial East Africa and its author as the winner of the 2021 Nobel Prize in Literature. 

Choice A is incorrect. While the sentence introduces Abdulrazak Gurnah to an audience unfamiliar with the author, it doesn’t effectively introduce Paradise. Choice B is incorrect. While the sentence provides background information about Paradise, it doesn’t effectively introduce the novel to an audience unfamiliar with its author. Choice D is incorrect. While the sentence provides background information about Paradise, it doesn’t effectively introduce the novel to an audience unfamiliar with its author.

Reading and Writing: Question 1

In studying the use of external stimuli to reduce the itching sensation caused by an allergic histamine response, Louise Ward and colleagues found that while harmless applications of vibration or warming can provide a temporary distraction, such blank stimuli actually offer less relief than a stimulus that seems less benign, like a mild electric shock.

Which choice completes the text with the most logical and precise word or phrase?

  1. deceptive

  2. innocuous

  3. novel

  4. impractical

Answer

You selected answer A. The correct answer is B.

Rationale

Choice B is the best answer because it most logically completes the text’s discussion of Ward and colleagues’ findings. As used in this context, “innocuous” means mild or unharmful. The text describes the vibration and warming that Ward and colleagues used to alleviate itching as “harmless applications” and goes on to contrast these applications with another stimulus that actually offers more relief even though it seems to be stronger and “less benign.” This context conveys the idea that vibration and warming were innocuous stimuli. 

Choice A is incorrect because the text focuses on a distinction between harmless stimuli and those that seem to be less benign. Nothing in the text suggests that any of the treatments are “deceptive,” or misleading; indeed, even the less effective ones are described as offering some relief. Choice C is incorrect because the text focuses on the amount of relief from itching offered by harmless stimuli and those that seem to be less benign. The text doesn’t suggest that any of these stimuli are “novel,” or original and new; heat, vibration, and electricity aren’t new inventions. Choice D is incorrect because it wouldn’t make sense to describe an application of vibration or warming as “impractical,” or not suitable for use. The text indicates that these harmless applications are useful in that they offer at least some temporary relief.

Reading and Writing: Question 2

New and interesting research conducted by Suleiman A. Al-Sweedan and Moath Alhaj is inspired by their observation that though there have been many studies of the effect of high altitude on blood chemistry, there is a blank studies of the effect on blood chemistry of living in locations below sea level, such as the California towns of Salton City and Seeley.

Which choice completes the text with the most logical and precise word or phrase?

  1. quarrel about

  2. paucity of

  3. profusion of

  4. verisimilitude in

Answer

You selected answer B. The correct answer is B.

Rationale

Choice B is the best answer because it most logically and precisely completes the text’s discussion of studies of altitude’s effect on blood chemistry. In this context, "paucity of" means lack of. In describing the inspiration behind Al-Sweedan and Alhaj’s research, the text uses the word "though" to suggest a contrasting relationship between two types of studies: those examining the effect on blood chemistry of living at a high altitude and those examining the effect on blood chemistry of living in locations below sea level. This contrasting relationship and the text’s use of the word "many" provide context suggesting that there are few, if any, examples of the second type of study, whereas there are numerous examples of the first type.

Choice A is incorrect because it wouldn’t make sense in context for there to be a "quarrel about," or open disagreement about, studies of the effect on blood chemistry of living in locations below sea level. The text’s use of the words "though" and "many" suggests a contrasting relationship in terms of amount between two types of studies: those examining the effect on blood chemistry of living at a high altitude and those examining the effect on blood chemistry of living in locations below sea level. There’s nothing in the text to suggest that the contrast between the two types of studies involves the extent to which researchers broadly agree or disagree about the contents of either type. Choice C is incorrect because it wouldn’t make sense in context for there to be a "profusion of," or great abundance of, studies of the effect on blood chemistry of living in locations below sea level. The text’s use of the words "though" and "many" suggests a contrasting relationship in terms of amount between two types of studies: those examining the effect on blood chemistry of living at a high altitude and those examining the effect on blood chemistry of living in locations below sea level. Rather than logically completing this contrast, "profusion of" would indicate that the two types of studies are similar in terms of amount, with many examples existing of both types. Choice D is incorrect because it wouldn’t make sense in context for there to be a "verisimilitude in," or appearance of truth in, studies of the effect on blood chemistry of living in locations below sea level. The text’s use of the words "though" and "many" suggests a contrasting relationship in terms of amount between two types of studies: those examining the effect on blood chemistry of living at a high altitude and those examining the effect on blood chemistry of living in locations below sea level. There’s nothing in the text to suggest that the contrast between the two types of studies involves the extent to which either type of study presents an appearance of truth.

Reading and Writing: Question 3

Whether the reign of a French monarch such as Hugh Capet or Henry I was historically consequential or relatively uneventful, its trajectory was shaped by questions of legitimacy and therefore cannot be understood without a corollary understanding of the factors that allowed the monarch to blank his right to hold the throne.

Which choice completes the text with the most logical and precise word or phrase?

  1. disengage

  2. annotate

  3. buttress

  4. reciprocate

Answer

You selected answer D. The correct answer is C.

Rationale

Choice C is the best answer because it most logically completes the text’s discussion of the legitimacy of the reigns of French monarchs such as Hugh Capet and Henry I. As used in this context, "buttress" means to strengthen or defend. The text indicates that regardless of whether a French monarch’s reign was significant or uneventful, each monarch faced questions about his right to the throne. The text goes on to say that in order to understand the path of a French monarch’s reign, it’s important to understand what contributed to the monarch’s ability to "hold the throne." This context suggests that French monarchs such as Hugh Capet and Henry I had to buttress, or defend, their right to be monarch.

Choice A is incorrect because it wouldn’t make sense in context to discuss factors that enabled a monarch to "disengage," or withdraw his right to the French throne. The text focuses on an examination of people who reigned as French monarchs, not on people who didn’t choose to rule. Choice B is incorrect because it wouldn’t make sense in context to discuss factors that enabled a monarch to "annotate," or add notes to or explain, his right to the French throne. Nothing in the text suggests that the monarchs were writing notes about their right to the throne; instead, faced with questions about the legitimacy of their reign, the monarchs defended their right. Choice D is incorrect. Saying that a monarch who is faced with questions about the legitimacy of his reign was able to "reciprocate" his right to the French throne would mean that he either returned his right to the throne or that he responded in kind to the challenge. Neither of these meanings would make sense in context because the text focuses on people who did reign as French monarchs and defended their right to do so.

Reading and Writing: Question 4

Researcher Haesung Jung led a 2020 study showing that individual acts of kindness can blank prosocial behavior across a larger group. Jung and her team found that bystanders who witness a helpful act become more likely to offer help to someone else, and in doing so, can inspire still others to act.

Which choice completes the text with the most logical and precise word or phrase?

  1. require

  2. remember

  3. foster

  4. discourage

Answer

You selected answer C. The correct answer is C.

Rationale

Choice C is the best answer because it most logically completes the text’s discussion of Jung and her team’s study of acts of kindness. In this context, “foster” means encourage or promote the development of. The text indicates that Jung and her team found that seeing a helpful (or prosocial) act makes a bystander more likely to help someone else, which can in turn inspire additional people to help others. That is, the team showed that single acts of kindness can foster additional prosocial acts across a group.

Choice A is incorrect because nothing in the text suggests that Jung and her team found that single acts of kindness “require,” or depend on or make obligatory, broader prosocial (or helpful) behavior across a group. There’s no suggestion in the text that individual acts of kindness can only occur if other prosocial acts have already occurred, and the text indicates only that an act of kindness can inspire additional helpful acts, not that it necessarily will do so. Choice B is incorrect because the text focuses on a possible direct effect of individual acts of kindness, or single helpful actions, and it wouldn’t make sense to suggest that actions can “remember,” or hold a memory of, something. Choice D is incorrect because the text doesn’t indicate that Jung and her team found that single acts of kindness can “discourage,” or hinder, prosocial (or helpful) behavior across a group. On the contrary, the text states that Jung and her team found that seeing a helpful act makes a bystander more likely to help someone else, which can in turn inspire even more people to help others.

Reading and Writing: Question 5

The following text is adapted from Indian Boyhood, a 1902 memoir by Ohiyesa (Charles A. Eastman), a Santee Dakota writer. In the text, Ohiyesa recalls how the women in his tribe harvested maple syrup during his childhood.

Now the women began to test the trees—moving leisurely among them, axe in hand, and striking a single quick blow, to see if the sap would appear. The trees, like people, have their individual characters; some were ready to yield up their life-blood, while others were more reluctant. Now one of the birchen basins was set under each tree, and a hardwood chip driven deep into the cut which the axe had made. From the corners of this chip—at first drop by drop, then more freely—the sap trickled into the little dishes.

Which choice best describes the function of the underlined sentence in the text as a whole?

  1. It portrays the range of personality traits displayed by the women as they work.

  2. It foregrounds the beneficial relationship between humans and maple trees.

  3. It demonstrates how human behavior can be influenced by the natural environment.

  4. It elaborates on an aspect of the maple trees that the women evaluate.

Answer

You selected answer D. The correct answer is D.

Rationale

Choice D is the best answer because it best describes the function of the underlined sentence in the text’s overall portrayal of how the women in Ohiyesa’s tribe harvested maple syrup. The text states that the women used an axe to strike the maple trees in order to find out which ones would produce sap. The underlined sentence compares the trees to people, with the sap described as the trees’ “life-blood.” Some of the trees are ready to give out their sap, while others are unwilling to do so. Using personification, the sentence provides greater detail about the aspect of the maple trees—their potential to give sap—that the women are evaluating.

Choice A is incorrect because the personalities of the women are not discussed in the text. Although the underlined sentence does mention “individual characters,” this reference is not to the women in the text but rather to the maple trees, which the sentence compares to people with individual character traits. Choice B is incorrect because the underlined sentence focuses on the trees’ willingness or refusal to yield sap, not on the beneficial relationship between the women and the trees. Additionally, although the text does suggest that the women and their tribe benefit from the maple trees since the trees allow the women to harvest syrup, there is nothing in the text to suggest that the trees benefit from this relationship in turn. Choice C is incorrect because the underlined sentence is comparing maple trees to humans, not addressing the influence of the natural environment on how the actual humans in the text, the women, behave.

Reading and Writing: Question 6

The following text is from Charlotte Brontë’s 1847 novel Jane Eyre. Jane, the narrator, works as a governess at Thornfield Hall.

I went on with my day’s business tranquilly; but ever and anon vague suggestions kept wandering across my brain of reasons why I should quit Thornfield; and I kept involuntarily framing advertisements and pondering conjectures about new situations: these thoughts I did not think to check; they might germinate and bear fruit if they could.

Which choice best states the main purpose of the text?

  1. To convey a contrast between Jane’s outward calmness and internal restlessness

  2. To emphasize Jane’s loyalty to the people she works for at Thornfield Hall

  3. To demonstrate that Jane finds her situation both challenging and deeply fulfilling

  4. To describe Jane’s determination to secure employment outside of Thornfield Hall

Answer

You selected answer A. The correct answer is A.

Rationale

Choice A is the best answer because it most accurately describes the main purpose of the text, which is to show that while Jane calmly goes about her daily tasks, she is experiencing internal agitation about possibly seeking a new job. At the start of the text, Jane says, "I went on with my day’s business tranquilly," indicating that she is outwardly calm. This outward calmness is then contrasted with her intense internal restlessness, as Jane says that thoughts of leaving her job keep running through her mind, that she is "involuntarily framing advertisements" (meaning that she can’t stop herself from thinking up potential listings for jobs), and that she often wonders what new "situations" (or jobs) would be like.

Choice B is incorrect because the text gives no indication of Jane’s feelings, either positive or negative, about the people she works for at Thornfield Hall. And rather than emphasizing that Jane feels particularly loyal to her employers, the text focuses on her constant consideration of leaving her job. Choice C is incorrect because the text gives no indication that Jane finds her current situation fulfilling, or satisfying. Given that much of the text is focused on Jane’s thoughts about possibly leaving her job for a new one, it might be the case that she finds her situation challenging, but there is no evidence in the text that Jane also finds that situation satisfying—she says nothing positive about her current job at all, in fact. Choice D is incorrect because the text describes Jane as wondering about getting a new job, not as determined to definitely do so. Jane keeps thinking about reasons why she "should" quit her current job (indicating that she hasn’t yet decided to) and imagining possible new situations she could find, but she says at the end of the text that these thoughts "might germinate and bear fruit if they could," meaning that the thoughts haven’t yet led to a decision—that Jane isn’t yet determined to get a new job somewhere else.

Reading and Writing: Question 7

Musician Joni Mitchell, who is also a painter, uses images she creates for her album covers to emphasize ideas expressed in her music. For the cover of her album Turbulent Indigo (1994), Mitchell painted a striking self-portrait that closely resembles Vincent van Gogh’s Self-Portrait with Bandaged Ear (1889). The image calls attention to the album’s title song, in which Mitchell sings about the legacy of the postimpressionist painter. In that song, Mitchell also hints that she feels a strong artistic connection to Van Gogh—an idea that is reinforced by her imagery on the cover.

Which choice best describes the overall structure of the text?

  1. It presents a claim about Mitchell, then gives an example supporting that claim.

  2. It discusses Van Gogh’s influence on Mitchell, then considers Mitchell’s influence on other artists.

  3. It describes a similarity between two artists, then notes a difference between them.

  4. It describes the songs on Turbulent Indigo, then explains how they relate to the album’s cover.

Answer

You selected answer A. The correct answer is A.

Rationale

Choice A is the best answer because it accurately describes the organization of the elements within the text. The text begins with the claim that Joni Mitchell’s album covers use images she creates in order to emphasize ideas embedded in her albums. It then goes on to provide an example of how Mitchell’s self-portrait on the cover of Turbulent Indigo resembles a painting by Van Gogh, which the text indicates helps emphasize the strong connection Mitchell feels toward Van Gogh, a connection that is also expressed in the album’s title song.

Choice B is incorrect because there are no references in the text to artists other than Joni Mitchell and Van Gogh. Choice C is incorrect because there is nothing in the text that calls attention to any similarities or differences between Joni Mitchell and Van Gogh. Instead, it mentions that Mitchell feels a strong "artistic connection" to Van Gogh. Choice D is incorrect because the text discusses the cover before referring to any songs, and it only references one song from the album not all the songs.

Reading and Writing: Question 8

A study by a team including finance professor Madhu Veeraraghavan suggests that exposure to sunshine during the workday can lead to overly optimistic behavior. Using data spanning from 1994 to 2010 for a set of US companies, the team compared over 29,000 annual earnings forecasts to the actual earnings later reported by those companies. The team found that the greater the exposure to sunshine at work in the two weeks before a manager submitted an earnings forecast, the more the manager’s forecast exceeded what the company actually earned that year.

Which choice best states the function of the underlined sentence in the overall structure of the text?

  1. To summarize the results of the team’s analysis

  2. To present a specific example that illustrates the study’s findings

  3. To explain part of the methodology used in the team’s study

  4. To call out a challenge the team faced in conducting its analysis

Answer

You selected answer C. The correct answer is C.

Rationale

Choice C is the best answer because it best describes how the underlined sentence functions in the text as a whole. The first sentence presents the implications of Veeraraghavan’s team’s study: sunshine exposure during work hours can cause overly optimistic behavior. The underlined sentence then describes the data the team consulted and how they were used (comparing predictions about earnings to what the companies actually earned), and the final sentence presents what the team found in their examination of the data. Thus, the underlined sentence mainly functions to explain part of the methodology used in the team’s study.

Choice A is incorrect because the underlined sentence explains in part how the team conducted their analysis of the effect of sunshine but doesn’t address what the team found; a broad summary is instead given in the other two sentences. Choice B is incorrect because the underlined sentence doesn’t present any specific examples from the team’s comparisons of 29,000 earnings predictions to actual earnings; it simply explains in part how the team conducted their analysis. Choice D is incorrect because the underlined sentence simply explains in part how the team conducted their analysis; the text never mentions any challenges that the team encountered in their study.

Reading and Writing: Question 9

 

Text 1

Most animals can regenerate some parts of their bodies, such as skin. But when a three-banded panther worm is cut into three pieces, each piece grows into a new worm. Researchers are investigating this feat partly to learn more about humans’ comparatively limited abilities to regenerate, and they’re making exciting progress. An especially promising discovery is that both humans and panther worms have a gene for early growth response (EGR) linked to regeneration.

 

Text 2

When Mansi Srivastava and her team reported that panther worms, like humans, possess a gene for EGR, it caused excitement. However, as the team pointed out, the gene likely functions very differently in humans than it does in panther worms. Srivastava has likened EGR to a switch that activates other genes involved in regeneration in panther worms, but how this switch operates in humans remains unclear.

Based on the texts, what would the author of Text 2 most likely say about Text 1’s characterization of the discovery involving EGR?

  1. It is reasonable given that Srivastava and her team have identified how EGR functions in both humans and panther worms.

  2. It is overly optimistic given additional observations from Srivastava and her team.

  3. It is unexpected given that Srivastava and her team’s findings were generally met with enthusiasm.

  4. It is unfairly dismissive given the progress that Srivastava and her team have reported.

Answer

You selected answer B. The correct answer is B.

Rationale

Choice B is the best answer because it reflects how the author of Text 2 would most likely respond to Text 1 based on the information provided. Text 1 discusses the discovery of a regeneration-linked gene, EGR, in both three-banded panther worms (which are capable of full regeneration) and humans (who have relatively limited regeneration abilities). Text 1 characterizes this discovery as “especially promising” and a sign of “exciting progress” in understanding human regeneration. The author of Text 2, on the other hand, focuses on the fact that the team that reported the EGR finding pointed out that while EGR’s function in humans isn’t yet known, it’s likely very different from its function in panther worms. Therefore, the author of Text 2 would most likely say that Text 1’s enthusiasm about the EGR discovery is overly optimistic given Srivastava’s team’s observations about EGR in humans.

Choice A is incorrect because the author of Text 2 explains that Srivastava and her team explicitly reported that they haven’t yet identified how EGR functions in humans; therefore, the author of Text 2 wouldn’t say that Text 1’s excitement is reasonable for the stated reason. Instead, the author of Text 2 would likely characterize Text 1’s excitement as premature and overly optimistic. Choice C is incorrect because Text 1 does treat Srivastava’s team’s findings with enthusiasm; it describes the discovery of EGR in both three-banded panther worms and humans as promising and exciting. It would be illogical for the author of Text 2 to say that because most others treat the discovery with enthusiasm, Text 1’s enthusiastic characterization of the discovery is unexpected. Choice D is incorrect because Text 1 isn’t at all dismissive of Srivastava’s team’s findings; instead, Text 1 is optimistic about the EGR discovery, characterizing it as promising and exciting. There’s nothing in Text 2 to suggest that the author of Text 2 would say that Text 1’s praise for the discovery is dismissive, or disdainful. 

Reading and Writing: Question 10

Credited Film Output of James Young Deer, Dark Cloud, Edwin Carewe, and Lillian St. Cyr

IndividualYears activeNumber of films known and commonly credited
James Young Deer1909–192433 (actor), 35 (director), 10 (writer)
Dark Cloud1910–192035 (actor), 1 (writer)
Edwin Carewe1912–193447 (actor), 58 (director), 20 (producer), 4 (writer)
Lillian St. Cyr (Red Wing)1908–192166 (actor)

Some researchers studying Indigenous actors and filmmakers in the United States have turned their attention to the early days of cinema, particularly the 1910s and 1920s, when people like James Young Deer, Dark Cloud, Edwin Carewe, and Lillian St. Cyr (known professionally as Red Wing) were involved in one way or another with numerous films. In fact, so many films and associated records for this era have been lost that counts of those four figures’ output should be taken as bare minimums rather than totals; it’s entirely possible, for example, that blank

Which choice most effectively uses data from the table to complete the example?

  1. Dark Cloud acted in significantly fewer films than did Lillian St. Cyr, who is credited with 66 performances.

  2. Edwin Carewe’s 47 credited acting roles include only films made after 1934.

  3. Lillian St. Cyr acted in far more than 66 films and Edwin Carewe directed more than 58. 

  4. James Young Deer actually directed 33 films and acted in only 10.

Answer

You selected answer C. The correct answer is C.

Rationale

Choice C is the best answer because it uses data from the table to effectively exemplify the idea that the film outputs of the four individuals included in the table should be considered bare minimums—that is, that we should assume that the individuals actually had higher outputs than those recorded. The table presents the years during which the individuals were active and the number of known films the individuals are credited in. The table indicates that Lillian St. Cyr has 66 film credits as an actor and that Edwin Carewe has 58 film credits as a director; it follows that if some films and records for the era were lost, it’s possible that Lillian St. Cyr acted in far more than 66 films and that Edwin Carewe directed more than 58 films.

Choice A is incorrect because it doesn’t effectively exemplify the idea that the film outputs of the four individuals included in the table should be considered bare minimums. Rather than addressing the idea that the individuals likely had higher outputs than those presented in the table, this choice simply compares data from the table to make the point that Dark Cloud has fewer credited acting roles than Lillian St. Cyr (35 and 66, respectively). Choice B is incorrect because it misrepresents data from the table, even though it may exemplify the idea that the film outputs of the four individuals included in the table should be considered bare minimums by implying that Edwin Carewe acted in more than 47 films. The table indicates that Edwin Carewe was active from 1912 to 1934, meaning that his 47 credited acting roles were in films made before or during 1934, not after that time. Choice D is incorrect because it doesn’t effectively exemplify the idea that the film outputs of the four individuals included in the table should be considered bare minimums. Instead of addressing the idea that the individuals likely had higher outputs than those recorded, this choice suggests that James Young Deer actually acted in and directed fewer films than presented in the table (only 33 known films as a director instead of 35, and only 10 known films as an actor instead of 33).

Reading and Writing: Question 11

Mosasaurs were large marine reptiles that lived in the Late Cretaceous period, approximately 100 million to 66 million years ago. Celina Suarez, Alberto Pérez-Huerta, and T. Lynn Harrell Jr. examined oxygen-18 isotopes in mosasaur tooth enamel in order to calculate likely mosasaur body temperatures and determined that mosasaurs were endothermic—that is, they used internal metabolic processes to maintain a stable body temperature in a variety of ambient temperatures. Suarez, Pérez-Huerta, and Harrell claim that endothermy would have enabled mosasaurs to include relatively cold polar waters in their range.

Which finding, if true, would most directly support Suarez, Pérez-Huerta, and Harrell’s claim?

  1. Mosasaurs’ likely body temperatures are easier to determine from tooth enamel oxygen-18 isotope data than the body temperatures of nonendothermic Late Cretaceous marine reptiles are.

  2. Fossils of both mosasaurs and nonendothermic marine reptiles have been found in roughly equal numbers in regions known to be near the poles during the Late Cretaceous, though in lower concentrations than elsewhere.

  3. Several mosasaur fossils have been found in regions known to be near the poles during the Late Cretaceous, while relatively few fossils of nonendothermic marine reptiles have been found in those locations. 

  4. During the Late Cretaceous, seawater temperatures were likely higher throughout mosasaurs’ range, including near the poles, than seawater temperatures at those same latitudes are today. 

Answer

You selected answer C. The correct answer is C.

Rationale

Choice C is the best answer because it presents the finding that, if true, would best support Suarez, Pérez-Huerta, and Harrell’s claim about mosasaurs. The text states that Suarez, Pérez-Huerta, and Harrell’s research on mosasaur tooth enamel led them to conclude that mosasaurs were endothermic, which means that they could live in waters at many different temperatures and still maintain a stable body temperature. The researchers claim that endothermy enabled mosasaurs to live in relatively cold waters near the poles. If several mosasaur fossils have been found in areas that were near the poles during the period when mosasaurs were alive and fossils of nonendothermic marine reptiles are rare in such locations, that would support the researchers’ claim: it would show that mosasaurs inhabited polar waters but nonendothermic marine mammals tended not to, suggesting that endothermy may have been the characteristic that enabled mosasaurs to include polar waters in their range.

Choice A is incorrect because finding that it’s easier to determine mosasaur body temperatures from tooth enamel data than it is to determine nonendothermic reptile body temperatures wouldn’t support the researchers’ claim. Whether one research process is more difficult than another indicates nothing about the results of those processes and therefore is irrelevant to the issue of where mosasaurs lived and what enabled them to live in those locations.   Choice B is incorrect because finding roughly equal numbers of mosasaur and nonendothermic marine reptile fossils in areas that were near the poles in the Late Cretaceous would suggest that endothermy didn’t give mosasaurs any particular advantage when it came to expanding their range to include relatively cold polar waters, thereby weakening the researchers’ claim rather than supporting it. Choice D is incorrect because finding that the temperature of seawater in the Late Cretaceous was warmer than seawater today wouldn’t weaken the researchers’ claim. Seawater in the Late Cretaceous could have been warmer than seawater today but still cold enough for endothermy to be advantageous to mosasaurs, so this finding wouldn’t provide enough information to either support or weaken the researchers’ claim.

Reading and Writing: Question 12

76543210Average number of individuals directly reporting to CEO1991–19951996–20012001–2008Average Number of IndividualsReporting Directly to CEOsYears managers department leaders
  • For each data category, the following bars are shown:
    • managers
    • department leaders
  • All values are approximate.
  • The data for the 3 categories are as follows:
    • 1991–1995:
      • managers: 2
      • department leaders: 3.2
    • 1996–2001:
      • managers: 2.5
      • department leaders: 4
    • 2001–2008:
      • managers: 3
      • department leaders: 6.9

Considering a large sample of companies, economics experts Maria Guadalupe, Julie Wulf, and Raghuram Rajan assessed the number of managers and leaders from different departments who reported directly to a chief executive officer (CEO). According to the researchers, the findings suggest that across the years analyzed, there was a growing interest among CEOs in connecting with more departments in their companies.

Which choice best describes data from the graph that support the researchers’ conclusion?

  1. The average numbers of managers and department leaders reporting directly to their CEO didn’t fluctuate from the 1991–1995 period to the 2001–2008 period.

  2. The average number of managers reporting directly to their CEO was highest in the 1996–2001 period.

  3. The average number of department leaders reporting directly to their CEO was greater than the average number of managers reporting directly to their CEO in each of the three periods studied.

  4. The average number of department leaders reporting directly to their CEO rose over the three periods studied.

Answer

You selected answer C. The correct answer is D.

Rationale

Choice D is the best answer because it describes data from the graph that support the researchers’ conclusion that there is a growing interest among CEOs in connecting with more departments in their companies. The graph shows the average number of individuals reporting directly to CEOs during three different time periods: the individuals are divided into managers and department leaders. The average number of department leaders directly reporting to their CEO during the 1991–1995 period was slightly more than three, during the 1996–2001 period it was four, and during the 2001–2008 period it was almost seven. Thus, the average number of department leaders reporting directly to their CEO rose over the three periods studied, which suggests that CEOs were connecting with more departments.

Choice A is incorrect because the average number of managers and department leaders reporting directly to their CEO rose for both categories between the 1991–1995 and 2001–2008 periods; thus, it isn’t true that the average numbers didn’t fluctuate. Choice B is incorrect because the average number of managers reporting directly to their CEO was highest in the 2001–2008 period, not in the 1996–2001 period. Choice C is incorrect. Although it correctly describes a feature of the graph, the observation that more department leaders than managers are reporting to CEOs does not by itself address the question of whether CEOs are connecting with more departments over time—to address that question, one needs to know whether the number of department leaders reporting to CEOs is increasing over time.

Reading and Writing: Question 13

Given that stars and planets initially form from the same gas and dust in space, some astronomers have posited that host stars (such as the Sun) and their planets (such as those in our solar system) are composed of the same materials, with the planets containing equal or smaller quantities of the materials that make up the host star. This idea is also supported by evidence that rocky planets in our solar system are composed of some of the same materials as the Sun.

Which finding, if true, would most directly weaken the astronomers’ claim?

  1. Most stars are made of hydrogen and helium, but when cooled they are revealed to contain small amounts of iron and silicate.

  2. A nearby host star is observed to contain the same proportion of hydrogen and helium as that of the Sun.

  3. Evidence emerges that the amount of iron in some rocky planets is considerably higher than the amount in their host star.

  4. The method for determining the composition of rocky planets is discovered to be less effective when used to analyze other kinds of planets.

Answer

You selected answer C. The correct answer is C.

Rationale

Choice C is the best answer because it presents a finding that, if true, would weaken the astronomers’ claim about the makeup of host stars and their planets. The text explains that because stars and planets begin forming from the same gas and dust, astronomers believe planets should be composed of the same materials as their host stars, but in equal or smaller quantities. The finding that the amount of iron in some rocky planets is much higher than the amount in their host star would weaken the astronomers’ claim because it would show that some planets contain the same material as their host star, but in higher quantities.

Choice A is incorrect because a finding only about the makeup of stars, whether they’ve cooled or not, would provide no information about the makeup of planets. Thus, it wouldn’t have any bearing on the claim that planets and their host stars are composed of the same materials in differing quantities. Choice B is incorrect because a finding about two host stars having similar proportions of certain materials wouldn’t provide any information about the makeup of planets. Thus, it wouldn’t be relevant to the claim that planets and their host stars are composed of the same materials in differing quantities. Choice D is incorrect because the text indicates that the astronomers’ claim is based on a fact—that stars and planets begin forming from the same gas and dust in space—which would remain true regardless of the effectiveness of a method for analysis of compositions. The text does cite analysis of rocky planets in our solar system and the Sun, but only as a single piece of evidence that is consistent with the claim and not as the source of the claim; the finding that the method used for that analysis is less effective in other scenarios wouldn’t weaken a claim that’s based on knowledge of how stars and planets initially form.

Reading and Writing: Question 14

While attending school in New York City in the 1980s, Okwui Enwezor encountered few works by African artists in exhibitions, despite New York’s reputation as one of the best places to view contemporary art from around the world. According to an arts journalist, later in his career as a renowned curator and art historian, Enwezor sought to remedy this deficiency, not by focusing solely on modern African artists, but by showing how their work fits into the larger context of global modern art and art history.

Which finding, if true, would most directly support the journalist’s claim?

  1. As curator of the Haus der Kunst in Munich, Germany, Enwezor organized a retrospective of Ghanaian sculptor El Anatsui’s work entitled El Anatsui: Triumphant Scale, one of the largest art exhibitions devoted to a Black artist in Europe’s history. 

  2. In the exhibition Postwar: Art Between the Pacific and the Atlantic, 1945–1965, Enwezor and cocurator Katy Siegel brought works by African artists such as Malangatana Ngwenya together with pieces by major figures from other countries, like US artist Andy Warhol and Mexico’s David Siqueiros.

  3. Enwezor’s work as curator of the 2001 exhibition The Short Century: Independence and Liberation Movements in Africa, 1945–1994 showed how African movements for independence from European colonial powers following the Second World War profoundly influenced work by African artists of the period, such as Kamala Ibrahim Ishaq and Thomas Mukarobgwa.

  4. Enwezor organized the exhibition In/sight: African Photographers, 1940 to the Present not to emphasize a particular aesthetic trend but to demonstrate the broad range of ways in which African artists have approached the medium of photography.

Answer

You selected answer B. The correct answer is B.

Rationale

Choice B is the best answer because it presents a finding that, if true, would most directly support the arts journalist’s claim about Enwezor’s work as a curator and art historian. In the text, the arts journalist asserts that Enwezor wished not just to focus on modern African artists but also to show “how their work fits into the larger context of global modern art and art history,” or how their work relates to artistic developments and work by other artists elsewhere in the world. The description of Postwar: Art Between the Pacific and the Atlantic, 1945–1965 indicates that Enwezor and Siegel’s exhibition brought works by African artists together with works by artists from other countries, thus supporting the arts journalist’s claim that Enwezor sought to show works by African artists in a context of global modern art and art history.

Choice A is incorrect because it describes a retrospective that wouldn’t support the arts journalist’s claim that Enwezor wanted to show how works by modern African artists fit into the larger context of global modern art and art history. The description of El Anatsui: Triumphant Scale indicates that the retrospective focused only on the work of a single African artist, El Anatsui. The description doesn’t suggest that the exhibition showed how El Anatsui’s works fit into a global artistic context. Choice C is incorrect because it describes an exhibition that wouldn’t support the arts journalist’s claim that Enwezor wanted to show how works by modern African artists relate to the larger context of global modern art and art history. The description of The Short Century: Independence and Liberation Movements in Africa, 1945–1994 indicates that the exhibition showed how African artists were influenced by movements for independence from European colonial powers following the Second World War. Although this suggests that Enwezor intended the exhibition to place works by African artists in a political context, it doesn’t indicate that the works were placed in a global artistic context. Choice D is incorrect because it describes an exhibition that wouldn’t support the arts journalist’s claim that Enwezor wanted to show how works by modern African artists relate to the larger context of global modern art and art history. The description of In/sight: African Photographers, 1940 to the Present indicates that the exhibition was intended to reveal the broad range of approaches taken by African photographers, not that the exhibition showed how photography by African artists fits into a global artistic context.

Reading and Writing: Question 15

One challenge when researching whether holding elected office changes a person’s behavior is the problem of ensuring that the experiment has an appropriate control group. To reveal the effect of holding office, researchers must compare people who hold elected office with people who do not hold office but who are otherwise similar to the office-holders. Since researchers are unable to control which politicians win elections, they therefore blank

Which choice most logically completes the text?

  1. struggle to find valid data about the behavior of politicians who do not currently hold office.

  2. can only conduct valid studies with people who have previously held office rather than people who presently hold office.

  3. should select a control group of people who differ from office-holders in several significant ways.

  4. will find it difficult to identify a group of people who can function as an appropriate control group for their studies.

Answer

You selected answer D. The correct answer is D.

Rationale

Choice D is the best answer because it presents the conclusion that most logically follows from the text’s discussion of the challenge researchers face when studying the effects of holding elected office on a person’s behavior. The text explains that it’s hard for researchers to test for the effects that elected office has on people because finding people to serve as a control group is difficult. The text indicates that a control group needs to be made up of people who share characteristics of the group being tested but don’t have the variable being tested (in this case, holding elected office). Because researchers aren’t able to influence who wins elections, they’re also unable to determine who would serve as an appropriately similar member of a control group. Thus, it logically follows that researchers will find it difficult to identify a group of people who can function as an appropriate control group for their studies.

Choice A is incorrect because the text focuses on the struggle to put together a control group for experiments; it doesn’t suggest that finding information about politicians’ behavior is difficult. Choice B is incorrect because the experiments mentioned in the text are testing the effects of holding elected office on a person’s behavior. Studying people who have already held elected office wouldn’t provide an opportunity to note any behavioral changes that the position might cause. Choice C is incorrect because the text defines people in a control group as those "who are otherwise similar to the office-holders"; selecting people who differ from the office-holders wouldn’t fit the criteria for an appropriate control group.

Reading and Writing: Question 16

Compiled in the late 1500s largely through the efforts of Indigenous scribes, Cantares Mexicanos is the most important collection of poetry in Classical Nahuatl, the principal language of the Aztec Empire. The poems portray Aztec society before the occupation of the empire by the army of Spain, and marginal notes in Cantares Mexicanos indicate that much of the collection’s content predates the initial invasion. Nonetheless, some of the poems contain inarguable references to beliefs and customs common in Spain during this era. Thus, some scholars have concluded that blank

Which choice most logically completes the text?

  1. while its content largely predates the invasion, Cantares Mexicanos also contains additions made after the invasion.

  2. although those who compiled Cantares Mexicanos were fluent in Nahuatl, they had limited knowledge of the Spanish language.

  3. before the invasion by Spain, the poets of the Aztec Empire borrowed from the literary traditions of other societies.

  4. the references to beliefs and customs in Spain should be attributed to a coincidental resemblance between the societies of Spain and the Aztec Empire.

Answer

You selected answer C. The correct answer is A.

Rationale

Choice A is the best answer because it most logically completes the text. The text explains that the Cantares Mexicanos contains poems about the Aztec Empire from before the Spanish invasion. Furthermore, it indicates that notes in the collection attest that some of these poems predate the Spanish invasion, while some customs depicted are likely Spanish in origin. The implication is that some poems were composed before the invasion but the references to Spanish customs could have come about only after the invasion, and thus that the collection includes content that predates the invasion and also content from after the invasion.

Choice B is incorrect because the text clearly indicates that the collection is in Nahuatl, not Spanish, so the compilers’ unfamiliarity with Spanish is irrelevant to whether the collection contains material composed after the Spanish invasion. Choice C is incorrect because the text mentions only the Aztec Empire and Spain: there is no information about the relationship of Aztec literature to any traditions other than its own or Spain’s. Choice D is incorrect because the text states that some of the poems make “inarguable references” to common Spanish customs, which conflicts with the idea that these references can reasonably be attributed to mere coincidence.

Reading and Writing: Question 17

To humans, it does not appear that the golden orb-weaver spider uses camouflage to capture its blank the brightly colored arachnid seems to wait conspicuously in the center of its large circular web for insects to approach. Researcher Po Peng of the University of Melbourne has explained that the spider’s distinctive coloration may in fact be part of its appeal.

Which choice completes the text so that it conforms to the conventions of Standard English?

  1. prey, rather,

  2. prey rather,

  3. prey, rather;

  4. prey; rather,

Answer

You selected answer D. The correct answer is D.

Rationale

Choice D is the best answer. The convention being tested is the coordination of main clauses within a sentence. The semicolon is correctly used to join the first main clause ("To humans…prey") and the second main clause ("rather…approach"). Further, the comma after the adverb "rather" is correctly used to separate the adverb from the main clause ("the brightly…approach") it modifies, logically indicating that the information in this clause (how the spider’s behavior appears to humans) is contrary to the information in the previous clause (how the spider’s behavior does not appear to humans).

Choice A is incorrect because it results in a comma splice. Without a conjunction following it, a comma can’t be used in this way to join two main clauses. Choice B is incorrect because it results in a run-on sentence. The two main clauses are fused without appropriate punctuation and/or a conjunction. Choice C is incorrect. Placing the comma between the first main clause "To humans…prey" and the adverb "rather" illogically indicates that the information in the first main clause is contrary to what came before, which doesn’t make sense in this context.

Reading and Writing: Question 18

Bonnie Buratti of NASA’s Jet Propulsion Laboratory blank data about Saturn’s rings collected by the Cassini spacecraft when she made an interesting discovery: the tiny moons embedded between and within Saturn’s rings are shaped by the buildup of ring material on the moons’ surfaces.

Which choice completes the text so that it conforms to the conventions of Standard English?

  1. studies 

  2. has been studying

  3. will study

  4. was studying

Answer

You selected answer D. The correct answer is D.

Rationale

Choice D is the best answer. The convention being tested is the use of verbs to express tense in a sentence. In this choice, the past progressive tense verb “was studying” is consistent with the other past tense verbs (e.g., “made” and “collected”) used to describe Buratti’s discovery. Further, the past progressive tense correctly indicates that an ongoing action in the past was occurring (she was studying) at the same time that another event occurred in the past (she made an interesting discovery). 

Choice A is incorrect because the present tense verb “studies” isn’t consistent with the past tense verbs used to describe Buratti’s discovery. Choice B is incorrect because the present perfect progressive tense verb “has been studying” isn’t consistent with the past tense verbs used to describe Buratti’s discovery. Choice C is incorrect because the future tense verb “will study” isn’t consistent with the past tense verbs used to describe Buratti’s discovery.

Reading and Writing: Question 19

On July 23, 1854, a clipper ship called the Flying Cloud entered San Francisco blank left New York Harbor under the guidance of Captain Josiah Perkins Creesy and his wife, navigator Eleanor Creesy, a mere 89 days and 8 hours earlier, the celebrated ship set a record that would stand for 135 years.

Which choice completes the text so that it conforms to the conventions of Standard English?

  1. Bay and having

  2. Bay. Having

  3. Bay, having

  4. Bay having

Answer

You selected answer C. The correct answer is B.

Rationale

Choice B is the best answer. The convention being tested is punctuation use between sentences. In this choice, the period after "Bay" is used correctly to mark the boundary between one sentence ("On…Bay") and another sentence that begins with a supplementary phrase ("Having…years"). Here, the supplementary phrase beginning with "having" modifies the subject of the second sentence, "the celebrated ship."

Choice A is incorrect. Without a comma preceding it, the conjunction "and" can’t be used in this way to join sentences. Choice C is incorrect because it results in a comma splice. A comma can’t be used in this way to join two sentences. Choice D is incorrect because it results in a run-on sentence. The sentences ("On…Bay" and "having…years") are fused without punctuation and/or a conjunction.

Reading and Writing: Question 20

Bengali author Toru Dutt’s A Sheaf Gleaned in French Fields (1876), a volume of English translations of French poems, blank scholars’ understanding of the transnational and multilingual contexts in which Dutt lived and worked.

Which choice completes the text so that it conforms to the conventions of Standard English?

  1. has enhanced

  2. are enhancing

  3. have enhanced

  4. enhance

Answer

You selected answer A. The correct answer is A.

Rationale

Choice A is the best answer. The convention being tested is subject-verb agreement. The singular verb "has enhanced" agrees in number with the singular subject "A Sheaf Gleaned in French Fields," which is the title of a book of poems.

Choice B is incorrect because the plural verb "are enhancing" doesn’t agree in number with the singular subject "A Sheaf Gleaned in French Fields." Choice C is incorrect because the plural verb "have enhanced" doesn’t agree in number with the singular subject "A Sheaf Gleaned in French Fields." Choice D is incorrect because the plural verb "enhance" doesn’t agree in number with the singular subject "A Sheaf Gleaned in French Fields."

Reading and Writing: Question 20

Bengali author Toru Dutt’s A Sheaf Gleaned in French Fields (1876), a volume of English translations of French poems, blank scholars’ understanding of the transnational and multilingual contexts in which Dutt lived and worked.

Which choice completes the text so that it conforms to the conventions of Standard English?

  1. has enhanced

  2. are enhancing

  3. have enhanced

  4. enhance

Answer

You selected answer A. The correct answer is A.

Rationale

Choice A is the best answer. The convention being tested is subject-verb agreement. The singular verb "has enhanced" agrees in number with the singular subject "A Sheaf Gleaned in French Fields," which is the title of a book of poems.

Choice B is incorrect because the plural verb "are enhancing" doesn’t agree in number with the singular subject "A Sheaf Gleaned in French Fields." Choice C is incorrect because the plural verb "have enhanced" doesn’t agree in number with the singular subject "A Sheaf Gleaned in French Fields." Choice D is incorrect because the plural verb "enhance" doesn’t agree in number with the singular subject "A Sheaf Gleaned in French Fields."

Reading and Writing: Question 21

Hegra is an archaeological site in present-day Saudi Arabia and was the second largest city of the Nabataean Kingdom (fourth century BCE to first century CE). Archaeologist Laila Nehmé recently traveled to Hegra to study its ancient blank into the rocky outcrops of a vast desert, these burial chambers seem to blend seamlessly with nature.

Which choice completes the text so that it conforms to the conventions of Standard English?

  1. tombs. Built

  2. tombs, built

  3. tombs and built

  4. tombs built

Answer

You selected answer B. The correct answer is A.

Rationale

Choice A is the best answer. The convention being tested is punctuation use between sentences. In this choice, the period after "tombs" is used correctly to mark the boundary between one sentence ("Archaeologist...tombs") and another ("Built...nature").

Choice B is incorrect because it results in a comma splice. A comma can’t be used in this way to mark the boundary between sentences. Choice C is incorrect. Without a comma preceding it, the conjunction "and" can’t be used in this way to join the two sentences. Choice D is incorrect because it results in a run-on sentence. The sentences ("Archaeologist...tombs" and "Built...nature") are fused without punctuation and/or a conjunction.

Reading and Writing: Question 22

In 1937, Chinese American screen actor Anna May Wong, who had portrayed numerous villains and secondary characters but never a heroine, finally got a starring role in Paramount Pictures’ Daughter of Shanghai, a film that blank “expanded the range of possibilities for Asian images on screen.”

Which choice completes the text so that it conforms to the conventions of Standard English?

  1. critic, Stina Chyn, claims

  2. critic, Stina Chyn, claims,

  3. critic Stina Chyn claims

  4. critic Stina Chyn, claims,

Answer

You selected answer D. The correct answer is C.

Rationale

Choice C is the best answer. The conventions being tested are punctuation use between titles and proper nouns and between verbs and integrated quotations. No punctuation is needed to set off the proper noun "Stina Chyn" from the title that describes Chyn, "critic." Because "Stina Chyn" is essential information identifying the "critic," no punctuation is necessary. Further, no punctuation is needed between the verb "claims" and the following quotation because the quotation is integrated into the structure of the sentence.

Choice A is incorrect because no punctuation is needed before or after the proper noun "Stina Chyn." Setting the critic’s name off with commas suggests that it could be removed without affecting the coherence of the sentence, which isn’t the case. Choice B is incorrect because no punctuation is needed before or after the proper noun "Stina Chyn." Setting the critic’s name off with commas suggests that it could be removed without affecting the coherence of the sentence, which isn’t the case. Additionally, no punctuation is needed between "claims" and the integrated quotation. Choice D is incorrect because no punctuation is needed between the verb "claims" and its subject, "critic Stina Chyn." Additionally, no punctuation is needed between the verb "claims" and the integrated quotation.

Reading and Writing: Question 23

The Arctic-Alpine Botanic Garden in Norway and the Jardim Botânico of Rio de Janeiro in Brazil are two of many botanical gardens around the world dedicated to growing diverse plant blank fostering scientific research; and educating the public about plant conservation.

Which choice completes the text so that it conforms to the conventions of Standard English?

  1. species, both native and nonnative,

  2. species, both native and nonnative;

  3. species; both native and nonnative,

  4. species both native and nonnative,

Answer

You selected answer B. The correct answer is B.

Rationale

Choice B is the best answer. The convention being tested is the punctuation of items in a complex series (a series including internal punctuation). The semicolon after "nonnative" is correctly used to separate the first item ("growing diverse plant species, both native and nonnative") and the second item ("fostering scientific research") in the series of things that botanical gardens are dedicated to. Further, the comma after "species" is correctly used to separate the noun phrase "diverse plant species" and the supplementary phrase "both native and nonnative" that modifies it.

Choice A is incorrect because a comma (specifically, the comma after "nonnative") can’t be used in this way to separate items in a complex series. Choice C is incorrect because a semicolon can’t be used in this way to separate the noun phrase "diverse plant species" and the supplementary phrase "both native and nonnative" that modifies it. Further, a comma can’t be used in this way to separate items in a complex series. Choice D is incorrect because it fails to use appropriate punctuation to separate the noun phrase "diverse plant species" and the supplementary phrase "both native and nonnative" that modifies it. Further, a comma can’t be used in this way to separate items in a complex series.

Reading and Writing: Question 24

The Babylonian king Hammurabi achieved much during his forty-year reign. He conquered all of Mesopotamia and built Babylon into one of the most powerful cities of the ancient world. Today, blank he is mainly remembered for a code of laws inscribed on a seven-foot-tall block of stone: the Code of Hammurabi.

Which choice completes the text with the most logical transition?

  1. therefore,

  2. likewise,

  3. however,

  4. for instance,

Answer

You selected answer C. The correct answer is C.

Rationale

Choice C is the best answer. “However” logically signals that the information in this sentence—that Hammurabi is mainly remembered for just a single achievement, the Code of Hammurabi—is contrary to what might be assumed from the previous information about Hammurabi’s many achievements. 

Choice A is incorrect because “therefore” illogically signals that the information in this sentence is a result of the previous information about Hammurabi’s many achievements. Instead, this sentence makes a point that is contrary to what might be assumed from the previous information. Choice B is incorrect because “likewise” illogically signals that the information in this sentence is similar to the previous information about Hammurabi’s many achievements. Instead, this sentence makes a point that is contrary to what might be assumed from the previous information. Choice D is incorrect because “for instance” illogically signals that this sentence exemplifies the previous information about Hammurabi’s many achievements. Instead, this sentence makes a point that is contrary to what might be assumed from the previous information.

Reading and Writing: Question 25

In her poetry collection Thomas and Beulah, Rita Dove interweaves the titular characters’ personal stories with broader historical narratives. She places Thomas’s journey from the American South to the Midwest in the early 1900s within the larger context of the Great Migration. blank Dove sets events from Beulah’s personal life against the backdrop of the US Civil Rights Movement.

Which choice completes the text with the most logical transition?

  1. Specifically,

  2. Thus,

  3. Regardless,

  4. Similarly,

Answer

You selected answer D. The correct answer is D.

Rationale

Choice D is the best answer. “Similarly” logically signals that the information in the sentence—that Dove situates Beulah’s life in the context of the US Civil Rights Movement—is similar to the previous information about Thomas and the Great Migration. Both sentences support the first sentence’s claim that Dove portrays her characters in the context of broader historical narratives. 

Choice A is incorrect because “specifically” illogically signals that the information about Beulah in this sentence provides specific details elaborating on the previous information about Thomas. Instead, it’s similar to the previous information about Thomas. Choice B is incorrect because “thus” illogically signals that the information about Beulah in this sentence is a result or consequence of the previous information about Thomas. Instead, it’s similar to the previous information about Thomas. Choice C is incorrect because “regardless” illogically signals that the information about Beulah in this sentence is true despite the previous information about Thomas. Instead, it’s similar to the previous information about Thomas.

Reading and Writing: Question 26

When designing costumes for film, American artist Suttirat Larlarb typically custom fits the garments to each actor. blank for the film Sunshine, in which astronauts must reignite a dying Sun, she designed a golden spacesuit and had a factory reproduce it in a few standard sizes; lacking a tailor-made quality, the final creations reflected the ungainliness of actual spacesuits.

Which choice completes the text with the most logical transition?

  1. Nevertheless,

  2. Thus,

  3. Likewise,

  4. Moreover,

Answer

You selected answer B. The correct answer is A.

Rationale

Choice A is the best answer. “Nevertheless” logically signals that the information in this sentence—that the spacesuits Suttirat Larlarb designed for the film Sunshine were made in standard sizes in a factory—presents a notable exception to Larlarb’s typical approach of custom-fitting garments to actors, which is described in the previous sentence. 

Choice B is incorrect because “thus” illogically signals that the information in this sentence is a result or consequence of the previous information about Larlarb’s typical approach of custom-fitting garments to actors. Instead, it presents a notable exception to Larlarb’s typical approach. Choice C is incorrect because “likewise” illogically signals that the information in this sentence is similar to the previous information about Larlarb’s typical approach of custom-fitting garments to actors. Instead, it presents a notable exception to Larlarb’s typical approach. Choice D is incorrect because “moreover” illogically signals that the information in this sentence merely adds to the previous information about Larlarb’s typical approach of custom-fitting garments to actors. Instead, it presents a notable exception to Larlarb’s typical approach. 

Reading and Writing: Question 27

While researching a topic, a student has taken the following notes:

  • Astronomers estimate that the number of comets orbiting the Sun is in the billions.
  • 81P/Wild is one of many comets whose orbit has changed over time.
  • 81P/Wild’s orbit once lay between the orbits of Uranus and Jupiter.
  • The comet’s orbit is now positioned between the orbits of Jupiter and Mars.

The student wants to make and support a generalization about the orbits of comets. Which choice most effectively uses relevant information from the notes to accomplish these goals? 

  1. Astronomers estimate that the number of comets orbiting the Sun is in the billions; the comets’ orbits may change over time.

  2. Like Uranus, Jupiter, and Mars, billions of comets orbit the Sun.

  3. One example of a comet is 81P/Wild, whose orbit around the Sun once lay between Uranus’s and Jupiter’s orbits but is now positioned between those of Jupiter and Mars.

  4. A comet’s orbit around the Sun may change over time: the orbit of comet 81P/Wild once lay between the orbits of Uranus and Jupiter but is now positioned between those of Jupiter and Mars.

Answer

You selected answer D. The correct answer is D.

Rationale

Choice D is the best answer. The sentence makes a generalization—that a comet’s orbit around the Sun may change over time—and supports the generalization with the example of the orbit of comet 81P/Wild, which once lay between the orbits of Uranus and Jupiter but is now positioned between the orbits of Jupiter and Mars.

Choice A is incorrect. The sentence emphasizes the number of comets orbiting the Sun and makes a generalization about their orbits, but it doesn’t support the generalization with an example. Choice B is incorrect. The sentence makes a generalization about comets and compares them to the planets Uranus, Jupiter, and Mars; it doesn’t make and support a generalization about comets’ orbits. Choice C is incorrect. While the sentence provides an example of a comet whose orbit has changed, it doesn’t make a generalization about the orbits of comets.

Math: Question 1

If x=7, what is the value of x+20?

  1. 13

  2. 20

  3. 27

  4. 34

Answer

You selected answer C. The correct answer is C.

Rationale

Choice C is correct. It’s given that x=7. Substituting 7 for x into the given expression x+20 yields 7+20, which is equivalent to 27.

Choice A is incorrect. This is the value of x+6.

Choice B is incorrect. This is the value of x+13.

Choice D is incorrect. This is the value of x+27.

Math: Question 2

Data set X: 5, 9, 9, 13

Data set Y: 5, 9, 9, 13, 27

The lists give the values in data sets X and Y. Which statement correctly compares the mean of data set X and the mean of data set Y?

  1. The mean of data set X is greater than the mean of data set Y.

  2. The mean of data set X is less than the mean of data set Y.

  3. The means of data set X and data set Y are equal.

  4. There is not enough information to compare the means.

Answer

You selected answer B. The correct answer is B.

Rationale

Choice B is correct. ​​The mean of a data set is the sum of the values in the data set divided by the number of values in the data set. It follows that the mean of data set X is 5+9+9+134, or 9, and the mean of data set Y is 5+9+9+13+275, or 12.6. Since 9 is less than 12.6, the mean of data set X is less than the mean of data set Y.

Choice A is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from conceptual or calculation errors.

Math: Question 3

  • Right triangle upper P upper Q upper R is labeled as follows:
    • Angle upper R is a right angle.
  • Right triangle upper S upper T upper U is labeled as follows:
    • Angle upper U is a right angle.
  • A note indicates the figures are not drawn to scale.

 

Right triangles PQR and STU are similar, where P corresponds to S. If the measure of angle Q is 18°, what is the measure of angle S?

  1. 18°

  2. 72°

  3. 82°

  4. 162°

Answer

You selected answer B. The correct answer is B.

Rationale

Choice B is correct. In similar triangles, corresponding angles are congruent. It’s given that right triangles PQR and STU are similar, where angle P corresponds to angle S. It follows that angle P is congruent to angle S. In the triangles shown, angle R and angle U are both marked as right angles, so angle R and angle U are corresponding angles. It follows that angle Q and angle T are corresponding angles, and thus, angle Q is congruent to angle T. It’s given that the measure of angle Q is 18°, so the measure of angle T is also 18°. Angle U is a right angle, so the measure of angle U is 90°. The sum of the measures of the interior angles of a triangle is 180°. Thus, the sum of the measures of the interior angles of triangle STU is 180 degrees. Let s represent the measure, in degrees, of angle S. It follows that s+18+90=180, or s+108=180. Subtracting 108 from both sides of this equation yields s=72. Therefore, if the measure of angle Q is 18 degrees, then the measure of angle S is 72 degrees.

Choice A is incorrect. This is the measure of angle T.

Choice C is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect. This is the sum of the measures of angle S and angle U.

Math: Question 4

A rocket contained 467,000 kilograms (kg) of propellant before launch. Exactly 21 seconds after launch, 362,105 kg of this propellant remained. On average, approximately how much propellant, in kg, did the rocket burn each second after launch?

  1. 4,995

  2. 17,243

  3. 39,481

  4. 104,895

Answer

You selected answer A. The correct answer is A.

Rationale

Choice A is correct. It’s given that the rocket contained 467,000 kilograms (kg) of propellant before launch and had 362,105 kg remaining exactly 21 seconds after launch. Finding the difference between the amount, in kg, of propellant before launch and the remaining amount, in kg, of propellant after launch gives the amount, in kg, of propellant burned during the 21 seconds: 467,000-362,105=104,895. Dividing the amount of propellant burned by the number of seconds yields 104,89521=4,995. Thus, an average of 4,995 kg of propellant burned each second after launch.

Choice B is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from finding the amount of propellant burned, rather than the amount of propellant burned each second.

Math: Question 5

4x=20

-3x+y=-7

The solution to the given system of equations is x,y. What is the value of x+y?

  1. -27

  2. -13

  3. 13

  4. 27

Answer

You selected answer C. The correct answer is C.

Rationale

Choice C is correct. It's given that 4x=20 and -3x+y=-7 is a system of equations with a solution x,y. Adding the second equation in the given system to the first equation yields 4x+(-3x+y)=20+-7, which is equivalent to x+y=13. Thus, the value of x+y is 13

Choice A is incorrect. This represents the value of -2x+y-1.

Choice B is incorrect. This represents the value of -x+y.

Choice D is incorrect. This represents the value of 2x+y+1.

Math: Question 6

A certain apprentice has enrolled in 85 hours of training courses. The equation 10x+15y=85 represents this situation, where x is the number of on-site training courses and y is the number of online training courses this apprentice has enrolled in. How many more hours does each online training course take than each on-site training course?

Answer

5

You answered 8.5. The correct answer is 5.

Rationale

The correct answer is 5. It's given that the equation 10x+15y=85 represents the situation, where x is the number of on-site training courses, y is the number of online training courses, and 85 is the total number of hours of training courses the apprentice has enrolled in. Therefore, 10x represents the number of hours the apprentice has enrolled in on-site training courses, and 15y represents the number of hours the apprentice has enrolled in online training courses. Since x is the number of on-site training courses and y is the number of online training courses the apprentice has enrolled in, 10 is the number of hours each on-site course takes and 15 is the number of hours each online course takes. Subtracting these numbers gives 15-10, or 5 more hours each online training course takes than each on-site training course.

Math: Question 7

Square X has a side length of 12 centimeters. The perimeter of square Y is 2 times the perimeter of square X. What is the length, in centimeters, of one side of square Y?

  1. 6

  2. 10

  3. 14

  4. 24

Answer

You selected answer D. The correct answer is D.

Rationale

Choice D is correct. The perimeter, P, of a square can be found using the formula P=4s, where s is the length of each side of the square. It's given that square X has a side length of 12 centimeters. Substituting 12 for s in the formula for the perimeter of a square yields P=412, or P=48. Therefore, the perimeter of square X is 48 centimeters. It’s also given that the perimeter of square Y is 2 times the perimeter of square X. Therefore, the perimeter of square Y is 248, or 96, centimeters. Substituting 96 for P in the formula P=4s gives 96=4s. Dividing both sides of this equation by 4 gives 24=s. Therefore, the length of one side of square Y is 24 centimeters.

Choice A is incorrect and may result from conceptual or calculation errors.

Choice B is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.

Math: Question 8

gm=-0.05m+12.1

The given function g models the number of gallons of gasoline that remains from a full gas tank in a car after driving m miles. According to the model, about how many gallons of gasoline are used to drive each mile?

  1. 0.05

  2. 12.1

  3. 20

  4. 242.0

Answer

You selected answer A. The correct answer is A.

Rationale

Choice A is correct. It's given that the function g models the number of gallons that remain from a full gas tank in a car after driving m miles. In the given function gm=-0.05m+12.1, the coefficient of m is -0.05. This means that for every increase in the value of m by 1, the value of gm decreases by 0.05. It follows that for each mile driven, there is a decrease of 0.05 gallons of gasoline. Therefore, 0.05 gallons of gasoline are used to drive each mile.

Choice B is incorrect and represents the number of gallons of gasoline in a full gas tank.

Choice C is incorrect and may result from conceptual errors.

Choice D is incorrect and may result from conceptual errors.

Math: Question 9

If 4x-4=112, what is the positive value of x-1?

Answer

28

You answered 1. The correct answer is 28.

Rationale

The correct answer is 28. The given absolute value equation can be rewritten as two linear equations: 4x-4=112 and -4x-4=112, or 4x-4=-112. Adding 4 to both sides of the equation 4x-4=112 results in 4x=116. Dividing both sides of this equation by 4 results in x=29. Adding 4 to both sides of the equation 4x-4=-112 results in 4x=-108. Dividing both sides of this equation by 4 results in x=-27. Therefore, the two values of x-1 are 29-1, or 28, and -27-1, or -28. Thus, the positive value of x-1 is 28.

Alternate approach: The given equation can be rewritten as 4x-1=112, which is equivalent to 4x-1=112. Dividing both sides of this equation by 4 yields x-1=28. This equation can be rewritten as two linear equations: x-1=28 and -x-1=28, or x-1=-28. Therefore, the positive value of x-1 is 28.

Math: Question 10

17b=11xy

The given equation relates the positive numbers b, x, and y. Which equation correctly expresses x in terms of b and y?

  1. x=7by11

  2. x=y-77b

  3. x=y77b

  4. x=77by

Answer

You selected answer C. The correct answer is C.

Rationale

Choice C is correct. Multiplying each side of the given equation by y yields the equivalent equation y7b=11x. Dividing each side of this equation by 11 yields y77b=x, or x=y77b.

Choice A is incorrect. This equation is not equivalent to the given equation. 

Choice B is incorrect. This equation is not equivalent to the given equation. 

Choice D is incorrect. This equation is not equivalent to the given equation. 

Math: Question 11

x 10 15 20 25
fx 82 137 192 247

The table shows four values of x and their corresponding values of fx. There is a linear relationship between x and fx that is defined by the equation fx=mx-28, where m is a constant. What is the value of m?

Answer

11

You answered 11. The correct answer is 11.

Rationale

The correct answer is 11. It's given that fx is defined by the equation f(x)=mx-28, where m is a constant. It's also given in the table that when x=10, fx=82. Substituting 10 for x and 82 for fx in the equation fx=mx-28 yields 82=m10-28. Adding 28 to both sides of this equation yields 110=10m. Dividing both sides of this equation by 10 yields 11=m. Therefore, the value of m is 11.

Math: Question 12

(5x3-3)-(-4x3+8)

The given expression is equivalent to bx3-11, where b is a constant. What is the value of b?

Answer

9

You answered 9. The correct answer is 9.

Rationale

The correct answer is 9. The given expression can be rewritten as 5x3-3+-1-4x3+8. By applying the distributive property, this expression can be rewritten as 5x3-3+4x3+-8, which is equivalent to 5x3+4x3+-3+-8. Adding like terms in this expression yields 9x3-11. Since it's given that 5x3-3--4x3+8 is equivalent to bx3-11, it follows that 9x3-11 is equivalent to bx3-11. Therefore, the coefficients of x3 in these two expressions must be equivalent, and the value of b must be 9.

Math: Question 13

y>14

4x+y<18

The point x,53 is a solution to the system of inequalities in the xy-plane. Which of the following could be the value of x?

  1. -9

  2. -5

  3. 5

  4. 9

Answer

You selected answer A. The correct answer is A.

Rationale

Choice A is correct. It’s given that the point x,53 is a solution to the given system of inequalities in the xy-plane. This means that the coordinates of the point, when substituted for the variables x and y, make both of the inequalities in the system true. Substituting 53 for y in the inequality y>14 yields 53>14, which is true. Substituting 53 for y in the inequality 4x+y<18 yields 4x+53<18. Subtracting 53 from both sides of this inequality yields 4x<-35. Dividing both sides of this inequality by 4 yields x<-8.75. Therefore, x must be a value less than -8.75. Of the given choices, only -9 is less than -8.75.

Choice B is incorrect. Substituting -5 for x and 53 for y in the inequality 4x+y<18 yields 4-5+53<18, or 33<18, which is not true.

Choice C is incorrect. Substituting 5 for x and 53 for y in the inequality 4x+y<18 yields 45+53<18, or 73<18, which is not true.

Choice D is incorrect. Substituting 9 for x and 53 for y in the inequality 4x+y<18 yields 49+53<18, or 89<18, which is not true.

Math: Question 14

Bacteria are growing in a liquid growth medium. There were 300,000 cells per milliliter during an initial observation. The number of cells per milliliter doubles every 3 hours. How many cells per milliliter will there be 15 hours after the initial observation?

  1. 1,500,000

  2. 2,400,000

  3. 4,500,000

  4. 9,600,000

Answer

You selected answer B. The correct answer is D.

Rationale

Choice D is correct. Let y represent the number of cells per milliliter x hours after the initial observation. Since the number of cells per milliliter doubles every 3 hours, the relationship between x and y can be represented by an exponential equation of the form y=abxk, where a is the number of cells per milliliter during the initial observation and the number of cells per milliliter increases by a factor of b every k hours. It’s given that there were 300,000 cells per milliliter during the initial observation. Therefore, a=300,000. It’s also given that the number of cells per milliliter doubles, or increases by a factor of 2, every 3 hours. Therefore, b=2 and k=3. Substituting 300,000 for a, 2 for b, and 3 for k in the equation y=abxk yields y=300,0002x3. The number of cells per milliliter there will be 15 hours after the initial observation is the value of y in this equation when x=15. Substituting 15 for x in the equation y=300,0002x3 yields y=300,0002153, or y=300,00025. This is equivalent to y=300,00032, or y=9,600,000. Therefore, 15 hours after the initial observation, there will be 9,600,000 cells per milliliter.

Choice A is incorrect and may result from conceptual or calculation errors.

Choice B is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.

Math: Question 15

  • Moving from left to right:
    • The curve is in quadrant 1.
    • From point (0 comma 9), the curve trends down sharply.
    • From point (5 comma 1), the curve trends down gradually.

The graph gives the estimated number of catalogs y, in thousands, a company sent to its customers at the end of each year, where x represents the number of years since the end of 1992, where 0x10. Which statement is the best interpretation of the y-intercept in this context?

  1. The estimated total number of catalogs the company sent to its customers during the first 10 years was 9,000.

  2. The estimated total number of catalogs the company sent to its customers from the end of 1992 to the end of 2002 was 90.

  3. The estimated number of catalogs the company sent to its customers at the end of 1992 was 9.

  4. The estimated number of catalogs the company sent to its customers at the end of 1992 was 9,000.

Answer

You selected answer D. The correct answer is D.

Rationale

Choice D is correct. The y-intercept of the graph is the point at which the graph crosses the y-axis, or the point for which the value of x is 0. Therefore, the y-intercept of the given graph is the point 0,9. It's given that x represents the number of years since the end of 1992. Therefore, x=0 represents 0 years since the end of 1992, which is the same as the end of 1992. It's also given that y represents the estimated number of catalogs, in thousands, that the company sent to its customers at the end of the year. Therefore, y=9 represents 9,000 catalogs. It follows that the y-intercept 0,9 means that the estimated number of catalogs the company sent to its customers at the end of 1992 was 9,000

Choice A is incorrect and may result from conceptual or calculation errors.

Choice B is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.

Math: Question 16

Which expression is equivalent to x9y97, where x and y are positive?

  1. xy79

  2. xy97

  3. xy16

  4. xy63

Answer

You selected answer D. The correct answer is B.

Rationale

Choice B is correct. For positive values of a and b, ambm=abm, an=a1n, and ajk=ajk. Therefore, the given expression, x9y97, can be rewritten as xy97. This expression is equivalent to xy917, which can be rewritten as xy9·17, or xy97

Choice A is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from conceptual or calculation errors.

Math: Question 17

The population of City A increased by 7% from 2015 to 2016. If the 2016 population is k times the 2015 population, what is the value of k?

  1. 0.07

  2. 0.7

  3. 1.07

  4. 1.7

Answer

You selected answer A. The correct answer is C.

Rationale

Choice C is correct. It's given that the population of City A increased by 7% from 2015 to 2016. Therefore, the population of City A in 2016 includes 100% of the population of City A in 2015 plus an additional 7% of the population of City A in 2015. This means that the population of City A in 2016 is 107% of the population in 2015. Thus, the population of City A in 2016 is 107100, or 1.07, times the 2015 population. Therefore, the value of k is 1.07.

Choice A is incorrect. This would be the value of k if the population in 2016 was 7% of the population in 2015.

Choice B is incorrect. This would be the value of k if the population in 2016 was 70% of the population in 2015.

Choice D is incorrect. This would be the value of k if the population increased by 70%, not 7%, from 2015 to 2016.

Math: Question 18

Which of the following systems of linear equations has no solution?

  1. x=3

    y=5

  2. y=6x+6

    y=5x+6

  3. y=16x+3

    y=16x+19

  4. y=5

    y=5x+5

Answer

You selected answer A. The correct answer is C.

Rationale

Choice C is correct. A system of two linear equations in two variables, x and y, has no solution if the graphs of the lines represented by the equations in the xy-plane are distinct and parallel. The graphs of two lines in the xy-plane represented by equations in slope-intercept form, y=mx+b, where m and b are constants, are parallel if their slopes, m, are the same and are distinct if their y-coordinates of the y-intercepts, b, are different. In the equations y=16x+3 and y=16x+19, the values of m are each 16, and the values of b are 3 and 19, respectively. Since the slopes of these lines are the same, and the y-coordinates of the y-intercepts are different, it follows that the system of linear equations in choice C has no solution. 

Choice A is incorrect. The lines represented by the equations in this system are a vertical line and a horizontal line. Therefore, this system has a solution, 3,5, rather than no solution.

Choice B is incorrect. The two lines represented by these equations have different slopes and the same y-coordinate of the y-intercept. Therefore, this system has a solution, 0,6, rather than no solution.

Choice D is incorrect. The two lines represented by these equations are a horizontal line and a line with a slope of 5 that have the same y-coordinate of the y-intercept. Therefore, this system has a solution, 0,5, rather than no solution. 

Math: Question 19

The first term of a sequence is 9. Each term after the first is 4 times the preceding term. If w represents the nth term of the sequence, which equation gives w in terms of n?

  1. w=49n

  2. w=49n-1

  3. w=94n

  4. w=94n-1

Answer

You selected answer A. The correct answer is D.

Rationale

Choice D is correct. Since w represents the nth term of the sequence and 9 is the first term of the sequence, the value of w is 9 when the value of n is 1. Since each term after the first is 4 times the preceding term, the value of w is 94 when the value of n is 2. Therefore, the value of w is 944, or 942, when the value of n is 3. More generally, the value of w is 94n-1 for a given value of n. Therefore, the equation w=94n-1 gives w in terms of n.

Choice A is incorrect. This equation describes a sequence for which the first term is 36, rather than 9, and each term after the first is 9, rather than 4, times the preceding term. 

Choice B is incorrect. This equation describes a sequence for which the first term is 4, rather than 9, and each term after the first is 9, rather than 4, times the preceding term.

Choice C is incorrect. This equation describes a sequence for which the first term is 36, rather than 9.

Math: Question 20

The minimum value of x is 12 less than 6 times another number n. Which inequality shows the possible values of x?

  1. x6n-12

  2. x6n-12

  3. x12-6n

  4. x12-6n

Answer

You selected answer B. The correct answer is B.

Rationale

Choice B is correct. It’s given that the minimum value of x is 12 less than 6 times another number n. Therefore, the possible values of x are all greater than or equal to the value of 12 less than 6 times n. The value of 6 times n is given by the expression 6n. The value of 12 less than 6n is given by the expression 6n-12. Therefore, the possible values of x are all greater than or equal to 6n-12. This can be shown by the inequality x6n-12.

Choice A is incorrect. This inequality shows the possible values of x if the maximum, not the minimum, value of x is 12 less than 6 times n.

Choice C is incorrect. This inequality shows the possible values of x if the maximum, not the minimum, value of x is 6 times n less than 12, not 12 less than 6 times n.

Choice D is incorrect. This inequality shows the possible values of x if the minimum value of x is 6 times n less than 12, not 12 less than 6 times n.

Math: Question 21

RS=20

ST=48

TR=52

The side lengths of right triangle RST are given. Triangle RST is similar to triangle UVW, where S corresponds to V and T corresponds to W. What is the value of tanW?

  1. 513

  2. 512

  3. 1213

  4. 125

Answer

You selected answer B. The correct answer is B.

Rationale

Choice B is correct. It's given that right triangle RST is similar to triangle UVW, where S corresponds to V and T corresponds to W. It's given that the side lengths of the right triangle RST are RS=20, ST=48, and TR=52. Corresponding angles in similar triangles are equal. It follows that the measure of angle T is equal to the measure of angle W. The hypotenuse of a right triangle is the longest side. It follows that the hypotenuse of triangle RST is side TR. The hypotenuse of a right triangle is the side opposite the right angle. Therefore, angle S is a right angle. The adjacent side of an acute angle in a right triangle is the side closest to the angle that is not the hypotenuse. It follows that the adjacent side of angle T is side ST. The opposite side of an acute angle in a right triangle is the side across from the acute angle. It follows that the opposite side of angle T is side RS. The tangent of an acute angle in a right triangle is the ratio of the length of the opposite side to the length of the adjacent side. Therefore, tan T=RSST. Substituting 20 for RS and 48 for ST in this equation yields tan T=2048, or tan T=512. The tangents of two acute angles with equal measures are equal. Since the measure of angle T is equal to the measure of angle W, it follows that tan T=tan W. Substituting 512 for tan T in this equation yields 512=tan W. Therefore, the value of tan W is 512.

Choice A is incorrect. This is the value of sin W.

Choice C is incorrect. This is the value of cos W.

Choice D is incorrect. This is the value of 1tan W.

Math: Question 22

The graph of 9x-10y=19 is translated down 4 units in the xy-plane. What is the x-coordinate of the x-intercept of the resulting graph?

Answer

59/9, 6.555, 6.556

You answered 5. The correct answer is 59/9, 6.555, 6.556.

Rationale

The correct answer is 599. When the graph of an equation in the form Ax+By=C, where A, B, and C are constants, is translated down k units in the xy-plane, the resulting graph can be represented by the equation Ax+By+k=C. It’s given that the graph of 9x-10y=19 is translated down 4 units in the xy-plane. Therefore, the resulting graph can be represented by the equation 9x-10y+4=19, or 9x-10y-40=19. Adding 40 to both sides of this equation yields 9x-10y=59. The x-coordinate of the x-intercept of the graph of an equation in the xy-plane is the value of x in the equation when y=0. Substituting 0 for y in the equation 9x-10y=59 yields 9x-100=59, or 9x=59. Dividing both sides of this equation by 9 yields x=599. Therefore, the x-coordinate of the x-intercept of the resulting graph is 599. Note that 59/9, 6.555, and 6.556 are examples of ways to enter a correct answer.

Math: Question 1

There are 55 students in Spanish club. A sample of the Spanish club students was selected at random and asked whether they intend to enroll in a new study program. Of those surveyed, 20% responded that they intend to enroll in the study program. Based on this survey, which of the following is the best estimate of the total number of Spanish club students who intend to enroll in the study program?

  1. 11

  2. 20

  3. 44

  4. 55

Answer

You selected answer A. The correct answer is A.

Rationale

Choice A is correct. It’s given that 20% of the students surveyed responded that they intend to enroll in the study program. Therefore, the proportion of students in Spanish club who intend to enroll in the study program, based on the survey, is 0.20. Since there are 55 total students in Spanish club, the best estimate for the total number of these students who intend to enroll in the study program is 550.20, or 11.

Choice B is incorrect. This is the best estimate for the percentage, rather than the total number, of students in Spanish club who intend to enroll in the study program.

Choice C is incorrect. This is the best estimate for the total number of Spanish club students who do not intend to enroll in the study program.

Choice D is incorrect. This is the total number of students in Spanish club.

Math: Question 2

A machine makes large boxes or small boxes, one at a time, for a total of 700 minutes each day. It takes the machine 10 minutes to make a large box or 5 minutes to make a small box. Which equation represents the possible number of large boxes, x, and small boxes, y, the machine can make each day?

  1. 5x+10y=700

  2. 10x+5y=700

  3. x+y10+5=700

  4. 10+x5+y=700

Answer

You selected answer B. The correct answer is B.

Rationale

Choice B is correct. It’s given that it takes the machine 10 minutes to make a large box. It's also given that x represents the possible number of large boxes the machine can make each day. Multiplying 10 by x gives 10x, which represents the amount of time spent making large boxes. It’s given that it takes the machine 5 minutes to make a small box. It's also given that y represents the possible number of small boxes the machine can make each day. Multiplying 5 by y gives 5y, which represents the amount of time spent making small boxes. Combining the amount of time spent making x large boxes and y small boxes yields 10x+5y. It’s given that the machine makes boxes for a total of 700 minutes each day. Therefore 10x+5y=700 represents the possible number of large boxes, x, and small boxes, y, the machine can make each day.

Choice A is incorrect and may result from associating the time of 10 minutes with small, rather than large, boxes and the time of 5 minutes with large, rather than small, boxes.

Choice C is incorrect and may result from conceptual errors.

Choice D is incorrect and may result from conceptual errors.

Math: Question 3

The scatterplot shows the relationship between two variables, x and y. A line of best fit is also shown.

  • The scatterplot has 10 data points.
  • The data points are in a linear pattern trending down from left to right.
  • A line of best fit is shown:
    • The line of best slants down from left to right.
    • 1 point is touching the line of best fit.
    • 4 points are above the line of best fit.
    • 5 points are below the line of best fit.
    • The line of best fit passes through the following approximate coordinates:
      • (2 comma 12)
      • (8 comma 7)
      • (13 comma 3)

Which of the following equations best represents the line of best fit shown?

  1. y=13.5+0.8x

  2. y=13.5-0.8x

  3. y=-13.5+0.8x

  4. y=-13.5-0.8x

Answer

You selected answer B. The correct answer is B.

Rationale

Choice B is correct. The line of best fit shown intersects the y-axis at a positive y-value and has a negative slope. The graph of an equation of the form y=a+bx, where a and b are constants, intersects the y-axis at a y-value of a and has a slope of b. Of the given choices, only choice B represents a line that intersects the y-axis at a positive y-value, 13.5, and has a negative slope, -0.8.

Choice A is incorrect. This equation represents a line that has a positive slope, not a negative slope.

Choice C is incorrect. This equation represents a line that intersects the y-axis at a negative y-value, not a positive y-value, and has a positive slope, not a negative slope.

Choice D is incorrect. This equation represents a line that intersects the y-axis at a negative y-value, not a positive y-value.

Math: Question 4

  • The line slants gradually down from left to right.
  • The line passes through the following points:
    • (0 comma 7)
    • (8 comma 0)

The point with coordinates (d,4) lies on the line shown. What is the value of d?

  1. 72

  2. 267

  3. 247

  4. 278

Answer

You selected answer B. The correct answer is C.

Rationale

Choice C is correct. It's given from the graph that the points 0,7 and 8,0 lie on the line. For two points on a line, x1,y1 and x2,y2, the slope of the line can be calculated using the slope formula m=y2-y1x2-x1. Substituting 0,7 for x1,y1 and 8,0 for x2,y2 in this formula, the slope of the line can be calculated as m=0-78-0, or m=-78. It's also given that the point d,4 lies on the line. Substituting d,4 for x1,y1, 8,0 for x2,y2, and -78 for m in the slope formula yields -78=0-48-d, or -78=-48-d. Multiplying both sides of this equation by 8-d yields -788-d=-4. Expanding the left-hand side of this equation yields -7+78d=-4. Adding 7 to both sides of this equation yields 78d=3. Multiplying both sides of this equation by 87 yields d=247. Thus, the value of d is 247.

Choice A is incorrect. This is the value of y when x=4.

Choice B is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from conceptual or calculation errors.

Math: Question 5

x fx
-1 10
0 14
1 20

For the quadratic function f, the table shows three values of x and their corresponding values of fx. Which equation defines f?

  1. fx=3x2+3x+14

  2. fx=5x2+x+14

  3. fx=9x2-x+14

  4. fx=x2+5x+14

Answer

You selected answer B. The correct answer is D.

Rationale

Choice D is correct. The equation of a quadratic function can be written in the form fx=ax-h2+k, where a, h, and k are constants. It’s given in the table that when x=-1, the corresponding value of fx is 10. Substituting -1 for x and 10 for fx in the equation fx=ax-h2+k gives 10=a-1-h2+k, which is equivalent to 10=a1+2h+h2+k, or 10=a+2ah+ah2+k. It’s given in the table that when x=0, the corresponding value of fx is 14. Substituting 0 for x and 14 for fx in the equation fx=ax-h2+k gives 14=a0-h2+k, or 14=ah2+k. It’s given in the table that when x=1, the corresponding value of fx is 20. Substituting 1 for x and 20 for fx in the equation fx=ax-h2+k gives 20=a1-h2+k, which is equivalent to 20=a1-2h+h2+k, or 20=a-2ah+ah2+k. Adding 20=a-2ah+ah2+k to the equation 10=a+2ah+ah2+k gives 30=2a+2ah2+2k. Dividing both sides of this equation by 2 gives 15=a+ah2+k. Since 14=ah2+k, substituting 14 for ah2+k  into the equation 15=a+ah2+k gives 15=a+14. Subtracting 14 from both sides of this equation gives a=1. Substituting 1 for a in the equations 14=ah2+k and 20=ah2-2ah+a+k gives 14=h2+k and 20=1-2h+h2+k, respectively. Since 14=h2+k, substituting 14 for h2+k in the equation 20=1-2h+h2+k gives 20=1-2h+14, or 20=15-2h. Subtracting 15 from both sides of this equation gives 5=-2h. Dividing both sides of this equation by -2 gives -52=h. Substituting -52 for h into the equation 14=h2+k gives 14=-522+k, or 14=254+k. Subtracting 254 from both sides of this equation gives 314=k. Substituting 1 for a-52 for h, and 314 for k in the equation fx=ax-h2+k gives fx=x+522+314, which is equivalent to fx=x2+5x+254+314, or fx=x2+5x+14. Therefore, fx=x2+5x+14 defines f.

Choice A is incorrect. If fx=3x2+3x+14, then when x=-1, the corresponding value of fx is 14, not 10.

Choice B is incorrect. If fx=5x2+x+14, then when x=-1, the corresponding value of fx is 18, not 10.

Choice C is incorrect. If fx=9x2-x+14, then when x=-1, the corresponding value of fx is 24, not 10, and when x=1, the corresponding value of fx is 22, not 20.

Math: Question 6

The function f is defined by fx=x+155, and fa=10, where a is a constant. What is the value of a?

  1. 5

  2. 10

  3. 35

  4. 65

Answer

You selected answer B. The correct answer is C.

Rationale

Choice C is correct. It's given that fx=x+155 and fa=10, where a is a constant. Therefore, for the given function f, when x=afx=10. Substituting a for x and 10 for fx in the given function f yields 10=a+155. Multiplying both sides of this equation by 5 yields 50=a+15. Subtracting 15 from both sides of this equation yields 35=a. Therefore, the value of a is 35.

Choice A is incorrect. This is the value of a if fa=4.

Choice B is incorrect. This is the value of a if fa=5.

Choice D is incorrect. This is the value of a if fa=16.

Math: Question 7

  • Clockwise from top left, the 3 lines are labeled t, m, and n.
  • Line t intersects both line m and line n.
  • At the intersection of line t and line m, 2 angles are labeled clockwise from top left as follows:
    • Top right: x°
    • Bottom left: y°
  • At the intersection of line t and line n, 1 angle is labeled clockwise from top left as follows:
    • Top left: z°
  • A note indicates the figure is not drawn to scale.

In the figure, lines m and n are parallel. If x=6k+13 and y=8k-29, what is the value of z?

  1. 3

  2. 21

  3. 41

  4. 139

Answer

You selected answer C. The correct answer is C.

Rationale

Choice C is correct. Vertical angles, which are angles that are opposite each other when two lines intersect, are congruent. The figure shows that lines t and m intersect. It follows that the angle with measure x° and the angle with measure y° are vertical angles, so x=y. It's given that x=6k+13 and y=8k-29. Substituting 6k+13 for x and 8k-29 for y in the equation x=y yields 6k+13=8k-29. Subtracting 6k from both sides of this equation yields 13=2k-29. Adding 29 to both sides of this equation yields 42=2k, or 2k=42. Dividing both sides of this equation by 2 yields k=21. It's given that lines m and n are parallel, and the figure shows that lines m and n are intersected by a transversal, line t. If two parallel lines are intersected by a transversal, then the same-side interior angles are supplementary. It follows that the same-side interior angles with measures y° and z° are supplementary, so y+z=180. Substituting 8k-29 for y in this equation yields 8k-29+z=180. Substituting 21 for k in this equation yields 821-29+z=180, or 139+z=180. Subtracting 139 from both sides of this equation yields z=41. Therefore, the value of z is 41.

Choice A is incorrect and may result from conceptual or calculation errors.

Choice B is incorrect. This is the value of k, not z.

Choice D is incorrect. This is the value of x or y, not z.

Math: Question 8

Line p is defined by 2y+18x=9. Line r is perpendicular to line p in the xy-plane. What is the slope of line r?

  1. -9

  2. -19

  3. 19

  4. 9

Answer

You selected answer C. The correct answer is C.

Rationale

Choice C is correct. It’s given that line r is perpendicular to line p in the xy-plane. This means that the slope of line r is the negative reciprocal of the slope of line p. If the equation for line p is rewritten in slope-intercept form y=mx+b, where m and b are constants, then m is the slope of the line and 0,b is its y-intercept. Subtracting 18x from both sides of the equation 2y+18x=9 yields 2y=-18x+9. Dividing both sides of this equation by 2 yields y=-9x+92. It follows that the slope of line p is -9. The negative reciprocal of a number is -1 divided by the number. Therefore, the negative reciprocal of -9 is -1-9, or 19. Thus, the slope of line r is 19.

Choice A is incorrect. This is the slope of line p, not line r.

Choice B is incorrect. This is the reciprocal, not the negative reciprocal, of the slope of line p.

Choice D is incorrect. This is the negative, not the negative reciprocal, of the slope of line p.

Math: Question 9

A sample of oak has a density of 807 kilograms per cubic meter. The sample is in the shape of a cube, where each edge has a length of 0.90 meters. To the nearest whole number, what is the mass, in kilograms, of this sample? 

  1. 588

  2. 726

  3. 897

  4. 1,107

Answer

You selected answer A. The correct answer is A.

Rationale

Choice A is correct. It’s given that the sample is in the shape of a cube with edge lengths of 0.9 meters. Therefore, the volume of the sample is 0.903, or 0.729, cubic meters. It’s also given that the sample has a density of 807 kilograms per 1 cubic meter. Therefore, the mass of this sample is 0.729 cubic meters807 kilograms1 cubic meter, or 588.303 kilograms. Rounding this mass to the nearest whole number gives 588 kilograms. Therefore, to the nearest whole number, the mass, in kilograms, of this sample is 588.

Choice B is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from conceptual or calculation errors.

Math: Question 10

Pt=2901.0446t

The function P models the population, in thousands, of a certain city t years after 2005. According to the model, the population is predicted to increase by n% every 18 months. What is the value of n?

  1. 0.38

  2. 1.04

  3. 4

  4. 6

Answer

You selected answer B. The correct answer is C.

Rationale

Choice C is correct. It's given that the function P models the population of the city t years after 2005. Since there are 12 months in a year, 18 months is equivalent to 1812 years. Therefore, the expression 1812x can represent the number of years in x 18-month periods. Substituting 1812x for t in the given equation yields P1812x=2901.04461812x, which is equivalent to P1812x=2901.04x. Therefore, for each 18-month period, the predicted population of the city is 1.04 times, or 104% of, the previous population. This means that the population is predicted to increase by 4% every 18 months.

Choice A is incorrect and may result from conceptual or calculation errors. 

Choice B is incorrect. Each year, the predicted population of the city is 1.04 times the previous year's predicted population, which is not the same as an increase of 1.04%.

Choice D is incorrect and may result from conceptual or calculation errors.

Math: Question 11

2kx-n=-2815x-3619

In the given equation, k and n are constants and n>1. The equation has no solution. What is the value of k?

Answer

-.9333,-14/15

You answered 2. The correct answer is -.9333,-14/15.

Rationale

The correct answer is -1415. A linear equation in the form ax+b=cx+d has no solution only when the coefficients of x on each side of the equation are equal and the constant terms are not equal. Dividing both sides of the given equation by 2 yields kx-n=-2830x-3638, or kx-n=-1415x-1819. Since it’s given that the equation has no solution, the coefficient of x on both sides of this equation must be equal, and the constant terms on both sides of this equation must not be equal. Since 1819<1, and it's given that n>1, the second condition is true. Thus, k must be equal to -1415. Note that -14/15, -.9333, and -0.933 are examples of ways to enter a correct answer.

Math: Question 12

A gift shop buys souvenirs at a wholesale price of 7.00 dollars each and resells them each at a retail price that is 290% of the wholesale price. At the end of the season, any remaining souvenirs are marked at a discounted price that is 80% off the retail price. What is the discounted price of each remaining souvenir, in dollars?

Answer

203/50, 4.06

You answered 4.06. The correct answer is 203/50, 4.06.

Rationale

The correct answer is 4.06. It's given that the retail price is 290% of the wholesale price of $7.00. Thus, the retail price is $7.00290100, which is equivalent to $7.002.9, or $20.30. It's also given that the discounted price is 80% off the retail price. Thus, the discounted price is $20.301-80100, which is equivalent to $20.300.20, or $4.06.

Math: Question 13

x2-34x+c=0

In the given equation, c is a constant. The equation has no real solutions if c>n. What is the least possible value of n?

Answer

289

You answered 0. The correct answer is 289.

Rationale

The correct answer is 289. A quadratic equation of the form ax2+bx+c=0, where a, b, and c are constants, has no real solutions when the value of the discriminant, b2-4ac, is less than 0. In the given equation, x2-34x+c=0, a=1 and b=-34. Therefore, the discriminant of the given equation can be expressed as -342-41c, or 1,156-4c. It follows that the given equation has no real solutions when 1,156-4c<0. Adding 4c to both sides of this inequality yields 1,156<4c. Dividing both sides of this inequality by 4 yields 289<c, or c>289. It's given that the equation x2-34x+c=0 has no real solutions when c>n. Therefore, the least possible value of n is 289.

Math: Question 14

Data set A consists of the heights of 75 buildings and has a mean of 32 meters. Data set B consists of the heights of 50 buildings and has a mean of 62 meters. Data set C consists of the heights of the 125 buildings from data sets A and B. What is the mean, in meters, of data set C?

Answer

44

You answered 44. The correct answer is 44.

Rationale

The correct answer is 44. The mean of a data set is computed by dividing the sum of the values in the data set by the number of values in the data set. It's given that data set A consists of the heights of 75 buildings and has a mean of 32 meters. This can be represented by the equation x75=32, where x represents the sum of the heights of the buildings, in meters, in data set A. Multiplying both sides of this equation by 75 yields x=7532, or x=2,400 meters. Therefore, the sum of the heights of the buildings in data set A is 2,400 meters. It's also given that data set B consists of the heights of 50 buildings and has a mean of 62 meters. This can be represented by the equation y50=62, where y represents the sum of the heights of the buildings, in meters, in data set B. Multiplying both sides of this equation by 50 yields y=5062, or y=3,100 meters. Therefore, the sum of the heights of the buildings in data set B is 3,100 meters. Since it's given that data set C consists of the heights of the 125 buildings from data sets A and B, it follows that the mean of data set C is the sum of the heights of the buildings, in meters, in data sets A and B divided by the number of buildings represented in data sets A and B, or 2,400+3,100125, which is equivalent to 44 meters. Therefore, the mean, in meters, of data set C is 44.

Math: Question 15

The expression 4x2+bx-45, where b is a constant, can be rewritten as hx+kx+j, where h, k, and j are integer constants. Which of the following must be an integer?

  1. bh

  2. bk

  3. 45h

  4. 45k

Answer

You omitted this question. The correct answer is D.

Rationale

Choice D is correct. It's given that 4x2+bx-45 can be rewritten as hx+kx+j. The expression hx+kx+j can be rewritten as hx2+jhx+kx+kj, or hx2+jh+kx+kj. Therefore, hx2+jh+kx+kj is equivalent to 4x2+bx-45. It follows that kj=-45. Dividing each side of this equation by k yields j=-45k. Since j is an integer, -45k must be an integer. Therefore, 45k must also be an integer.

Choice A is incorrect and may result from conceptual or calculation errors.

Choice B is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.

Math: Question 16

y=-1.5

y=x2+8x+a

In the given system of equations, a is a positive constant. The system has exactly one distinct real solution. What is the value of a?

Answer

14.5, 29/2

You omitted this question. The correct answer is 14.5, 29/2.

Rationale

The correct answer is 292. According to the first equation in the given system, the value of y is -1.5. Substituting -1.5 for y in the second equation in the given system yields -1.5=x2+8x+a. Adding 1.5 to both sides of this equation yields 0=x2+8x+a+1.5. If the given system has exactly one distinct real solution, it follows that 0=x2+8x+a+1.5 has exactly one distinct real solution. A quadratic equation in the form 0=px2+qx+r, where p, q, and r are constants, has exactly one distinct real solution if and only if the discriminant, q2-4pr, is equal to 0. The equation 0=x2+8x+a+1.5 is in this form, where p=1, q=8, and r=a+1.5. Therefore, the discriminant of the equation 0=x2+8x+a+1.5 is 82-41a+1.5, or 58-4a. Setting the discriminant equal to 0 to solve for a yields 58-4a=0. Adding 4a to both sides of this equation yields 58=4a. Dividing both sides of this equation by 4 yields 584=a, or 292=a. Therefore, if the given system of equations has exactly one distinct real solution, the value of a is 292. Note that 29/2 and 14.5 are examples of ways to enter a correct answer.

Math: Question 17

  • The data for the dot plot are as follows:
    • 22: 5 dots
    • 23: 4 dots
    • 24: 3 dots
    • 25: 2 dots
    • 26: 1 dot

The dot plot represents the 15 values in data set A. Data set B is created by adding 56 to each of the values in data set A. Which of the following correctly compares the medians and the ranges of data sets A and B?

  1. The median of data set B is equal to the median of data set A, and the range of data set B is equal to the range of data set A.

  2. The median of data set B is equal to the median of data set A, and the range of data set B is greater than the range of data set A.

  3. The median of data set B is greater than the median of data set A, and the range of data set B is equal to the range of data set A.

  4. The median of data set B is greater than the median of data set A, and the range of data set B is greater than the range of data set A.

Answer

You selected answer C. The correct answer is C.

Rationale

Choice C is correct. The median of a data set with an odd number of values, in ascending or descending order, is the middle value of the data set, and the range of a data set is the positive difference between the maximum and minimum values in the data set. Since the dot plot shown gives the values in data set A in ascending order and there are 15 values in the data set, the eighth value in data set A, 23, is the median. The maximum value in data set A is 26 and the minimum value is 22, so the range of data set A is 26-22, or 4. It’s given that data set B is created by adding 56 to each of the values in data set A. Increasing each of the 15 values in data set A by 56 will also increase its median value by 56, making the median of data set B 79. Increasing each value of data set A by 56 does not change the range, since the maximum value of data set B is 26+56, or 82, and the minimum value is 22+56, or 78, making the range of data set B 82-78, or 4. Therefore, the median of data set B is greater than the median of data set A, and the range of data set B is equal to the range of data set A.

Choice A is incorrect and may result from conceptual or calculation errors.

Choice B is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from conceptual or calculation errors.

Math: Question 18

  • Moving from left to right:
    • The curve is in quadrant 3.
    • The curve trends down sharply.
  • As x increases, the curve approaches the line x equals negative 4.
  • As x decreases, the curve approaches the line y equals 0.
  • The curve passes through the following points:
    • (negative 7 comma negative 2)
    • (negative 6 comma negative 3)
    • (negative 5 comma negative 6)

The rational function f is defined by an equation in the form fx=ax+b, where a and b are constants. The partial graph of y=fx is shown. If  gx=fx+4, which equation could define function g?

  1. gx=6x

  2. gx=6x+4

  3. gx=6x+8

  4. gx=6(x+4)x+4

Answer

You selected answer B. The correct answer is C.

Rationale

Choice C is correct. It's given that fx=ax+b and that the graph shown is a partial graph of y=fx. Substituting y for fx in the equation fx=ax+b yields y=ax+b. The graph passes through the point -7,-2. Substituting -7 for x and -2 for y in the equation y=ax+b yields -2=a-7+b. Multiplying each side of this equation by -7+b yields -2-7+b=a, or 14-2b=a. The graph also passes through the point -5,-6. Substituting -5 for x and -6 for y in the equation y=ax+b yields -6=a-5+b. Multiplying each side of this equation by -5+b yields -6-5+b=a, or 30-6b=a. Substituting 14-2b for a in this equation yields 30-6b=14-2b. Adding 6b to each side of this equation yields 30=14+4b. Subtracting 14 from each side of this equation yields 16=4b. Dividing each side of this equation by 4 yields 4=b. Substituting 4 for b in the equation 14-2b=a yields 14-24=a, or 6=a. Substituting 6 for a and 4 for b in the equation fx=ax+b yields fx=6x+4. It's given that gx=fx+4. Substituting x+4 for x in the equation fx=6x+4 yields fx+4=6x+4+4, which is equivalent to fx+4=6x+8. It follows that gx=6x+8.

Choice A is incorrect. This could define function g if gx=fx-4.

Choice B is incorrect. This could define function g if gx=fx.

Choice D is incorrect. This could define function g if gx=fx·x+4.

Math: Question 19

57x2+(57b+a)x+ab=0

In the given equation, a and b are positive constants. The product of the solutions to the given equation is kab, where k is a constant. What is the value of k?

  1. 157

  2. 119

  3. 1

  4. 57

Answer

You selected answer B. The correct answer is A.

Rationale

Choice A is correct. The left-hand side of the given equation is the expression 57x2+57b+ax+ab. Applying the distributive property to this expression yields 57x2+57bx+ax+ab. Since the first two terms of this expression have a common factor of 57x and the last two terms of this expression have a common factor of a, this expression can be rewritten as 57xx+b+ax+b. Since the two terms of this expression have a common factor of x+b, it can be rewritten as x+b57x+a. Therefore, the given equation can be rewritten as x+b57x+a=0. By the zero product property, it follows that x+b=0 or 57x+a=0. Subtracting b from both sides of the equation x+b=0 yields x=-b. Subtracting a from both sides of the equation 57x+a=0 yields 57x=-a. Dividing both sides of this equation by 57 yields x=-a57. Therefore, the solutions to the given equation are -b and -a57. It follows that the product of the solutions of the given equation is -b-a57, or ab57. It’s given that the product of the solutions of the given equation is kab. It follows that ab57=kab, which can also be written as ab157=abk. It’s given that a and b are positive constants. Therefore, dividing both sides of the equation ab157=abk by ab yields 157=k. Thus, the value of k is 157.

Choice B is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from conceptual or calculation errors.

Math: Question 20

The graph of x2+x+y2+y=1992 in the xy-plane is a circle. What is the length of the circle’s radius?

Answer

10

You omitted this question. The correct answer is 10.

Rationale

The correct answer is 10. It's given that the graph of x2+x+y2+y=1992 in the xy-plane is a circle. The equation of a circle in the xy-plane can be written in the form x-h2+y-k2=r2, where the coordinates of the center of the circle are h,k and the length of the radius of the circle is r. The term x-h2 in this equation can be obtained by adding the square of half the coefficient of x to both sides of the given equation to complete the square. The coefficient of x is 1. Half the coefficient of x is 12. The square of half the coefficient of x is 14. Adding 14 to each side of x2+x+y2+y=1992 yields x2+x+14+y2+y=1992+14, or x+122+y2+y=1992+14. Similarly, the term y-k2 can be obtained by adding the square of half the coefficient of y to both sides of this equation, which yields x+122+y2+y+14=1992+14+14, or x+122+y+122=1992+14+14. This equation is equivalent to x+122+y+122=100, or x+122+y+122=102. Therefore, the length of the circle's radius is 10.

Math: Question 21

Two identical rectangular prisms each have a height of 90 centimeters cm. The base of each prism is a square, and the surface area of each prism is K cm2. If the prisms are glued together along a square base, the resulting prism has a surface area of 9247K cm2. What is the side length, in cm, of each square base?

  1. 4

  2. 8

  3. 9

  4. 16

Answer

You selected answer B. The correct answer is B.

Rationale

Choice B is correct. Let x represent the side length, in cm, of each square base. If the two prisms are glued together along a square base, the resulting prism has a surface area equal to twice the surface area of one of the prisms, minus the area of the two square bases that are being glued together, which yields 2K-2x2 cm2 . It’s given that this resulting surface area is equal to 9247K cm2, so 2K-2x2=9247K. Subtracting 9247K from both sides of this equation yields 2K-9247K-2x2=0. This equation can be rewritten by multiplying 2K on the left-hand side by 4747, which yields 9447K-9247K-2x2=0, or 247K-2x2=0. Adding 2x2 to both sides of this equation yields 247K=2x2. Multiplying both sides of this equation by 472 yields K=47x2. The surface area K, in cm2, of each rectangular prism is equivalent to the sum of the areas of the two square bases and the areas of the four lateral faces. Since the height of each rectangular prism is 90 cm and the side length of each square base is x cm, it follows that the area of each square base is x2 cm2 and the area of each lateral face is 90x cm2. Therefore, the surface area of each rectangular prism can be represented by the expression 2x2+490x, or 2x2+360x. Substituting this expression for K in the equation K=47x2 yields 2x2+360x=47x2. Subtracting 2x2 and 360x from both sides of this equation yields 0=45x2-360x. Factoring x from the right-hand side of this equation yields 0=x45x-360. Applying the zero product property, it follows that x=0 and 45x-360=0. Adding 360 to both sides of the equation 45x-360=0 yields 45x=360. Dividing both sides of this equation by 45 yields x=8. Since a side length of a rectangular prism can’t be 0, the length of each square base is 8 cm.

Choice A is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from conceptual or calculation errors.

Math: Question 22

In the xy-plane, a parabola has vertex (9,-14) and intersects the x-axis at two points. If the equation of the parabola is written in the form y=ax2+bx+c, where a, b, and c are constants, which of the following could be the value of a+b+c?

  1. -23

  2. -19

  3. -14

  4. -12

Answer

You selected answer C. The correct answer is D.

Rationale

Choice D is correct. The equation of a parabola in the xy-plane can be written in the form y=ax-h2+k, where a is a constant and h,k is the vertex of the parabola. If a is positive, the parabola will open upward, and if a is negative, the parabola will open downward. It’s given that the parabola has vertex 9,-14. Substituting 9 for h and -14 for k in the equation y=ax-h2+k gives y=ax-92-14, which can be rewritten as y=ax-9x-9-14, or y=ax2-18x+81-14. Distributing the factor of a on the right-hand side of this equation yields y=ax2-18ax+81a-14. Therefore, the equation of the parabola, y=ax2-18ax+81a-14, can be written in the form y=ax2+bx+c, where a=a, b=-18a, and c=81a-14. Substituting -18a for b and 81a-14 for c in the expression a+b+c yields a+-18a+81a-14, or 64a-14. Since the vertex of the parabola, 9,-14, is below the x-axis, and it’s given that the parabola intersects the x-axis at two points, the parabola must open upward. Therefore, the constant a must have a positive value. Setting the expression 64a-14 equal to the value in choice D yields 64a-14=-12. Adding 14 to both sides of this equation yields 64a=2. Dividing both sides of this equation by 64 yields a=264, which is a positive value. Therefore, if the equation of the parabola is written in the form y=ax2+bx+c, where a, b, and c are constants, the value of a+b+c could be -12.

Choice A is incorrect. If the equation of a parabola with a vertex at 9,-14 is written in the form y=ax2+bx+c, where a, b, and c are constants and a+b+c=-23, then the value of a will be negative, which means the parabola will open downward, not upward, and will intersect the x-axis at zero points, not two points. 

Choice B is incorrect. If the equation of a parabola with a vertex at 9,-14 is written in the form y=ax2+bx+c, where a, b, and c are constants and a+b+c=-19, then the value of a will be negative, which means the parabola will open downward, not upward, and will intersect the x-axis at zero points, not two points.

Choice C is incorrect. If the equation of a parabola with a vertex at 9,-14 is written in the form y=ax2+bx+c, where a, b, and c are constants and a+b+c=-14, then the value of a will be 0, which is inconsistent with the equation of a parabola.