SAT (new)

As Mexico’s first president from an Indigenous community, Benito Juarez became one of the most ______ figures in his country’s history: among the many significant accomplishments of his long tenure in office (1858–1872), Juarez consolidated the authority of the national government and advanced the rights of Indigenous peoples.

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

Due to their often strange images, highly experimental syntax, and opaque subject matter, many of John Ashbery’s poems can be quite difficult to blank and thus are the object of heated debate among scholars.

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

The Cambrian explosion gets its name from the sudden appearance and rapid diversification of animal remains in the fossil record about 541 million years ago, during the Cambrian period. Some scientists argue that this ______ change in the fossil record might be because of a shift in many organisms to body types that were more likely to be preserved.

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

During a 2014 archaeological dig in Spain, Vicente Lull and his team uncovered the skeleton of a woman from El Algar, an Early Bronze Age society, buried with valuable objects signaling a high position of power. This finding may persuade researchers who have argued that Bronze Age societies were ruled by men to ______ that women may have also held leadership roles.

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

Within baleen whale species, some individuals develop an accessory spleen—a seemingly functionless formation of splenetic tissue outside the normal spleen. Given the formation’s greater prevalence among whales known to make deeper dives, some researchers hypothesize that its role isn’t ______; rather, the accessory spleen may actively support diving mechanisms.

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

According to a US tax policy expert, state taxes are______ other factors when considering an interstate move. Even significant differences in state taxation have almost no effect on most people’s decisions, while differences in employment opportunities, housing availability, and climate are strong influences.

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

The author’s claim about the relationship between Neanderthals and Homo sapiens is ______, as it fails to account for several recent archaeological discoveries. To be convincing, his argument would need to address recent finds of additional hominid fossils, such as the latest Denisovan specimens and Homo longi.

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

The following text is from Georgia Douglas Johnson’s 1922 poem “Benediction.”

Go forth, my son,
Winged by my heart’s desire!
Great reaches, yet unknown,
Await
For your possession.
I may not, if I would,
Retrace the way with you,
My pilgrimage is through,
But life is calling you!

Which choice best states the main purpose of the text?

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?

Text 1
Ecologists have long wondered how thousands ofmicroscopic phytoplankton species can live together near ocean surfaces competing for the sameresources. According to conventional wisdom, one species should emerge after outcompeting the rest. So why do so many species remain? Ecologists’ many efforts to explain this phenomenon still haven’t uncovered a satisfactory explanation.
Text 2
Ecologist Michael Behrenfeld and colleagues have connected phytoplankton’s diversity to their
microscopic size. Because these organisms are so tiny, they are spaced relatively far apart from each
other in ocean water and, moreover, experience that water as a relatively dense substance. This in turn makes it hard for them to move around and interact with one another. Therefore, says Behrenfeld’s team, direct competition among phytoplankton probably happens much less than previously thought.

Based on the texts, how would Behrenfeld and colleagues (Text 2) most likely respond to the “conventional wisdom” discussed in Text 1?

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?

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?

In 1934 physicist Eugene Wigner posited the existence of a crystal consisting entirely of electrons in a honeycomb-like structure. The so-called Wigner crystal remained largely conjecture, however, until Feng Wang and colleagues announced in 2021 that they had captured an image of one. The researchers trapped electrons between two semiconductors and then cooled the apparatus, causing the electrons to settle into a crystalline structure. By inserting an ultrathin sheet of graphene above the crystal, the researchers obtained an impression—the first visual confirmation of the Wigner crystal.

Which choice best states the main idea of the text?

Average Number oflndividuals Reporting Directly to CEOs

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?

When digging for clams, their primary food, sea otters damage the roots of eelgrass plants growing on the seafloor. Near Vancouver Island in Canada, the otter population is large and well established, yet the eelgrass meadows are healthier than those found elsewhere off Canada’s coast. To explain this, conservation scientist Erin Foster and colleagues compared the Vancouver Island meadows to meadows where otters are absent or were reintroduced only recently. Finding that the Vancouver Island meadows have a more diverse gene pool than the others do, Foster hypothesized that damage to eelgrass roots increases the plant’s rate of sexual reproduction; this, in turn, boosts genetic diversity, which benefits the meadow’s health overall.

Which finding, if true, would most directly undermine Foster’s hypothesis?

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 ______

Which choice most logically completes the text?

Among social animals that care for their young, such as chickens, macaque monkeys, and humans, newborns appear to show an innate attraction to faces and face-like stimuli. Elisabetta Versace and her colleagues used an image of three black dots arranged in the shape of eyes and a nose or mouth to test whether this trait also occurs in Testudo tortoises, which live alone and do not engage in parental care. They found that tortoise hatchlings showed a significant preference for the image, suggesting that ______

Which choice most logically completes the text?

Formed in 1967 to foster political and economic stability within the Asia-Pacific region, the Association of Southeast Asian Nations was originally made up of five members: Thailand, the Philippines, Singapore, Malaysia, and Indonesia. By the end of the 1990s, the organization ______ its initial membership.

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

To survive when water is scarce, embryos inside African turquoise killifish eggs ______ a dormant state known as diapause. In this state, embryonic development is paused for as long as two years—longer than the life span of an adult killifish.

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

Food and the sensation of taste are central to Monique Truong’s novels. In The Book of Salt, for example, the exiled character of Bình connects to his native Saigon through the food he prepares, while in Bitter in the Mouth, the character of Linda ______ a form of synesthesia whereby the words she hears evoke tastes.

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

Inventor John Friedman created a prototype of the first flexible straw by inserting a screw into a paper straw and, using dental floss, binding the straw tightly around the ______ When the floss and screw were removed, the resulting corrugations in the paper allowed the straw to bend easily over the edge of a glass.

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

In her analysis of Edith Wharton’s The House of Mirth (1905), scholar Candace Waid observes that the novel depicts the upper classes of New York society as “consumed by the appetite of a soulless ______ an apt assessment given that The House of Mirth is set during the Gilded Age, a period marked by rapid industrialization, economic greed, and widening wealth disparities.

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

To humans, it does not appear that the golden orb-weaver spider uses camouflage to capture its ______ 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?

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

• NASA uses rovers, large remote vehicles with wheels, to explore the surface of Mars.
• NASA’s rovers can’t explore regions inaccessible to wheeled vehicles.
• Rovers are also heavy, making them difficult to land on the planet’s surface.
• Microprobes, robotic probes that weigh as little as 50 milligrams, could be deployed virtually anywhere on the surface of Mars.
• Microprobes have been proposed as an alternative to rovers.

The student wants to explain an advantage of microprobes. Which choice most effectively uses relevant information from the notes to accomplish this goal?

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

• Ulaanbaatar is the capital of Mongolia.
• The city’s population is 907,802.
• Ulaanbaatar contains 31.98 percent of Mongolia’s population.
• Hanoi is the capital of Vietnam.
• The city’s population is 7,781,631.
• Hanoi contains 8.14 percent of Vietnam’s population.

Which choice most effectively uses information from the given sentences to emphasize the relative sizes of the two capitals’ populations?

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

• One of history’s greatest libraries was the House of Wisdom in Baghdad, Iraq.
• It was founded in the eighth century with the goal of preserving all the world’s knowledge.
• Scholars at the House of Wisdom collected ancient and contemporary texts from Greece, India, and elsewhere and translated them into Arabic.
• Writings included those of the Greek philosopher Aristotle and the Indian mathematician Aryabhata.
• The House of Wisdom used Chinese papermaking technology to create paper versions to be studied and shared.

The student wants to explain how the House of Wisdom preserved the world’s knowledge. Which choice most effectively uses relevant information from the notes to accomplish this goal?

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

• British musicians John Lennon and Paul McCartney shared writing credit for numerous Beatles songs.
• Many Lennon-McCartney songs were actually written by either Lennon or McCartney, not by both.
• The exact authorship of specific parts of many Beatles songs, such as the verse for “In My Life,” is disputed.
• Mark Glickman, Jason Brown, and Ryan Song used statistical methods to analyze the musical content of Beatles songs.
• They concluded that there is 18.9% probability that McCartney wrote the verse for “In My Life,” stating that the verse is “consistent with Lennon’s songwriting style.”

The student wants to make a generalization about the kind of study conducted by Glickman, Brown, and Song. Which choice most effectively uses relevant information from the notes to accomplish this goal?

The Mule Bone, a 1930 play written by Zora Neale Hurston and Langston Hughes, is perhaps the best-known of the few examples of ______ in literature. Most writers prefer working alone, and given that working together cost Hurston and Hughes their friendship, it is not hard to see why.

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

The process of mechanically recycling plastics is often considered ______ because of the environmental impact and the loss of material quality that often occurs. But chemist Takunda Chazovachii has helped develop a cleaner process of chemical recycling that converts superabsorbent polymers from diapers into a desirable reusable adhesive.

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

Interruptions in the supply chain for microchips used in personal electronics have challenged an economist’s assertion that retailers can expect robust growth in sales of those devices in the coming months. The delays are unlikely to ______ her projection entirely but will almost certainly extend its time frame.

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

For her 2021 art installation Anthem, Wu Tsang joined forces with singer and composer Beverly Glenn-Copeland to produce a piece that critics found truly ______: they praised Tsang for creatively transforming a museum rotunda into a dynamic exhibit by projecting filmed images of Glenn-Copeland onto a massive 84-foot curtain and filling the space with the sounds of his and other voices singing.

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

Some scientists have suggested that mammals in the Mesozoic era were not a very ______ group, but paleontologist Zhe-Xi Luo’s research suggests that early mammals living in the shadow of dinosaurs weren’t all ground-dwelling insectivores. Fossils of various plant-eating mammals have been found in China, including species like Vilevolodon diplomylos, which Luo says could glide like a flying squirrel.

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

The following text is adapted from Gwendolyn Bennett’s 1926 poem “Street Lamps in Early Spring.”

Night wears a garment
All velvet soft, all violet blue...
And over her face she draws a veil
As shimmering fine as floating dew...
And here and there
In the black of her hair
The subtle hands of Night
Move slowly with their gem-starred light.

Which choice best describes the overall structure of the text?

According to historian Vicki L. Ruiz, Mexican American women made crucial contributions to the labor movement during World War II. At the time, food processing companies entered into contracts to supply United States armed forces with canned goods. Increased production quotas conferred greater bargaining power on the companies’ employees, many of whom were Mexican American women: employees insisted on more favorable benefits, and employers, who were anxious to fulfill the contracts, complied. Thus, labor activism became a platform for Mexican American women to assert their agency.

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

The following text is adapted from Zora Neale Hurston’s 1921 short story “John Redding Goes to Sea.” John is a child who lives in a town in the woods.
Perhaps ten-year-old John was puzzling to the
folk there in the Florida woods for he was an
imaginative child and fond of day-dreams. The
St. John River flowed a scarce three hundred feet
from his back door. On its banks at this point
grow numerous palms, luxuriant magnolias
and bay trees. On the bosom of the stream
float millions of delicately colored hyacinths.
[John Redding] loved to wander down to the
water’s edge, and, casting in dry twigs, watch
them sail away down stream to Jacksonville, the
sea, the wide world and [he] wanted to follow them.

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

The following text is adapted from Oscar Wilde’s 1891 novel The Picture of Dorian Gray. Dorian Gray is taking his first look at a portrait that Hallward has painted of him.

Dorian passed listlessly in front of his picture and turned towards it. When he saw it he drew back, and his cheeks flushed for a moment with pleasure. A look of joy came into his eyes, as if he had recognized himself for the first time. He stood there motionless and in wonder, dimly conscious that Hallward was speaking to him, but not catching the meaning of his words. The sense of his own beauty came on him like a revelation. He had never felt it before.

According to the text, what is true about Dorian?

Voters' Political Orientation, Level of Political Information, and Probability of Voting

Economists Kerwin Kofi Charles and Melvin Stephens Jr. investigated a variety of factors that influence voter turnout in the United States. Using survey data that revealed whether respondents voted in national elections and how knowledgeable respondents are about politics, Charles and Stephens claim that the likelihood of voting is driven in part by potential voters’ confidence in their assessments of candidates—essentially, the more informed voters are about politics, the more confident they are at evaluating whether candidates share their views, and thus the more likely they are to vote.

Which choice best describes data in the graph that support Charles and Stephens’s claim?

Spider Population Count

To investigate the effect of lizard predation on spider populations, a student in a biology class placed spiders in two enclosures, one with lizards and one without, and tracked the number of spiders in the enclosures for 30 days. The student concluded that the reduction in the spider population count in the enclosure with lizards by day 30 was entirely attributable to the presence of the lizards.

Which choice best describes data from the graph that weaken the student’s conclusion?

Archaeologist Petra Vaiglova, anthropologist Xinyi Liu, and their colleagues investigated the domestication of farm animals in China during the Bronze Age (approximately 2000 to 1000 BCE). By analyzing the chemical composition of the bones of sheep, goats, and cattle from this era, the team determined that wild plants made up the bulk of sheep’s and goats’ diets, while the cattle’s diet consisted largely of millet, a crop cultivated by humans. The team concluded that cattle were likely raised closer to human settlements, whereas sheep and goats were allowed to roam farther away.

Which finding, if true, would most strongly support the team’s conclusion?

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?

Researchers hypothesized that a decline in the population of dusky sharks near the mid-Atlantic coast of North America led to a decline in the population of eastern oysters in the region. Dusky sharks do not typically consume eastern oysters but do consume cownose rays, which are the main predators of the oysters.

Which finding, if true, would most directly support the researchers’ hypothesis?

Political scientists who favor the traditional view of voter behavior claim that voting in an election does not change a voter’s attitude toward the candidates in that election. Focusing on each US presidential election from 1976 to 1996, Ebonya Washington and Sendhil Mullainathan tested this claim by distinguishing between subjects who had just become old enough to vote (around half of whom actually voted) and otherwise similar subjects who were slightly too young to vote (and thus none of whom voted). Washington and Mullainathan compared the attitudes of the groups of subjects toward the winning candidate two years after each election.

Which finding from Washington and Mullainathan’s study, if true, would most directly weaken the claim made by people who favor the traditional view of voter behavior?

Power Conversion Efficiency of Lowest and Highest Performing Spin-coated and Spray-coated Electron Transport Layers

Perovskite solar cells convert light into electricity more efficiently than earlier kinds of solar cells, and manufacturing advances have recently made them commercially attractive. One limitation of the cells, however, has to do with their electron transport layer (ETL), through which absorbed electrons must pass. Often the ETL is applied through a process called spin coating, but such ETLs are fairly inefficient at converting input power to output power. André Taylor and colleagues tested a novel spray coating method for applying the ETL. The team produced ETLs of various thicknesses and concluded that spray coating holds promise for improving the power conversion efficiency of ETLs in perovskite solar cells.

Which choice best describes data from the graph that support Taylor and colleagues’ conclusion?

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?

For thousands of years, people in the Americas ______ the bottle gourd, a large bitter fruit with a thick rind, to make bottles, other types of containers, and even musical instruments. Oddly, there is no evidence that any type of bottle gourd is native to the Western Hemisphere; either the fruit or its seeds must have somehow been carried from Asia or Africa.

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

While many video game creators strive to make their graphics ever more ______ others look to the past, developing titles with visuals inspired by the “8-bit” games of the 1980s and 1990s. (The term “8-bit” refers to a console whose processor could only handle eight bits of data at once.)

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

In the 1950s, a man named Joseph McVicker was struggling to keep his business afloat when his sisterin-law Kay Zufall advised him to repurpose the company’s product, a nontoxic, clay-like substance for removing soot from wallpaper, as a modeling putty for kids. In addition, Zufall ______ selling the product under a child-friendly name: Play-Doh.

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

Beatrix Potter is perhaps best known for writing and illustrating children’s books such as The Tale of Peter Rabbit (1902), but she also dedicated herself to mycology, the study of ______ more than 350 paintings of the fungal species she observed in nature and submitting her research on spore germination to the Linnean Society of London.

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

In assessing the films of Japanese director Akira Kurosawa, ______ have missed his equally deep engagement with Japanese artistic traditions such as Noh theater.

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

Over twenty years ago, in a landmark experiment in the psychology of choice, professor Sheena Iyengar set up a jam-tasting booth at a grocery store. The number of jams available for tasting ______ some shoppers had twenty-four different options, others only six. Interestingly, the shoppers with fewer jams to choose from purchased more jam.

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

Chimamanda Ngozi Adichie’s 2013 novel Americanah chronicles the divergent experiences of Ifemelu and Obinze, a young Nigerian couple, after high school. Ifemelu moves to the United States to attend a prestigious university. ______ Obinze travels to London, hoping to start a career there. However, frustrated with the lack of opportunities, he soon returns to Nigeria.

Which choice completes the text with the most logical transition?

Organisms have evolved a number of surprising adaptations to ensure their survival in adverse conditions. Tadpole shrimp (Triops longicaudatus) embryos, ______ can pause development for over ten years during extended periods of drought.

Which choice completes the text with the most logical transition?

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

• The Philadelphia and Lancaster Turnpike was a road built between 1792 and 1794.
• It was the first private turnpike in the United States.
• It connected the cities of Philadelphia and Lancaster in the state of Pennsylvania.
• It was sixty-two miles long.

The student wants to emphasize the distance covered by the Philadelphia and Lancaster Turnpike. Which choice most effectively uses relevant information from the notes to accomplish this goal?

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

• Most, but not all, of the Moon’s oxygen comes from the Sun, via solar wind.
• Cosmochemist Kentaro Terada from Osaka University wondered if some of the unaccounted-for oxygen could be coming from Earth.
• In 2008, he analyzed data from the Japanese satellite Kaguya.
• Kaguya gathered data about gases and particles it encountered while orbiting the Moon.
• Based on the Kaguya data, Terada confirmed his suspicion that Earth is sending oxygen to the Moon.

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

The line graph shows the percent of cars for sale at a used car lot on a given day by model year.

For what model year is the percent of cars for sale the smallest?

For a particular machine that produces beads, 29 out of every 100 beads it produces have a defect. A bead produced by the machine will be selected at random.

What is the probability of selecting a bead that has a defect?

In the figure, line m is parallel to line n, and line t intersects both lines. What is the value of x ?

What is the y-intercept of the graph shown?

The total cost f(x), in dollars, to lease a car for 36 months from a particular car dealership is given by f(x) = 36x + 1,000, where x is the monthly payment, in dollars. What is the total cost to lease a car when the monthly payment is $400?

Each side of a square has a length of 45. What is the perimeter of this square?

What is the positive solution to the given equation?

An object travels at a constant speed of 12 centimeters per second. At this speed, what is the time, in seconds, that it would take for the object to travel 108 centimeters?

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?

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?

If 4 + x 2 = 12, what is the value of 16x + 8 ?

An object is kicked from a platform. The equation h= −4.9t² + 7t + 9 represents this situation, where h  is the height of the object above the ground, in meters, t seconds after it is kicked. Which number represents the height, in meters, from which the object was kicked?

f(x) = 4x² − 50x + 126

The given equation defines the function f. For what value of x does f(x) reach its minimum?

A small business owner budgets 2,200 USD to purchase candles. The owner must purchase a minimum of 200 candles to maintain the discounted pricing. If the owner pays 4.90 USD per candle to purchase small candles and 11.60 USD per candle to purchase large candles, what is the maximum number of large candles the owner can purchase to stay within the budget and maintain the discounted pricing?

In the linear function f, f(0) =8 and f (1) = 12.

Which equation defines f ?

The function f(w) = 6w² gives the area of a rectangle, in square feet (ft²), if its width is w ft and its length is 6 times its width. Which of the following is the best interpretation of f (14)  = 1,176 ?

The circle shown has center O, circumference 144π, and diameters PR and QS. The length of arc PS is twice the length of arc PQ. What is the length of arc QR ?

A company that provides whale-watching tours takes groups of 21 people at a time. The company’s revenue is 80 dollars per adult and 60 dollars per child. If the company’s revenue for one group consisting of adults and children was 1,440 dollars, how many people in the group were children?

The function h is defined by h(x) = 4x + 28. The graph of y = h(x) in the xy-plane has an x-intercept at (a, 0) and a y-intercept at (0, b), where a and b are constants. What is the value of a + b ?

One of the factors of 2x³ + 42x² + 208x is x + b, where b is a positive constant. What is the smallest possible value of b ?

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 ?

f(x) = (x + 6)(x + 5)(x − 4)

The function f is given. Which table of values represents y = f(x) −3 ?

For the function q, the value of q(x) decreases by 45% for every increase in the value of x by 1. If q(0) = 14 , which equation defines q ?

The graph of y = f(x) + 14 is shown. Which equation defines function f ?

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 tan W ?

One gallon of paint will cover 220 square feet of a surface. A room has a total wall area of w square feet. Which equation represents the total amount of paint P, in gallons, needed to paint the walls of the room twice?

The number a is 110% greater than the number b. The number b is 90% less than 47. What is the value of a ?

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?

Jay walks at a speed of 3 miles per hour and runs at a speed of 5 miles per hour. He walks for w hours and runs for r hours for a combined total of 14 miles.

Which equation represents this situation?

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

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

The graph of y = f(x)  is shown in the xy-plane.

What is the value of f(0) ?

Which expression is equivalent to (m⁴ q⁴ z^-1 )(mq⁵ z³ ), where m, q, and z are positive?

73, 74, 75, 77, 79, 82, 84, 85, 91

 What is the median of the data shown?

x + 40 = 95

What value of x is the solution to the given equation?

5x = 15

−4x + y = −2

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

g(m) = −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?

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

y = 76

y = x2 −5

The graphs of the given equations in the xy-plane intersect at the point ( , x y). What is a possible value of x ?

y > 14

4+ xy < 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 ?

Out of 300 seeds that were planted, 80% sprouted. How many of these seeds sprouted?

The function f is defined by f(x) = 4x. For what value of x does f(x) = 8 ?

Which expression is equivalent to

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 ?

f(t) = 8,000(0.65)^t

The given function f models the number of coupons a company sent to their customers at the end of each year, where t represents the number of years since the end of 1998, and
0 ≤ t ≤ 5. If y = f(t) is graphed in the ty-plane, which of the following is the best interpretation of the y-intercept of the graph in this context?

Triangle XYZ is similar to triangle RST such that X, Y, and Z correspond to R, S, and T, respectively. The measure of ∠Z is 20° and 2XY = RS. What is the measure of ∠T ?

y = 6x + 18

One of the equations in a system of two linear equations is given. The system has no solution.

Which equation could be the second equation in the system?

What is the area, in square centimeters, of a rectangle with a length of 34 centimeters (cm) and a width of 29 cm?

y = 4x + 1

4y = 15x − 8

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

5x² + 10x + 16 = 0

How many distinct real solutions does the given equation have?

A certain park has an area of 11,863,808 square yards. What is the area, in square miles, of this park? (1 mile = 1,760 yards)

Which of the following equations represents a circle in the xy-plane that intersects the y-axis at exactly one point?

In triangles ABC and DEF, angles B and E each have measure 27° and angles C and F each have measure 41°. Which additional piece of information is sufficient to determine whether triangle ABC is congruent to triangle DEF ?

Two data sets of 23 integers each are summarized in the histograms shown. For each of the histograms, the first interval represents the frequency of integers greater than or equal to 10, but less than 20. The second interval represents the frequency of integers greater than or equal to 20, but less than 30, and so on. What is the smallest possible difference between the mean of data set A and the mean of data set B?

A right triangle has legs with lengths of 24 centimeters and 21 centimeters. If the length of this triangle’s hypotenuse, in centimeters, can be written in the form 3 √d, where d is an integer, what is the value of d ?