Former astronaut Ellen Ochoa says that although she doesn’t have a definite idea of when it might happen, she        that humans will someday need to be able to live in other environments than those found on Earth. This conjecture informs her interest in future research missions to the moon.

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

Beginning in the 1950s, Navajo Nation legislator Annie Dodge Wauneka continuously worked to promote public health; this                                                              effort involved traveling throughout the vast Navajo homeland and writing a medical dictionary for speakers of Diné bizaad, the Navajo language.

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

Following the principles of community-based participatory research, tribal nations and research institutions are equal partners in health studies conducted on reservations. A collaboration between the Crow Tribe and Montana State University

                this model: tribal citizens worked alongside scientists to design the methodology and continue to assist in data collection.

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

The parasitic dodder plant increases its reproductive success by flowering at the same time as the host plant it has latched onto. In 2020, Jianqiang Wu and his colleagues determined that the tiny dodder achieves this         with its host by absorbing and utilizing a protein the host produces when it is about to flower.

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

Given that the conditions in binary star systems should make planetary formation nearly impossible, it’s not surprising that the existence of planets in such systems has lacked     explanation.

Roman Rafikov and Kedron Silsbee shed light on the subject when they used modeling to determine a complex set of factors that could support planets’ development.

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

Seminole/Muscogee director Sterlin Harjo                                             television’s tendency to situate Native characters in the distant past: this rejection is evident in his series Reservation Dogs, which revolves around teenagers who dress in contemporary styles and whose dialogue is laced with current slang.

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

In 2007, computer scientist Luis von Ahn was working on converting printed books into a digital format. He found that some words were distorted enough that digital scanners couldn’t recognize them, but most humans could easily read them.

Based on that finding, von Ahn invented a simple security test to keep automated “bots” out of websites. The first version of the reCAPTCHA test asked users to type one known word and one of the many words scanners couldn’t recognize. Correct answers proved the users were humans and added data to the book-digitizing project.

Which choice best states the main purpose of the text?

The following text is from Edith Wharton’s 1905 novel The House of Mirth. Lily Bart and a companion are walking through a park.

Lily had no real intimacy with nature, but she had a passion for the appropriate and could be keenly sensitive to a scene which was the fitting background of her own sensations. The landscape outspread below her seemed an enlargement of her present mood, and she found something of herself in its calmness, its breadth, its long free reaches. On the nearer slopes the sugar-maples wavered like pyres of light; lower down was a massing of grey orchards, and here and there the lingering green of an oak-grove.

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

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?

The following text is adapted from Edith Nesbit’s 1906 novel The Railway Children.

Mother did not spend all her time in paying dull [visits] to dull ladies, and sitting dully at home waiting for dull ladies to pay [visits] to her. She was almost always there, ready to play with the children, and read to them, and help them to do their home-lessons. Besides this she used to write stories for them while they were at school, and read them aloud after tea, and she always made up funny pieces of poetry for their birthdays and for other great occasions.

According to the text, what is true about Mother?

The following text is from Maggie Pogue Johnson’s 1910 poem “Poet of Our Race.” In this poem, the speaker is addressing Paul Laurence Dunbar, a Black author.

Thou, with stroke of mighty pen, Hast told of joy and mirth,

And read the hearts and souls of men As cradled from their birth.

The language of the flowers, Thou hast read them all,

And e’en the little brook Responded to thy call.

Which choice best states the main purpose of the text?

“To You” is an 1856 poem by Walt Whitman. In the poem, Whitman suggests that readers, whom he addresses directly, have not fully understood themselves, writing,         

Which quotation from “To You” most effectively illustrates the claim?

Born in 1891 to a Quechua-speaking family in the Andes Mountains of Peru, Martín Chambi is today considered to be one of the most renowned figures of Latin American photography. In a paper for an art history class, a student claims that Chambi’s photographs have considerable ethnographic value—in his work, Chambi was able to capture diverse elements of Peruvian society, representing his subjects with both dignity and authenticity.

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

In the mountains of Brazil, Barbacenia tomentosa and Barbacenia macrantha—two plants in the Velloziaceae family—establish themselves on soilless, nutrient-poor patches of quartzite rock. Plant ecologists Anna Abrahão and Patricia de Britto Costa used microscopic analysis to determine that the roots of B. tomentosa and B. macrantha, which grow directly into the quartzite, have clusters of fine hairs near the root tip; further analysis indicated that these hairs secrete both malic and citric acids. The researchers hypothesize that the plants depend on dissolving underlying rock with these acids, as the process not only creates channels for continued growth but also releases phosphates that provide the vital nutrient phosphorus.

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

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 _____

Which choice most logically completes the text?

In documents called judicial opinions, judges explain the reasoning behind their legal rulings, and in those explanations they sometimes cite and discuss historical and contemporary philosophers. Legal scholar and philosopher Anita L. Allen argues that while judges are naturally inclined to mention philosophers whose views align with their own positions, the strongest judicial opinions consider and rebut potential objections; discussing philosophers whose views conflict with judges’ views could therefore                          

Which choice most logically completes the text?

Public-awareness campaigns about the need to reduce single-use plastics can be successful, says researcher Kim Borg of Monash University in Australia, when these campaigns give consumers a choice: for example, Japan achieved a 40 percent reduction in plastic-bag use after cashiers were instructed to ask customers whether                   wanted a bag.

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

In ancient Greece, an Epicurean was a follower of Epicurus, a philosopher whose beliefs revolved around the pursuit of pleasure. Epicurus defined pleasure as “the absence of pain in the body and of trouble in the             that all life’s virtues derived from this absence.

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

British scientists James Watson and Francis Crick won the Nobel Prize in part for their 1953 paper announcing the double helix structure of DNA, but it is misleading to say that Watson and Crick discovered the double helix.                findings were based on a famous X-ray image of DNA fibers, “Photo 51,” developed by X-ray crystallographer Rosalind Franklin and her graduate student Raymond Gosling.

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

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                “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?

In 1637, the price of tulips skyrocketed in Amsterdam, with single bulbs of rare varieties selling for up to the equivalent of $200,000 in today’s US dollars. Some historians    that this “tulip mania” was the first historical instance of an asset bubble, which occurs when investors drive prices to highs not supported by actual demand.

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

Researchers studying magnetosensation have determined why some soil-dwelling roundworms in the Southern Hemisphere move in the opposite direction of Earth’s magnetic field when searching for                     in the Northern Hemisphere, the magnetic field points down, into the ground, but in the Southern Hemisphere, it points up, toward the surface and away from worms’ food sources.

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

Scientists believe that, unlike most other species of barnacle, turtle barnacles (Chelonibia testudinari) can dissolve the cement-like secretions they use to attach         to a sea turtle shell, enabling the barnacles to move short distances across the shell’s surface.

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

The classic children’s board game Chutes and Ladders is a version of an ancient Nepalese game, Paramapada Sopanapata. In both games, players encounter “good” or “bad” spaces while traveling along a path; landing on one of the good spaces

                a player to skip ahead and arrive closer to the end goal.

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

In 1943, in the midst of World War II, mathematics professor Grace Hopper was recruited by the US military to help the war effort by solving complex equations. Hopper’s subsequent career would involve more than just            as a pioneering computer programmer, Hopper would help usher in the digital age.

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

In 1453, English King Henry VI became unfit to rule after falling gravely ill. As a result, Parliament appointed Richard, Third Duke of York, who had a strong claim to the English throne, to rule as Lord Protector. Upon recovering two years later,                  forcing an angered Richard from the royal court and precipitating a series of battles later known as the Wars of the Roses.

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

Although novels and poems are considered distinct literary forms, many authors have created hybrid works that incorporate elements of both. Bernardine Evaristo’s The Emperor's Babe,        is a verse novel, a book-length narrative complete with characters and a plot but conveyed in short, crisp lines of poetry rather than prose.

Which choice completes the text with the most logical transition?

At two weeks old, the time their critical socialization period begins, wolves can smell but cannot yet see or hear. Domesticated dogs,                                                           can see, hear, and smell by the end of two weeks. This relative lack of sensory input may help explain why wolves behave so differently around humans than dogs do: from a very young age, wolves are more wary and less exploratory.

Which choice completes the text with the most logical transition?

Researchers Helena Mihaljević-Brandt, Lucía Santamaría, and Marco Tullney report that while mathematicians may have traditionally worked alone, evidence points to a shift in the opposite direction. mathematicians are choosing to collaborate with their peers—a trend illustrated by a rise in the number of mathematics publications credited to multiple authors.

Which choice completes the text with the most logical transition?

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

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

The student wants to present the study and its findings. 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:

• African American women played prominent roles in the Civil Rights Movement, including at the famous 1963 March on
• Civil rights activist Anna Hedgeman, one of the march’s organizers, was a political adviser who had worked for President
• Civil rights activist Daisy Bates was a well-known journalist and advocate for school
• Hedgeman worked behind the scenes to make sure a woman was included in the lineup of speakers at the
• Bates was the sole woman to speak, delivering a brief but memorable address to the cheering

The student wants to compare the two women’s contributions to the March on Washington. Which choice most effectively uses relevant information from the notes to accomplish this goal?

For painter Jacob Lawrence, being          was an important part of the artistic process. Because he paid close attention to all the details of his Harlem neighborhood, Lawrence’s artwork captured nuances in the beauty and vitality of the Black experience during the Harlem Renaissance and the Great Migration.

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

Mônica Lopes-Ferreira and others at Brazil’s Butantan Institute are studying the freshwater stingray species Potamotrygon rex to determine whether biological characteristics such as the rays’ age and sex have                       effect on the toxicity of their venom—that is, to see if differences in these traits are associated with considerable variations in venom potency.

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

Researchers have struggled to pinpoint specific causes for hiccups, which happen when a

person’s diaphragm contracts     . However, neuroscientist Kimberley Whitehead has found that these uncontrollable contractions may play an important role in helping infants regulate their breathing.

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

Critics have asserted that fine art and fashion rarely

                in a world where artists create timeless works for exhibition and designers periodically produce new styles for the public to buy. Luiseño/ Shoshone-Bannock beadwork artist and designer Jamie Okuma challenges this view: her work can be seen in the Metropolitan Museum of Art and purchased through her online boutique.

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

Scholarly discussions of gender in Shakespeare’s comedies often celebrate the rebellion of the playwright’s characters against the rigid expectations.

            by Elizabethan society. Most of the comedies end in marriage, with characters returning to their socially dictated gender roles after previously defying them, but there are some notable exceptions.

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

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                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?

The province of Xoconochco was situated on the Pacific coast, hundreds of kilometers southeast of Tenochtitlan, the capital of the Aztec Empire.

Because Xoconochco’s location within the empire was so           , cacao and other trade goods produced there could reach the capital only after a long overland journey.

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

The following text is from Charlotte Brontë’s 1847 novel Jane Eyre. Jane 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?

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?

The following text is adapted from William Shakespeare’s 1609 poem “Sonnet 27.” The poem is addressed to a close friend as if he were physically present.

Weary with toil, I [hurry] to my bed,

The dear repose for limbs with travel tired; But then begins a journey in my head

To work my mind, when body’s work’s expired: For then my thoughts—from far where I abide— [Begin] a zealous pilgrimage to thee,

And keep my drooping eyelids open wide, What is the main idea of the text?

Psychologists Dacher Keltner and Jonathan Haidt have argued that experiencing awe—a sensation of reverence and wonder typically brought on by perceiving something grand or powerful—can enable us to feel more connected to others and thereby inspire us to act more altruistically. Keltner, along with Paul K. Piff, Pia Dietze, and colleagues, claims to have found evidence for this effect in a recent study where participants were asked to either gaze up at exceptionally tall trees in a nearby grove (reported to be a universally awe-inspiring experience) or stare at the exterior of a nearby, nondescript building.

After one minute, an experimenter deliberately spilled a box of pens nearby.

Which finding from the researchers’ study, if true, would most strongly support their claim?

Many archaeologists will tell you that categorizing excavated fragments of pottery by style, period, and what objects they belong to relies not only on standard criteria, but also on instinct developed over years of practice. In a recent study, however,

researchers trained a deep-learning computer model on thousands of images of pottery fragments and found that it could categorize them as accurately as a team of expert archaeologists. Some archaeologists have expressed concern that they might be replaced by such computer models, but the researchers claim that outcome is highly unlikely.

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

The following text is adapted from Lewis Carroll’s 1889 satirical novel Sylvie and Bruno. A crowd has gathered outside a room belonging to the Warden, an official who reports to the Lord Chancellor.

One man, who was more excited than the rest, flung his hat high into the air, and shouted (as well as I could make out) “Who roar for the

Sub-Warden?” Everybody roared, but whether it was for the Sub-Warden, or not, did not clearly appear: some were shouting “Bread!” and some “Taxes!”, but no one seemed to know what it was they really wanted.

All this I saw from the open window of the Warden’s breakfast-saloon, looking across the shoulder of the Lord Chancellor.

“What can it all mean?” he kept repeating to himself. “I never heard such shouting before—and at this time of the morning, too! And with such unanimity!”

Based on the text, how does the Lord Chancellor respond to the crowd?

O Pioneers! is a 1913 novel by Willa Cather. In the novel, Cather portrays Alexandra Bergson as having a deep emotional connection to her natural surroundings: _______

Which quotation from O Pioneers! most effectively illustrates the claim?

Although military veterans make up a small proportion of the total population of the

United States, they occupy a significantly higher proportion of the jobs in the civilian government. One possible explanation for this disproportionate representation is that military service familiarizes people with certain organizational structures that are also reflected in the civilian government bureaucracy, and this familiarity thus          

Which choice most logically completes the text?

Birds of many species ingest foods containing carotenoids, pigmented molecules that are converted into feather coloration. Coloration tends to be especially saturated in male birds’ feathers, and because carotenoids also confer health benefits,

the deeply saturated colors generally serve to communicate what is known as an honest signal of a bird’s overall fitness to potential mates. However,

ornithologist Allison J. Shultz and others have found that males in several species of the tanager genus Ramphocelus use microstructures in their feathers to manipulate light, creating the appearance of deeper saturation without the birds necessarily having to maintain a carotenoid-rich diet. These findings suggest that  

Which choice most logically completes the text?

When writing The Other Black Girl (2021), novelist Zakiya Dalila Harris drew on her own experiences working at a publishing office. The award-winning book is Harris’s first novel, but her writing                                                                                           honored before. At the age of twelve, she entered a contest to have a story published in American Girl magazine—and won.

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

The Alvarez theory, developed in 1980 by physicist Luis Walter Alvarez and his geologist son Walter Alvarez, maintained that the secondary effects of an asteroid impact caused many dinosaurs and other animals to die      it left unexplored the question of whether unrelated volcanic activity might have also contributed to the mass extinctions.

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

In winter, the diets of Japanese macaques, also known as snow monkeys, are influenced more by food availability than by food preference.

Although the monkeys prefer to eat vegetation and land-dwelling invertebrates, those food sources may become unavailable because of extensive snow and ice cover,       the monkeys to hunt for marine animals in any streams that have not frozen over.

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

Lucía Michel of the University of Chile observed that alkaline soils contain an insoluble form of iron that blueberry plants cannot absorb, thus inhibiting blueberry growth. If these plants were grown in alkaline soil alongside grasses that aid in iron solubilization,                                        Michel was determined to find out.

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

In his 1963 exhibition Exposition of Music— Electronic Television, Korean American artist

Nam June Paik showed how television images could be manipulated to express an artist’s perspective.

Today, Paik                considered the first video artist.

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

The first computerized spreadsheet, Dan Bricklin’s VisiCalc, improved financial recordkeeping not only by providing users with an easy means of adjusting data in spreadsheets but also by automatically updating all calculations that were dependent on these                to VisiCalc’s release, changing a paper spreadsheet often required redoing the entire sheet by hand, a process that could take days.

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

In order to prevent nonnative fish species from moving freely between the Mediterranean and Red Seas, marine biologist Bella Galil has proposed that a saline lock system be installed along the Suez Canal in Egypt’s Great Bitter Lakes. The lock would increase the salinity of the lakes and                                                                             a natural barrier of water most marine creatures would be unable to cross.

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

Despite being cheap, versatile, and easy to produce,

                they are made from nonrenewable petroleum, and most do not biodegrade in landfills.

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

Stomata, tiny pore structures in a leaf that absorb gases needed for plant growth, open when guard cells surrounding each pore swell with water. In a pivotal 2007 article, plant cell              showed that lipid molecules called phosphatidylinositol phosphates are responsible for signaling guard cells to open stomata.

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

Small, flat structures called spatulae are found at the tips of the hairs on a spider’s leg. These spatulae temporarily bond with the atoms of whatever they touch.       spiders are able to cling to and climb almost any surface.

Which choice completes the text with the most logical transition?

In November 1934, Amrita Sher-Gil was living in what must have seemed like the ideal city for a young artist: Paris. She was studying firsthand the color-saturated style of France’s modernist masters and beginning to make a name for herself as a painter.                              Sher-Gil longed to return to her childhood home of India; only there, she believed, could her art truly flourish.

Which choice completes the text with the most logical transition?

Before California’s 1911 election to approve a proposition granting women the right to vote, activists across the state sold tea to promote the cause of suffrage. In San Francisco, the Woman’s Suffrage Party sold Equality Tea at local fairs.                           in

Los Angeles, activist Nancy Tuttle Craig, who ran one of California’s largest grocery store firms, distributed Votes for Women Tea.

Which choice completes the text with the most logical transition?

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

• The Seikan Tunnel is a rail tunnel in
• It connects the island of Honshu to the island of
• It is roughly 33 miles
• The Channel Tunnel is a rail tunnel in
• It connects Folkestone, England, to Coquelles,
• It is about 31 miles

The student wants to compare the lengths of the two rail tunnels. 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:

• Jon Ching is a Los Angeles-based
• He uses the term “flauna” to describe the plant- animal hybrids that he depicts in his surreal
• “Flauna” is a combination of the words “flora” and “fauna.”
• His painting Nectar depicts a parrot with leaves for
• His painting Primaveral depicts a snow leopard whose fur sprouts

The student wants to provide an explanation and example of “flauna.” 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:

• In the midst of the US Civil War, Susie Taylor escaped slavery and fled to Union-army-occupied Simons Island off the Georgia coast.
• She began working for an all-Black army regiment as a nurse and
• In 1902, she published a book about the time she spent with the
• Her book was the only Civil War memoir to be published by a Black
• It is still available to readers in print and

The student wants to emphasize the uniqueness of Taylor’s accomplishment. Which choice most effectively uses relevant information from the notes to accomplish this goal?

What is 10% of 470?

4x + 6 = 18

Which equation has the same solution as the given equation?

The total cost, in dollars, to rent a surfboard consists of a $25 service fee and a $10 per hour rental fee. A person rents a surfboard for t hours and intends to spend a maximum of $75 to rent the surfboard.

Which inequality represents this situation?

The function g is defined by g(x) = x^2 + 9. For which value of x is g(x) = 25 ?

Each face of a fair 14-sided die is labeled with a number from 1 through 14, with a different number appearing on each face. If the die is rolled one time, what is the probability of rolling a 2?

A printer produces posters at a constant rate of 42 posters per minute. At what rate, in posters per hour, does the printer produce the posters?

The function f is defined by the equation f (x) = 7x + 2. What is the value of f (x) when

x = 4 ?

A teacher is creating an assignment worth 70 points. The assignment will consist of questions worth

1 point and questions worth 3 points. Which equation represents this situation, where x represents the number of 1-point questions and y represents the number of 3-point questions?

Right triangles LMN and PQR are similar, where L and M correspond to P and Q, respectively. Angle M has a measure of 53°. What is the measure of angle Q ?

y = -3x

4x + y = 15

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

Which of the following equations is the most appropriate linear model for the data shown in the scatterplot?

Vivian bought party hats and cupcakes for $71. Each package of party hats cost $3, and each cupcake cost $1. If Vivian bought 10 packages of party hats, how many cupcakes did she buy?

z^2 + 10z - 24 = 0

What is one of the solutions to the given equation?

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?

Which expression is equivalent to 6x^8y^2 + 12x^2y^2?

A neighborhood consists of a 2-hectare park and a 35-hectare residential area. The total number of trees in the neighborhood is 3,934. The equation 2x + 35y = 3,934 represents this situation. Which of the following is the best interpretation of x in this context?

Circle A has a radius of 3n and circle B has a radius of 129n, where n is a positive constant. The area of circle B is how many times the area of circle A?

The frequency table summarizes the 57 data values in a data set. What is the maximum data value in the data set?

A circle in the xy-plane has a diameter with endpoints (2, 4) and (2, 14). An equation of this circle is (x − 2)^2 + (y − 9)^2 = r^2, where r is a positive constant. What is the value of r ?

The measure of angle R is 2π/3 radians.

The measure of angle T is 5π/12  radians greater than the measure of angle R. What is the measure of angle T, in degrees?

A certain town has an area of 4.36 square miles. What is the area, in square yards, of this town? (1 mile = 1,760 yards)

In the xy-plane, the graph of the equation y = −x^2 + 9x − 100 intersects the line y = c at exactly one point. What is the value of c?

The perimeter of an equilateral triangle is 624 centimeters. The height of this triangle is k√3 centimeters, where k is a constant. What is the value of k?

Tilly earns p dollars for every w hours of work. Which expression represents the amount of money, in dollars, Tilly earns for 39w hours of work?

For a training program, Juan rides his bike at an average rate of 5.7 minutes per mile. Which

function m models the number of minutes it will take Juan to ride x miles at this rate?

3x = 12

−3x + y = −6

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

s = 40 + 3t

The equation gives the speed s, in miles per hour, of a certain car t seconds after it began to accelerate. What is the speed, in miles per hour, of the car

5 seconds after it began to accelerate?

4x + 5 = 165

What is the solution to the given equation?

The function f is defined by f (x) = 1/10x − 2. What is the y-intercept of the graph of y = f (x) in the xy-plane?

The function f is defined by f (x) = 7x^3. In the xy-plane, the graph of y = g(x) is the result of shifting the graph of y = f (x) down 2 units. Which equation defines function g ?

x + 7 = 10

(x + 7)^2 = y

Which ordered pair (x, y) is a solution to the given system of equations?

Which expression is equivalent to (7x^3 + 7x) − (6x^3 − 3x) ?

The function p is defined by p(n) = 7n^3. What is the value of n when p(n) is equal to 56?

A list of 10 data values is shown.

6, 8, 16, 4, 17, 26, 8, 5, 5, 5

What is the mean of these data?

The equation E(t) = 5(1.8)^t gives the estimated number of employees at a restaurant, where t is the number of years since the restaurant opened. Which of the following is the best interpretation of the number 5 in this context?

g(x) = x^2 + 55

What is the minimum value of the given function?

Each year, the value of an investment increases by 0.49% of its value the previous year. Which of the following functions best models how the value of the investment changes over time?

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

Which expression is equivalent to a 11/12 where a>0

An event planner is planning a party. It costs the event planner a onetime fee of $35 to rent the venue and $10.25 per attendee. The event planner has a budget of $200. What is the greatest number of attendees possible without exceeding the budget?

A cube has an edge length of 68 inches. A solid sphere with a radius of 34 inches is inside the cube, such that the sphere touches the center of each face of the cube. To the nearest cubic inch, what is the volume of the space in the cube not taken up by the sphere?

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

What is the diameter of the circle in the xy-plane with equation (x − 5)^2 + (y − 3)^2 = 16 ?

For the exponential function f, the value of f (1) is k, where k is a constant. Which of the following equivalent forms of the function f shows the value of k as the coefficient or the base?

A model estimates that at the end of each year from 2015 to 2020, the number of squirrels in a population was 150% more than the number of squirrels in the population at the end of the previous year. The model estimates that at the end of 2016, there were 180 squirrels in the population. Which of the following equations represents this model, where n is the estimated number of squirrels in the population t years after the end of 2015 and t ≤ 5 ?

5x + 7y = 1

ax + by = 1

In the given pair of equations, a and b are constants. The graph of this pair of equations in the xy-plane is a pair of perpendicular lines. Which of the following pairs of equations also represents a pair of perpendicular lines?

x^2 − 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?