Question 1 Topic 1.1 · Apply it
Many animals that live in the deep ocean make their own light, a process called bioluminescence. Some, like certain shrimp, release glowing clouds to confuse predators. Others, such as the anglerfish, use a glowing lure to attract prey. Still others light up their undersides so that, seen from below, they blend in with the faint light coming from the surface.
Which choice best states the main idea of the text?
A Anglerfish are the most successful hunters in the deep ocean. B Deep-sea animals use the light they produce for several different purposes. C Bioluminescence is more common in shallow water than in the deep ocean. D Scientists do not yet understand why deep-sea animals produce light.
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Question 2 Topic 1.1 · Apply it
For years Mara had walked past the old bakery on Elm Street without looking up. On the morning it closed, she stopped. The windows were bare, and the smell of warm bread that had followed her to school every day was gone. She stood there longer than she meant to, surprised by how much she missed something she had never really noticed.
Which choice best states the main idea of the text?
A Mara regrets never buying bread from the bakery. B Mara is late for school because the bakery has closed. C Mara realizes that a familiar part of her daily routine mattered more to her than she knew. D Mara decides to open a bakery of her own on Elm Street.
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Question 3 Topic 1.1 · Apply it
Cities are often several degrees warmer than the countryside around them, an effect known as the urban heat island. Dark pavement and buildings absorb sunlight during the day and release the heat slowly at night. Some cities are trying to reduce the effect by planting trees, which provide shade and cool the air, and by painting roofs in light colors that reflect sunlight.
Which choice best states the main idea of the text?
A Cities tend to be warmer than nearby rural areas, but certain choices can reduce this effect. B Planting trees is the only way to cool a city. C Dark pavement is cheaper than light-colored roofing. D The countryside is becoming warmer because of nearby cities.
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Question 4 Topic 1.1 · Concept check
When a honeybee finds a good source of food, it returns to the hive and performs a 'waggle dance.' The angle of the dance tells other bees which direction to fly, measured relative to the position of the sun. The length of time the bee spends waggling tells them how far away the food is: a longer waggle means a more distant source.
According to the text, what does the length of the waggle tell other bees?
A The direction of the sun B The type of flower the food came from C How many bees should go to the food source D How far away the food source is
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Question 5 Topic 1.1 · Apply it
Leo checked the clock for the third time in a minute. Backstage, the other musicians laughed and tuned their instruments, but he stood apart, turning his violin bow over and over in his hands. When someone called his name, he jumped. 'Ready?' she asked. He nodded, though his mouth had gone completely dry.
Which quotation from the text most effectively illustrates the claim that Leo is nervous before the performance?
A "Backstage, the other musicians laughed and tuned their instruments" B "When someone called his name, he jumped." C "'Ready?' she asked." D "someone called his name"
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Question 6 Topic 1.1 · Experiment
A team of biologists studying a species of songbird noticed that birds living in cities sing at a higher pitch than birds of the same species living in forests. The team hypothesizes that city birds sing higher because the low-pitched rumble of traffic would otherwise drown out the lower notes of their songs.
Which finding, if true, would most directly support the team's hypothesis?
A City birds of this species are slightly larger than forest birds of the same species. B Forest birds of this species sing more often in the morning than in the evening. C Birds of this species living in city areas with little traffic sing at lower pitches than those living near busy roads. D Birds of this species living in cities eat a wider variety of foods than forest birds.
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Question 7 Topic 1.1 · Experiment
Sales at Rosa's coffee shop rose by 15 percent in the month after she hung a large new sign above the door. Rosa concludes that the new sign attracted more customers and caused the increase in sales.
Which finding, if true, would most directly weaken Rosa's conclusion?
A Customers who visited for the first time that month said they liked the shop's atmosphere. B Sales also rose by about 15 percent that month at Rosa's second shop across town, which did not get a new sign. C The new sign cost more than Rosa's previous sign. D Rosa's shop sells more tea than coffee in the summer.
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Question 8 Topic 1.1 · Data analysis
Average hours of sleep on school nights, by grade (hypothetical survey) Grade Average hours of sleep 9 7.6 10 7.3 11 6.9 12 6.8
A student is writing about how sleep changes during high school. Which choice most effectively uses data from the table to complete the statement? According to the survey, students in grade 12 sleep ______
A more on school nights than students in grade 9. B about the same amount as students in grade 10. C less on school nights than students in any other grade surveyed. D exactly seven hours on school nights.
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Question 9 Topic 1.1 · Data analysis
Butterflies counted at a nature reserve each summer (hypothetical data) Year Butterflies counted 2019 1,240 2020 980 2021 610 2022 720 2023 890
Which choice most effectively uses data from the table to support the claim that the butterfly count fell and then began to recover?
A The count was 1,240 in 2019 and 890 in 2023. B The count fell from 1,240 in 2019 to 610 in 2021 and then rose to 890 by 2023. C The count rose by 110 between 2021 and 2022. D The highest count in the table was 1,240.
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Question 10 Topic 1.1 · Data analysis
Tomato harvest per plant in a garden trial, in kilograms (hypothetical data) Fertilizer Regular watering Reduced watering A 4.1 2.2 B 4.0 3.1
A gardener claims that fertilizer B is the better choice for gardens that receive little water. Which choice best describes data from the table that support the gardener's claim?
A With regular watering, plants given fertilizer A produced slightly more than plants given fertilizer B. B Plants given fertilizer A produced 4.1 kilograms with regular watering. C Plants given either fertilizer produced less with reduced watering. D With reduced watering, plants given fertilizer B produced 3.1 kilograms, compared with 2.2 kilograms for fertilizer A.
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Question 11 Topic 1.1 · Apply it
Scientists long assumed that the original colors of fossil feathers had been lost. Then researchers found tiny structures called melanosomes, which hold pigment in living birds' feathers, preserved in some fossils. Because melanosomes of different shapes are linked to different colors in living birds, comparing the fossil melanosomes with modern ones allowed the researchers to ______
Which choice most logically completes the text?
A prove that all extinct animals were brightly colored. B show that fossils lose all their color over time. C estimate the original colors of some extinct feathered animals. D explain why modern birds have feathers.
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Question 12 Topic 1.1 · Apply it
Along parts of the Pacific coast, sea otters eat large numbers of sea urchins, and sea urchins feed on kelp, the large seaweed that forms underwater forests. Researchers studying areas where sea otters had disappeared would therefore most likely expect to find that ______
Which choice most logically completes the text?
A sea urchins had become more numerous and kelp forests had shrunk. B sea urchins had disappeared along with the sea otters. C kelp forests had grown larger than before. D sea otters had begun eating kelp instead of urchins.
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Question 13 Topic 1.1 · Apply it
The seeds of some desert plants sprout only after a heavy rain. A light shower wets only the surface of the soil, and the water evaporates quickly in the heat, while a heavy rain soaks deep into the ground. Sprouting only after heavy rain therefore likely helps these seedlings ______
Which choice most logically completes the text?
A grow taller than plants in rainforests. B avoid being eaten by desert animals. C produce seeds more quickly than other plants. D have enough water in the soil to survive their first weeks.
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Question 14 Topic 1.1 · Apply it
Historians studying daily life in the 1700s often rely on letters. However, most surviving letters from that period come from wealthy families, who could afford paper and postage and who kept family papers in safe places for generations. Letters written by poorer people were less common and were rarely preserved. Conclusions based only on surviving letters may therefore ______
Which choice most logically completes the text?
A prove that poor families did not write letters. B not accurately represent the lives of poorer people from that period. C be more reliable than any other historical source. D show that letters were the main form of entertainment.
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Question 15 Topic 1.2 · Apply it
Critics praised the new library building for its ______: every room served a clear purpose, and nothing had been added simply for decoration.
Which choice completes the text with the most logical and precise word or phrase?
A economy B ornamentation C ambiguity D fragility
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Question 16 Topic 1.2 · Apply it
Although the first results were ______, the research team repeated the experiment three more times before announcing the discovery.
Which choice completes the text with the most logical and precise word or phrase?
A unnoticed B tedious C contradictory D promising
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Question 17 Topic 1.2 · Apply it
The novelist's characters are rarely simple heroes or villains; instead, they are ______, showing both admirable and troubling qualities.
Which choice completes the text with the most logical and precise word or phrase?
A predictable B complex C minor D fictional
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Question 18 Topic 1.2 · Apply it
Instead of building a taller sea wall, the engineer proposed a novel approach: restoring the wetlands along the shore so that marsh plants could absorb some of the force of the waves.
As used in the text, what does the word "novel" most nearly mean?
A new B written C lengthy D imaginary
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Question 19 Topic 1.2 · Apply it
The mayor's response to the complaints was ______: within an hour she had acknowledged the problem and announced a plan to fix it by the end of the week.
Which choice completes the text with the most logical and precise word or phrase?
A evasive B reluctant C vague D prompt
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Question 20 Topic 1.2 · Apply it
Because only students who chose to answer took part, the survey results reflect the views of those students rather than the views of the whole school.
As used in the text, what does the word "reflect" most nearly mean?
A bounce back B think carefully about C represent D copy
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Question 21 Topic 1.2 · Apply it
An octopus can change color in less than a second. Its skin contains thousands of tiny sacs of pigment, each surrounded by muscles. When the muscles pull a sac open, its color spreads out and becomes visible; when they relax, the sac shrinks and the color nearly disappears. By controlling many sacs at once, the octopus can create patterns that match its surroundings.
Which choice best states the main purpose of the text?
A To argue that octopuses are the most intelligent sea animals B To compare octopuses with other animals that change color C To explain how an octopus is able to change its color D To describe the different colors an octopus can display
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Question 22 Topic 1.2 · Apply it
For many years, scientists believed that adult brains could not grow new nerve cells. However, studies have since found that new nerve cells continue to form in at least one part of the adult brain, a region important for memory. These findings have led researchers to ask how activities such as exercise might affect this growth.
Which choice best describes the function of the second sentence in the overall structure of the text?
A It presents evidence that challenges the belief described in the first sentence. B It gives an example that supports the belief described in the first sentence. C It explains why scientists first held the belief described in the first sentence. D It summarizes the questions researchers are now asking.
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Question 23 Topic 1.2 · Apply it
Every year, thousands of plastic bottles wash up on the beaches of a small coastal town. Volunteers used to collect them by hand, but they could never keep up. Last spring, students at the local high school designed a floating barrier that guides bottles to a single collection point before they reach the shore. In its first month, the barrier caught more bottles than the volunteers had collected all year.
Which choice best describes the overall structure of the text?
A It compares two towns and their approaches to recycling. B It describes a problem and then explains a solution and its early results. C It argues that volunteers should stop collecting bottles. D It lists the materials used to build a floating barrier.
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Question 24 Topic 1.2 · Apply it
The bus was late again. Amira watched her breath cloud in the cold air and counted the cars that passed: eleven, twelve, thirteen. Somewhere a dog barked twice and stopped. She pulled her scarf higher and checked the empty road one more time. Nothing. She began counting again from one.
Which choice best states the main purpose of the text?
A To explain why the bus is late B To describe the neighborhood where Amira lives in detail C To argue that public buses should run more often D To convey the slow, repetitive experience of Amira's wait
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Question 25 Topic 1.2 · Apply it
Swifts, small birds that feed on flying insects, spend most of their lives in the air. Some swifts have been recorded staying airborne for months at a time, eating, drinking and even sleeping while flying. Researchers think this remarkable ability may be explained by the swifts' long, narrow wings, which allow them to glide using very little energy.
Which choice best describes the function of the last sentence in the overall structure of the text?
A It describes a second remarkable ability of swifts. B It offers a possible explanation for the behavior described earlier. C It questions whether the earlier recordings were accurate. D It compares swifts with other birds that eat insects.
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Question 26 Topic 1.2 · Apply it
Many people assume that a desert is simply a hot place with sand dunes. In fact, scientists define a desert by how little rain it receives, not by its temperature. By that definition, much of Antarctica, one of the coldest places on Earth, is a desert.
Which choice best states the main purpose of the text?
A To correct a common misunderstanding about what makes a place a desert B To describe the plants and animals that live in Antarctica C To argue that sand dunes are the most important feature of deserts D To explain why Antarctica receives so little rain
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Question 27 Topic 1.2 · Apply it
Text 1 A common view is that homework helps students learn, no matter their age. Supporters say it builds good habits and gives students extra practice. Text 2 Research reviews have generally found that homework is linked to higher achievement for high school students, but the link is much weaker for students in elementary school. For younger children, short assignments that build a habit of reading may matter more than the amount of homework.
Based on the texts, how would the author of Text 2 most likely respond to the view described in Text 1?
A By agreeing that homework helps students of every age equally B By arguing that homework should be banned for all students C By suggesting that the view is better supported for older students than for younger ones D By claiming that good habits are not important for learning
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Question 28 Topic 1.2 · Apply it
Text 1 Many home gardeners water their plants a little every day, believing that frequent watering keeps plants healthiest. Text 2 Gardening experts often recommend watering deeply but less often. When only the top layer of soil is kept moist, roots tend to stay near the surface. Deep, less frequent watering encourages roots to grow downward, which helps plants survive hot, dry periods.
Based on the texts, the experts in Text 2 would most likely say that the gardeners' practice described in Text 1
A is the best way to help plants survive dry periods. B may lead to plants with shallow roots. C uses less water than any other method. D has no effect on how roots grow.
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Question 29 Topic 1.2 · Apply it
Text 1 Working from home lets employees avoid long commutes and focus without office interruptions. For many workers, it leads to more productive days. Text 2 Working from home can increase focus, but it can also make it harder for new employees to learn from experienced colleagues. Quick questions and informal advice happen more easily when people share a workplace.
Which choice best describes how Text 2 relates to Text 1?
A Text 2 rejects every benefit of working from home described in Text 1. B Text 2 provides statistics that prove the claim in Text 1. C Text 2 describes a history of working from home that Text 1 leaves out. D Text 2 accepts a benefit described in Text 1 but points out a drawback.
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Question 30 Topic 1.3 · Data analysis
While researching a topic, a student has taken the following notes: • Mary Anning (1799–1847) was an English fossil collector. • She lived in Lyme Regis, a town on England's southern coast. • In 1823 she found a nearly complete skeleton of a plesiosaur, a large marine reptile. • Her discoveries helped scientists understand extinct animals. • As a woman, she was not allowed to join the Geological Society of London.
The student wants to introduce Mary Anning to an audience unfamiliar with her. Which choice most effectively uses relevant information from the notes to accomplish this goal?
A In 1823, a nearly complete plesiosaur skeleton was found. B Lyme Regis is a town on England's southern coast. C The Geological Society of London did not allow women to join. D Mary Anning, an English fossil collector of the early 1800s, found a nearly complete plesiosaur skeleton in 1823.
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Question 31 Topic 1.3 · Data analysis
While researching a topic, a student has taken the following notes: • Mauna Loa, in Hawaii, is a shield volcano. • Shield volcanoes have broad, gentle slopes built by runny lava flows. • Mount St. Helens, in Washington State, is a stratovolcano. • Stratovolcanoes are steep and cone-shaped and can erupt explosively. • Mount St. Helens erupted in 1980.
The student wants to emphasize how the shapes of the two volcanoes differ. Which choice most effectively uses relevant information from the notes to accomplish this goal?
A Mount St. Helens, a stratovolcano, erupted in 1980. B Mauna Loa is in Hawaii, and Mount St. Helens is in Washington State. C Mauna Loa is a shield volcano with broad, gentle slopes, while Mount St. Helens is a steep, cone-shaped stratovolcano. D Shield volcanoes are built by runny lava flows.
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Question 32 Topic 1.3 · Data analysis
While researching a topic, a student has taken the following notes: • A class wanted to know whether plants grow faster under blue light or red light. • They grew 20 bean plants: 10 under blue lights and 10 under red lights. • All plants received the same amount of water and soil. • They measured the height of each plant every week for six weeks.
The student wants to present the class's research aim and method. Which choice most effectively uses relevant information from the notes to accomplish this goal?
A To find out whether bean plants grow faster under blue or red light, the class grew 10 plants under each color and measured their height weekly for six weeks. B The class grew 20 bean plants for six weeks. C All the plants received the same amount of water and soil. D The class measured the height of each plant every week.
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Question 33 Topic 1.3 · Data analysis
While researching a topic, a student has taken the following notes: • The Svalbard Global Seed Vault is in Norway. • It opened in 2008. • It stores samples of seeds from crops around the world. • The samples are a backup in case seeds are lost elsewhere, for example because of war or natural disasters.
The student wants to explain the purpose of the Svalbard Global Seed Vault. Which choice most effectively uses relevant information from the notes to accomplish this goal?
A The Svalbard Global Seed Vault opened in 2008. B The Svalbard Global Seed Vault is located in Norway. C Seeds can be lost because of war or natural disasters. D The Svalbard Global Seed Vault stores seeds from around the world as a backup in case crop seeds are lost elsewhere.
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Question 34 Topic 1.3 · Data analysis
While researching a topic, a student has taken the following notes: • Hadrian's Wall was built by the Romans in northern Britain, starting around AD 122. • It marked the northern edge of Roman Britain and helped control who crossed it. • The Great Wall of China was built and rebuilt by several Chinese dynasties over many centuries. • It was built mainly to protect against invasions from the north.
The student wants to emphasize a similarity between the two walls. Which choice most effectively uses relevant information from the notes to accomplish this goal?
A Hadrian's Wall was begun around AD 122, while the Great Wall of China was built over many centuries. B Both Hadrian's Wall and the Great Wall of China were built to help protect and control a northern border. C The Great Wall of China was built by several Chinese dynasties. D Hadrian's Wall is in northern Britain.
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Question 35 Topic 1.3 · Data analysis
While researching a topic, a student has taken the following notes: • Some animals change color with the seasons. • The snowshoe hare has a brown coat in summer and a white coat in winter. • The Arctic fox is brown or gray in summer and white in winter. • The ptarmigan, a bird, has mottled brown feathers in summer and white feathers in winter. • A white coat helps these animals blend in with snow.
The student wants to make a generalization about the animals in the notes. Which choice most effectively uses relevant information from the notes to accomplish this goal?
A The ptarmigan has mottled brown feathers in summer. B The snowshoe hare's coat is white in winter. C Several animals, including the snowshoe hare, Arctic fox and ptarmigan, turn white in winter, which helps them blend in with snow. D The Arctic fox can be brown or gray in summer.
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Question 36 Topic 1.3 · Apply it
Most spiders spin webs to catch their food. ______ the jumping spider hunts without a web, leaping onto insects from several body lengths away.
Which choice completes the text with the most logical transition?
A Similarly, B In contrast, C For example, D As a result,
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Question 37 Topic 1.3 · Apply it
The bridge was closed for repairs for six months. ______ many drivers switched to the train, and ridership rose sharply during that time.
Which choice completes the text with the most logical transition?
A As a result, B However, C For instance, D In other words,
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Question 38 Topic 1.3 · Apply it
Some foods last a long time without refrigeration. Honey, ______ can stay edible for years if it is stored in a sealed container, because it contains little water and is too acidic for most bacteria.
Which choice completes the text with the most logical transition?
A however, B therefore, C for example, D in contrast,
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Question 39 Topic 1.3 · Apply it
The new phone's battery lasts longer than the old model's. ______ the phone is lighter and has a larger screen, which many reviewers praised.
Which choice completes the text with the most logical transition?
A Instead, B Nevertheless, C In addition, D Consequently,
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Question 40 Topic 1.3 · Apply it
Early telescopes made distant objects look larger, but their images were often blurry at the edges and fringed with color. ______ astronomers could study the Moon's craters and Jupiter's moons in far more detail than with the naked eye.
Which choice completes the text with the most logical transition?
A Still, B For this reason, C Similarly, D Specifically,
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Question 41 Topic 1.4 · Concept check
The museum's newest exhibit features dozens of hand-drawn ______ some of them are more than three hundred years old.
Which choice completes the text so that it conforms to the conventions of Standard English?
A maps, B maps C maps; D maps and,
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Question 42 Topic 1.4 · Concept check
The recipe calls for only three ______ flour, water, and salt.
Which choice completes the text so that it conforms to the conventions of Standard English?
A ingredients: B ingredients; C ingredients D ingredients, and
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Question 43 Topic 1.4 · Concept check
Jane ______ a British scientist, spent decades studying wild chimpanzees in Tanzania.
Which choice completes the text so that it conforms to the conventions of Standard English?
A Goodall; B Goodall C Goodall: D Goodall,
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Question 44 Topic 1.4 · Concept check
The results of the ______ surprised even the researchers who designed it.
Which choice completes the text so that it conforms to the conventions of Standard English?
A experiment, B experiment; C experiment D experiment:
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Question 45 Topic 1.4 · Concept check
The trail to the summit was ______ the hikers reached the top before noon.
Which choice completes the text so that it conforms to the conventions of Standard English?
A steep, but B steep, C steep but, D steep
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Question 46 Topic 1.4 · Concept check
The festival's main event—a parade of hand-built ______ drew thousands of visitors to the town square.
Which choice completes the text so that it conforms to the conventions of Standard English?
A floats, B floats— C floats; D floats
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Question 47 Topic 1.4 · Concept check
Researchers studied the island's lizards for one main ______ to learn how quickly animals adapt to a new environment.
Which choice completes the text so that it conforms to the conventions of Standard English?
A reason; B reason C reason, and D reason:
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Question 48 Topic 1.4 · Concept check
Hundreds of ______ nests were built high in the trees along the river.
Which choice completes the text so that it conforms to the conventions of Standard English?
A bird's B birds' C birds D birds's
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Question 49 Topic 1.4 · Concept check
The collection of rare coins ______ displayed in the library's main hall.
Which choice completes the text so that it conforms to the conventions of Standard English?
A are B have been C were D is
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Question 50 Topic 1.4 · Concept check
By the time the rescue team arrived, the storm ______.
Which choice completes the text so that it conforms to the conventions of Standard English?
A passes B had passed C will pass D is passing
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Question 51 Topic 1.4 · Concept check
The two companies announced that ______ would combine into a single business next year.
Which choice completes the text so that it conforms to the conventions of Standard English?
A it B she C they D one
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Question 52 Topic 1.4 · Concept check
Walking along the beach at sunrise, ______
Which choice completes the text so that it conforms to the conventions of Standard English?
A Maria noticed hundreds of tiny shells. B hundreds of tiny shells caught Maria's eye. C the sunrise lit up hundreds of tiny shells for Maria. D there were hundreds of tiny shells that Maria noticed.
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Question 53 Topic 1.4 · Concept check
After inspecting the old bridge, the engineers have ______ that it needs major repairs.
Which choice completes the text so that it conforms to the conventions of Standard English?
A found B finding C find D to find
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Question 54 Topic 1.4 · Concept check
Both the poem and the short story ______ written by the same author.
Which choice completes the text so that it conforms to the conventions of Standard English?
A was B has been C is D were
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Question 55 Topic 2.1 · Concept check
If 3x + 7 = 22, what is the value of x?
A 3 B 5 C 7 D 15
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Question 56 Topic 2.1 · Apply it
If 2(x − 4) = 10, what is the value of x − 4?
A 5 B 9 C 1 D 14
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Question 57 Topic 2.1 · Concept check
A line has a slope of 3 and a y-intercept of 2. Which equation represents the line?
A y = 2x + 3 B y = 3x − 2 C y = −3x + 2 D y = 3x + 2
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Question 58 Topic 2.1 · Apply it
A phone plan costs $15 per month plus $0.10 for each text message sent. Which expression gives the cost, in dollars, of one month's plan when t text messages are sent?
A 15t + 0.10 B 0.10(15 + t) C 15 + 0.10t D 15.10t
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Question 59 Topic 2.1 · Concept check
x + y = 10 x − y = 4 What is the value of x in the solution to the system of equations above?
A 3 B 7 C 6 D 14
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Question 60 Topic 2.1 · Apply it
Which of the following values of x satisfies the inequality 5 − 2x > 1?
A 1 B 2 C 3 D 4
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Question 61 Topic 2.1 · Concept check
The function f is defined by f(x) = 4x − 3. What is the value of f(5)?
A 2 B 8 C 23 D 17
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Question 62 Topic 2.1 · Concept check
What is the slope of the line that passes through the points (2, 5) and (6, 13)?
A 1/2 B 4 C 2 D 8
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Question 63 Topic 2.1 · Apply it
A tank holds 200 liters of water and drains at a constant rate of 8 liters per minute. After how many minutes will 40 liters remain in the tank?
A 5 B 20 C 25 D 30
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Question 64 Topic 2.1 · Concept check
Which equation represents a line that is parallel to the line y = −2x + 5 and passes through the point (0, 1)?
A y = −2x + 1 B y = 2x + 1 C y = (1/2)x + 1 D y = −2x + 5
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Question 65 Topic 2.1 · Apply it
2x + 3y = 6 4x + ky = 5 In the system of equations above, k is a constant. For what value of k does the system have no solution?
A 3 B −6 C 12 D 6
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Question 66 Topic 2.1 · Apply it
The total cost C, in dollars, to rent a bike for h hours is given by C = 12 + 3h. What does the number 3 represent?
A The total cost of renting the bike B The number of hours the bike is rented C The cost per hour to rent the bike D A fixed fee charged for every rental
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Question 67 Topic 2.1 · Concept check
If x/4 + 2 = 5, what is the value of x?
A 3 B 12 C 28 D 7
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Question 68 Topic 2.1 · Apply it
A store sells notebooks for $3 each and pens for $1 each. Ana bought 8 items and spent $14. How many notebooks did she buy?
A 3 B 5 C 4 D 6
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Question 69 Topic 2.1 · Apply it
A student has 62 points and earns 3 points for each quiz completed. What is the minimum number of quizzes the student must complete to have at least 80 points?
A 5 B 7 C 18 D 6
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Question 70 Topic 2.2 · Concept check
Which expression is equivalent to x2 + 5x + 6?
A (x + 1)(x + 6) B (x − 2)(x − 3) C (x + 2)(x + 3) D (x + 5)(x + 1)
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Question 71 Topic 2.2 · Concept check
What is the positive solution to the equation x2 − 9 = 16?
A √7 B 5 C 25 D 4
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Question 72 Topic 2.2 · Concept check
The function f is defined by f(x) = x2 − 2x. What is the value of f(−3)?
A 15 B 3 C −15 D 9
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Question 73 Topic 2.2 · Concept check
Which expression is equivalent to (2x + 1)(x − 3)?
A 2x2 − 3 B 2x2 + 5x − 3 C 2x2 − 6x − 3 D 2x2 − 5x − 3
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Question 74 Topic 2.2 · Apply it
A population of 500 bacteria doubles every 3 hours. How many bacteria will there be after 9 hours?
A 1,500 B 3,000 C 4,000 D 13,500
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Question 75 Topic 2.2 · Apply it
The value of a machine is $1,000 when new and decreases by 20% each year. Which equation gives the value V, in dollars, after t years?
A V = 1,000(1.2)t B V = 1,000(0.8)t C V = 1,000 − 20t D V = 1,000(0.2)t
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Question 76 Topic 2.2 · Concept check
What is the vertex of the graph of y = (x − 4)2 + 1 in the xy-plane?
A (4, 1) B (−4, 1) C (1, 4) D (4, −1)
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Question 77 Topic 2.2 · Concept check
What is the sum of the solutions to x2 − 6x + 8 = 0?
A 8 B −6 C 2 D 6
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Question 78 Topic 2.2 · Concept check
Which expression is equivalent to (x3 )(x4 )?
A x12 B x1 C x7 D 2x7
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Question 79 Topic 2.2 · Concept check
If √(x + 5) = 4, what is the value of x?
A −1 B 11 C 16 D 21
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Question 80 Topic 2.2 · Concept check
Which expression is equivalent to 3(x + 2) − 2(x − 1)?
A x + 8 B x + 4 C 5x + 4 D x + 5
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Question 81 Topic 2.2 · Apply it
How many real solutions does the equation x2 + 2x + 5 = 0 have?
A Exactly two B Exactly one C Infinitely many D None
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Question 82 Topic 2.2 · Concept check
For x ≠ 2, which expression is equivalent to (x2 − 4)/(x − 2)?
A x − 2 B x + 2 C x2 − 2 D x + 4
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Question 83 Topic 2.3 · Apply it
A recipe uses 3 cups of flour for every 2 cups of sugar. How many cups of sugar are needed for 9 cups of flour?
A 6 B 4 C 13.5 D 8
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Question 84 Topic 2.3 · Apply it
A jacket costs $60. It is on sale for 15% off. What is the sale price?
A $45 B $9 C $69 D $51
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Question 85 Topic 2.3 · Apply it
The price of a book increased from $40 to $50. By what percent did the price increase?
A 10% B 20% C 25% D 50%
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Question 86 Topic 2.3 · Apply it
A train travels 150 kilometers in 2.5 hours at a constant speed. What is its speed in kilometers per hour?
A 37.5 B 60 C 75 D 375
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Question 87 Topic 2.3 · Apply it
A student's scores on four tests are 80, 85, 90 and 95. What score does the student need on a fifth test for the mean of all five scores to be 88?
A 90 B 88 C 87.5 D 92
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Question 88 Topic 2.3 · Concept check
What is the median of the data set 3, 7, 7, 9, 12, 15?
A 7 B 9 C 8.83 D 8
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Question 89 Topic 2.3 · Data analysis
Students in a class who play a sport and who play an instrument (hypothetical data) Plays an instrument Doesn't play an instrument Total Plays a sport 6 10 16 Doesn't play a sport 8 6 14 Total 14 16 30
A student is chosen at random from those who play a sport. What is the probability that this student also plays an instrument?
A 6/30 B 6/14 C 3/8 D 8/15
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Question 90 Topic 2.3 · Apply it
The equation y = 2.5x + 40 models a student's predicted test score y after studying for x hours. Based on the model, which statement is true?
A A student who studies 0 hours is predicted to score 2.5. B Each additional hour of study is associated with a predicted score 2.5 points higher. C Each additional hour of study adds 40 points to the predicted score. D The highest possible score is 40.
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Question 91 Topic 2.3 · Apply it
In a random sample of 100 students at a school, 60 said they prefer online homework. The school has 1,200 students. Based on the sample, which is the best estimate of the number of students at the school who prefer online homework?
A 720 B 600 C 60 D 1,140
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Question 92 Topic 2.4 · Concept check
Two angles of a triangle measure 50° and 60°. What is the measure of the third angle?
A 110° B 60° C 80° D 70°
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Question 93 Topic 2.4 · Concept check
A right triangle has legs of length 6 and 8. What is the length of the hypotenuse?
A 14 B √28 C 10 D 48
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Question 94 Topic 2.4 · Concept check
What is the area of a circle with a radius of 3?
A 6π B 9π C 3π D 36π
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Question 95 Topic 2.4 · Concept check
A rectangular box is 4 inches long, 5 inches wide and 6 inches tall. What is its volume, in cubic inches?
A 120 B 15 C 60 D 148
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Question 96 Topic 2.4 · Concept check
In right triangle ABC, angle C measures 90°, BC = 3 and AB = 5. What is the value of sin A?
A 4/5 B 3/4 C 5/3 D 3/5
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Question 97 Topic 2.4 · Apply it
A triangle has side lengths 3, 4 and 5. A similar triangle has a longest side of 15. What is the length of the shortest side of the similar triangle?
A 5 B 12 C 9 D 13
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Question 98 Topic 2.4 · Apply it
A ladder 10 feet long leans against a vertical wall. The bottom of the ladder is 6 feet from the base of the wall. How high up the wall does the ladder reach?
A 4 feet B 8 feet C 16 feet D √136 feet
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