📐 SAT Practice Test #64 복습 드릴

Advances in genetics have prompted proposals to recreate some traits of extinct species such as the woolly mammoth. While resurrecting them is an arduous task, fraught with challenges and high costs, the efforts echo conservation’s aims: biodiversity, ecological restoration, and rectifying past human-induced extinctions. This potential reversal of finality stirs the imagination, touching conservation’s deepest level.

During a conference on advancements in renewable energy, an expert emphasized that while numerous technologies show promise, in her estimation, none have yet _______ the efficiency of solar panels — considered by many as the most effective tool we have against the current energy crisis.

Fitzgerald's The Great Gatsby is often remembered for its glitter — the parties, the cars, the shirts spilling from their drawers. But the novel sets that glitter against ______: Gatsby's fortune buys him no standing among the people he wants, his dream collapses on contact with its object, and the narrator leaves New York wanting the world "in uniform and at a sort of moral attention forever."

The leadership of Guwisguwi, also known as John Ross, Principal Chief of the Cherokee Nation, was marked by his _______ response to the Indian Removal Act and the resultant Trail of Tears. Guwisguwi employed petition campaigns or appeals to public opinion alongside legal and diplomatic work with the U.S. government to safeguard Cherokee territory and the welfare of his people during a period of profound hardship and change.

In her 2018 article, Dr. Emily Thompson examines the ways in which enslaved and indentured servants preserved their cultural heritage through music, storytelling, and religious practices. She highlights how these traditions were not only a means of cultural preservation but also served as a form of resistance against the oppressive conditions of slavery and indentured servitude. Thompson presents numerous examples of how African music and oral traditions were adapted and passed down through generations, becoming integral to the cultural identity of their descendants. She also discusses the role of religious practices in maintaining a sense of community and hope among enslaved people.

The process of photosynthesis enables plants to convert light energy into chemical energy. Light is absorbed by chlorophyll, a green pigment in the chloroplasts of plant cells. Through a series of reactions, that energy converts carbon dioxide and water into glucose and oxygen. The glucose fuels the plant's own growth, while the oxygen passes into the atmosphere as a byproduct.

Astronomers using data from the Kepler Space Telescope identified the exoplanet Kepler-442b in 2015. The planet is roughly the size of Earth and orbits within its star's habitable zone, the range of distances at which liquid water could persist on a surface. Those two features have made it one of the more promising known candidates for hosting life, though its great distance from Earth puts direct study of its atmosphere beyond current instruments.

The following text is from Arthur Miller's 1953 play "The Crucible."

PROCTOR: Because it is my name! Because I cannot have another in my life! Because I lie and sign myself to lies! Because I am not worth the dust on the feet of them that hang! How may I live without my name? I have given you my soul; leave me my name!

Sociologist Maria Gonzales and her colleagues surveyed university students across multiple fields of study to understand gender distribution in higher education. Their research aimed to identify the proportion of female students in various academic disciplines and explore any trends or disparities. The data collected revealed notable differences in female representation across fields. For instance, ______

The following text is from Zora Neale Hurston's 1937 novel Their Eyes Were Watching God. The narrator is Janie, reflecting on her life in Eatonville, Florida.

I knowed you wasn't gointuh fork over no pocket money tuh me. Dat's what Ah been waitin' on. Mah young days was one long stretch of 'splainin' tuh do and Ah done forgot all about de bad time you done. Ah done lived Grandma's way, now Ah means tuh live mine.

In Kate Chopin's 1899 novel The Awakening, the protagonist Edna Pontellier comes to see the duties others expect of her not as the framework of her life but as weights on it — each one she sets down leaving her more fully herself: ______

Environmental scientist Dr. Jane Hart argues that coral bleaching thresholds are consistent enough across regions to be used in forecasting reef decline. Bleaching occurs when corals expel the algae living in their tissues under heat stress. To test whether the threshold holds across very different reef systems, Hart's team compared Dr. Samuel Blake's records from the Great Barrier Reef with Dr. Nina Rivera's from the Caribbean, where water chemistry and species composition differ substantially.

Previous research has shown that animal species with a diverse diet tend to adapt better to changing environments than those with a specialized diet. Based on these findings, researchers recently tested a prediction about how the dietary habits of various bird species might influence their adaptability to urban environments. One of these species, the red-winged blackbird, primarily feeds on insects but also consumes seeds and grains. The researchers examined what would happen if the red-winged blackbird's insect prey became scarce in urban areas, and consistent with previous findings, the results showed that _____.

Nanoparticles are microscopic particles ______ among their diverse applications, enhance drug delivery systems by improving bioavailability and targeting specific cells.

What makes the photosynthetic process fascinating in plants? It converts sunlight into chemical ______ chlorophyll absorbs light, the energy will be stored as glucose through a series of biochemical reactions

Studying ecological networks provides insights into biodiversity and sustainability. When ______ species interactions, the dynamics will change as their observations uncover new relationships.

During cellular respiration, cells extract energy from glucose through a series of enzyme-controlled reactions. Glycolysis, the first stage of this process, occurs in the cytoplasm and produces two important ______ and ATP.

Ever wondered why your hands go numb after typing for hours? In individuals with carpal tunnel syndrome, a condition caused by pressure on the median nerve, repetitive motions, which strain the nerve, ______ to tingling sensations and weakness. This common affliction can significantly impact daily activities and productivity.

Water comes in various forms, each with unique properties. In lakes, ______ freshwater and saltwater coexist, supporting diverse ecosystems. Different types, including distilled and mineral water, serve distinct purposes in daily life and industrial applications.

The Large Hadron Collider is one of the major facilities of CERN (the European Organization for Nuclear Research). The collider, known for its ability to accelerate particles to near-light speed, was the focus of a detailed study ______ in the Journal of Particle Physics in March 2015.

The city of Portland, Oregon, has seen significant growth in its technology sector, attracting many startups and established tech companies. As recently as 2021, the number of tech jobs in the city has surged. ________ the city faces challenges in providing affordable housing to accommodate the influx of new residents.

Nutritionist Dr. Aisha Kumar admits she didn't expect much when she started her blog, Healthy Eats Daily, which shares recipes and tips for a balanced diet. "I just wanted a place to share my favorite meals," she says. ______ her blog has now become a go-to resource for health enthusiasts looking for nutritious meal ideas and wellness advice.

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

• A conventional textile fiber that tears must be patched or replaced.
• Some polymers contain reversible chemical bonds, which can re-form after they have been broken.
• In a fabric made from such a polymer, applying heat or light can cause broken bonds to re-form across a tear.
• Fabrics made from these polymers can therefore close small tears without patching.
• The bonds re-form only where the torn edges are held in contact with each other.
• A tear too wide for its edges to touch will not close in this way.

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

• Recent paleontological discoveries suggest that some dinosaurs, including the Tyrannosaurus rex (T. Rex), may have had feathers.
• Fossil evidence shows that many theropod dinosaurs, a group that includes T. Rex, had feathers or feather-like structures.
• Some scientists argue that feathers would have provided insulation and possibly aided in display or camouflage.
• Skeptics point out that there is no direct evidence of feathers on T. Rex fossils, suggesting that if they had feathers, these were not widespread or well-preserved.
• The debate continues as more fossils are discovered and analyzed, with some recent finds showing well-preserved feather imprints on related species.

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

• An electric vehicle produces no exhaust emissions while it is being driven.
• Manufacturing an electric vehicle, and especially its battery, produces more greenhouse gas emissions than manufacturing a comparable gasoline vehicle.
• The emissions associated with charging an electric vehicle depend on how the electricity is generated.
• Charging produces substantially more emissions where electricity comes largely from coal than where it comes from wind, solar, or hydropower.
• A life-cycle comparison accounts for manufacturing, fuel or electricity, and disposal, rather than for driving alone.
• About 3 million electric cars were sold worldwide in 2020, and about 10 million were in use.

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

• Many powdered laundry detergents contain sodium percarbonate, which releases hydrogen peroxide when it dissolves in water.
• Hydrogen peroxide removes stains by breaking down the colored compounds that produce them.
• Hydrogen peroxide bleaches effectively only in hot water.
• A bleach activator is a compound that reacts with hydrogen peroxide in the wash to form a more reactive bleaching agent.
• Tetraacetylethylenediamine, or TAED, is a bleach activator included in many European detergents.
• Detergents containing TAED remove stains in cooler water than detergents that rely on hydrogen peroxide alone.

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

• An ancient Greek theater was an open-air structure with a semicircular seating area built into a hillside.
• The rows of seats rose steeply, so that spectators farther back sat higher than those in front.
• Greek theaters were built of stone, and their shape helped carry performers' voices to the upper rows.
• The Roman amphitheater, by contrast, was a freestanding oval structure with seating all the way around a central arena.
• Some modern concert halls and outdoor performance spaces deliberately adapt the semicircular, steeply raked seating arrangement associated with ancient Greek theaters.

In a physics experiment, researchers aimed to demonstrate that the electron is not an ______ particle without purpose but an integral element of atomic structure, essential to understanding matter at its most fundamental level.

The Italian dressmaker's workroom holds silk from Kyoto, indigo cloth from Kano, and beadwork she commissioned in Oaxaca. Nothing about her training suggested this range—she apprenticed in Florence under a master who worked almost entirely in wool—yet her practice has never been ______ to the materials and silhouettes she was taught.

The university's outdated curriculum was so disconnected from modern realities that the professors teaching there viewed the educational offerings as a ______, undermining the true purpose of higher education.

Martha Schwartz built her reputation on large public parks, where a designer can count on deep soil, established drainage, and room for mature trees. Rooftop commissions offer none of that. Weight limits govern what can be planted, wind scours exposed plantings, and every inch of growing medium must be carried up. Her early rooftop projects revealed how little of her park work ______ to these constraints.

In the four months after the museum opened its exhibit on ancient civilizations, school bookings tripled, the education office logged more public inquiries than in the previous two years combined, and three universities proposed research partnerships. Staff had planned for a modest uptick and found the ______ difficult to accommodate.

Students across the campus celebrated the end of the semester. Although it was a relief to finish the final exams, the mental ______ that resulted from weeks of intense studying was evident, and it would take some time to recover fully.

In examining the impact of urban planning on community health, Dr. Jane Lambosa argues that incorporating green spaces into city designs can significantly improve residents' well-being. Citing numerous studies, she demonstrates that access to parks and recreational areas reduces stress levels, encourages physical activity, and fosters social interactions. In contrast, densely built environments with limited greenery often correlate with higher rates of mental health issues and sedentary lifestyles.

In 1962, the United States conducted a high-altitude nuclear test named "Starfish Prime" over the Pacific Ocean. The explosion created an electromagnetic pulse (EMP) that disrupted electronic systems over a wide area, far beyond the expected range. This unexpected effect highlighted the potential of EMP as a weapon. EMPs are bursts of electromagnetic radiation that can result from nuclear explosions or specialized non-nuclear devices. They can damage or destroy electronic equipment by inducing high voltage and currents. Governments have since developed strategies to protect critical infrastructure from EMP attacks, recognizing the vulnerability of modern technological society to such disruptions.

Text 1

Street trees can reduce summer heat in cities by shading pavement and cooling the air through evaporation from their leaves. Researchers have therefore urged cities to expand tree cover in neighborhoods that experience especially high temperatures.

Text 2

The benefits of urban trees are not limited to temperature. Tree canopies intercept rainfall, and roots help soil absorb water, reducing the amount of stormwater entering drainage systems during heavy rain. These effects can lessen pressure on urban flood-control infrastructure.

A student is researching the total areas of national forests in the United States for an environmental science project. The student wants to compare the total area covered by the Shoshone National Forest in Wyoming with the total areas of other national forests in different states. Looking at the table, the student finds that the area of the Shoshone National Forest is 2,465 square miles, while the area of the Coconino National Forest in Arizona is ______.

The following text is from Lorraine Hansberry’s 1959 play A Raisin in the Sun. Walter Lee Younger often imagines a life beyond his family’s current financial limitations. At one point, his language presents ambition not merely as a list of desires but as a future he can almost perceive physically: _______

In a study conducted by agricultural scientist Dr. Emily Foster, the relationship between monthly rainfall and crop yield was analyzed across four different crops. Dr. Foster's research indicates that crop yields tend to be higher in months with more rainfall. This is illustrated by the finding that ________.

Predicting human physical change over long spans is speculative, since evolution, technology, and environment interact unpredictably. If natural selection continues to dominate, populations in hotter regions might develop more efficient sweat glands. Long-term residence on Mars would introduce a different pressure: at roughly a third of Earth's gravity, bones and muscles bear far less load, and astronauts on much shorter missions already lose bone density and muscle mass. Genetic engineering could override such pressures entirely, allowing traits to be selected rather than inherited.

Dr. Emily Thompson and her team investigated the impact of digital learning tools on student performance in mathematics. They analyzed both quantitative data, such as test scores, and qualitative data, including student feedback on the learning experience. To evaluate the qualitative data, the team assigned each feedback entry a clarity score, reflecting how clearly students expressed their thoughts on the digital tools. After reviewing the research, an educational policymaker argued that the clarity scores of student feedback are unrelated to improvements in student performance.

In regions with limestone bedrock, groundwater can dissolve the rock and create underground cavities that may eventually collapse. Geologists studying urban sinkholes have found that groundwater extraction and land-management practices can affect the development or stability of those cavities. The findings therefore suggest that the presence of vulnerable bedrock does not by itself determine whether serious sinkhole damage will occur; _______

In his acclaimed documentary series, filmmaker Collett explores the impact of social media on modern communication. Through interviews and case studies, he highlights how platforms like Twitter and Facebook have transformed the way people interact, sometimes leading to superficial connections but also enabling global dialogues. Some viewers initially found the focus on negative aspects of social media to be overly pessimistic. However, a media studies professor, during a panel discussion, pointed out that the documentary uses current data and real-life examples to address issues that are very relevant to today’s society, suggesting that ___.

Calligraphy is a beautiful art form that involves creating decorative handwriting. Artists practice calligraphy to express creativity and ______ cultural heritage. Using various tools and techniques, they transform simple letters into intricate works of art.

Schizophrenia is a chronic mental disorder that affects how a person thinks, feels, and behaves. ______ delusions, and disorganized thinking—can be debilitating. Treatment often includes medication and therapy aimed at managing symptoms and improving the quality of life for those affected.

Trees communicate through underground networks using fungi. These networks, connecting roots, allow trees to share nutrients and information, ______ a cooperative community. Trees, relying on these connections, can warn each other about pests, demonstrating their complex and interdependent relationships.

The Nobel Prize ______ annually in recognition of outstanding contributions to various fields, including peace, literature, and sciences. Established by Alfred Nobel, it honors individuals and organizations worldwide for their significant achievements and positive impact on humanity.

Certain gemstones exhibit unusual fluorescence under UV light. ______ reveal unique properties, helping to understand their formation and the geological processes that created them.

Ray Kroc, revolutionizing the food industry with innovative methods, ______ McDonald's into a global empire. His strict operational standards ensured consistent quality and rapid expansion, making McDonald's a household name and a symbol of American culture.

Dystopian novels explore societal collapse and authoritarian regimes. They captivate us with ______ cautionary tales, urging readers to reflect on current issues and consider potential futures shaped by our actions.

The first known use of the English word "robot" is attributed to playwright Karel Čapek in his 1920 play "R.U.R. (Rossum's Universal Robots)." However, Čapek didn't write in English; ______ he wrote in Czech, and the term "robot" was later adopted into English.

According to traditional classifications, each of Wolfgang Amadeus Mozart's operas belongs to one of three distinct genres: opera seria, opera buffa, or singspiel. The opera "The Magic Flute" (1791), ________ is classified as a singspiel, whereas "Don Giovanni" (1787) is classified as an opera buffa.

Though smartphones have revolutionized how we communicate and access information, early models were limited by their battery life. ______ when developing newer generations, engineers focused on creating more efficient processors and larger battery capacities to meet users' increasing demands for longer-lasting devices.

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

• Graphene and diamond are both made entirely of carbon atoms.
• In graphene, the carbon atoms are arranged in a single flat sheet one atom thick.
• In diamond, the carbon atoms are bonded in a rigid three-dimensional framework.
• Graphene conducts electricity well and can be bent without breaking.
• Diamond does not conduct electricity, and it is the hardest naturally occurring material.
• Graphene is used in electronic devices, and diamond is used in cutting and grinding tools.

A multitude of chefs are redefining haute cuisine by fusing culinary traditions from across the globe. French chef Émile Bernard skillfully merges classic Provençal dishes with avant-garde gastronomy on his menu at La Lumière. Likewise, Peruvian chef Sofia Quispe ________ Andean flavors with modernist techniques in her celebrated restaurant Andes Fusion.

Despite significant advancements in technology, the application of artificial intelligence (AI) in marketing strategies is not yet ________ due to concerns over data privacy and unpredictability of consumer behavior. While AI offers the potential for highly personalized campaigns, these limitations have prevented its full-scale deployment in crafting marketing initiatives.

The emergence of installation art has dramatically transformed from static displays to dynamic spaces that engage and involve the observer, marking a shift in the very definition of art viewership. While traditional art forms observed a clear demarcation between the piece and the public, modern installations, such as Yayoi Kusama's 'Infinity Rooms', hardly ______ spectator participation, creating a symbiotic relationship between the artwork and the audience.

The discipline of dramaturgy is critical to the world of theater, guiding the development and interpretation of a performance. Although some may assume that dramaturgs merely assist with scripts, their role is actually quite ______. They engage in research, collaborate with the production team, and facilitate audience understanding, proving essential in bringing depth and context to the stage.

The increasing sophistication of neural interfaces could blur the line between human and machine. Imagine brain implants that augment our senses, memories, or even connect us directly to vast information networks. These technological integrations could alter our physical appearance and fundamentally redefine what it means to be human. Dr. Sarah Reynolds, a leading researcher in neural technology, emphasizes the potential for these interfaces to revolutionize medical treatments, particularly for neurological disorders. However, she also warns of the ethical and social implications, such as issues of consent, privacy, and the potential for inequality in access to such advanced technologies. Addressing these challenges will be crucial as we move toward a future where neural interfaces become commonplace.

Research in post-quantum cryptography focuses on developing cryptographic systems that are secure against the potential capabilities of quantum computers. Traditional cryptographic algorithms, like RSA and ECC, rely on the computational difficulty of problems such as integer factorization, which quantum computers could solve efficiently using algorithms like Shor’s algorithm. Post-quantum cryptography aims to devise new algorithms based on mathematical problems that remain hard even for quantum computers, thereby ensuring the security of digital communication in the approaching quantum computing era.​​​​​​​

Early accounts of chimpanzee society often organized observations around rank, treating aggression as the main force shaping access to food and mates. Later field observations documented coalitions, food sharing, reconciliation, and other cooperative behavior that rank alone could not explain. Rather than discard hierarchy, some primatologists now treat it as one process within a broader social system in which cooperation can also alter an individual’s access to resources and allies.

Text 1

Some Paleolithic cave images incorporate cracks, bulges, and contours already present in the rock. Archaeologists disagree about whether artists selected those surfaces because the features suggested particular animals or whether the artists chose a subject first and then adapted it to the wall. Because the surviving images cannot reveal the order of those decisions, neither explanation has been established.

Text 2

Pareidolia is the tendency to perceive a familiar form in an ambiguous pattern, such as seeing a face in clouds. The perceived form can be influenced by context and expectation even when the observer knows that the underlying pattern was not intentionally created.

In "The Trial" by Franz Kafka, written in 1914, the protagonist Josef K. struggles with the ambiguity and abstract nature of his legal situation, feeling overwhelmed and confused by the process: ______

In the German language, a member of the Germanic family, the term “netz” directly translates to “net” in English and is used colloquially to refer to the internet. This illustrates a direct borrowing from English, reflecting the pervasive influence of English in technological domains. In contrast, the Mandarin term “网” (wǎng), though translated as “net (internet),” does not stem from English but rather from an indigenous development within the Sino-Tibetan language family, leveraging existing linguistic resources. Similarly, ______

The use of the C-clef has been a subject of debate among musicologists and composers. Music historian Elena Vasquez found that the revival of the C-clef in modern compositions can aid in bridging the gap between historical and contemporary music, fostering a deeper appreciation of compositional techniques from different eras. However, at least in educational settings where students are primarily accustomed to the G and F clefs, the introduction of the C-clef can lead to confusion and hinder the learning process: students would first need to master G and F clefs. Thus, Vasquez suggests that ______

By the time scientists began investigating whether Mycobacterium leprae could aid in the development of treatments for chronic wounds and neurodegenerative diseases, researchers ______ that the bacterium could stimulate cellular regeneration.

The mathematician John von Neumann, along with contemporaries such as Alan Turing and Kurt Gödel, ______ commonly associated with the development of computer science, a field that emerged in the mid-20th century and revolutionized our understanding of computation, algorithms, and artificial intelligence through groundbreaking theoretical work.

The field of sign language linguistics encompasses American Sign Language (ASL), British Sign Language (BSL), and over 300 other sign languages globally, making it a diverse area of study and of keen interest to ______ of Gallaudet University.

The stream-of-consciousness technique explores characters' inner thoughts and emotions. It immerses us in ______ mental landscapes, revealing complex layers of their psyche and enhancing narrative depth.

The rise of immersive theatre, interactive performance, and digital storytelling demands new skills from dramaturgs who are experts in the theory and practice of dramatic composition. Expertise in integrating new technologies; exploring the dramaturgical implications of virtual reality, a rapidly evolving ______ an enhanced real-world experience, is essential. Dramaturgs must adapt to these innovations, shaping the future of performance art.

With many medical breakthroughs, like penicillin, scientists quickly developed treatments after the initial discovery — but this wasn’t the case with all diseases. ______ the development of an effective vaccine took decades. The polio vaccine, for instance, was researched from the early 1900s but not perfected until 1955

In Sarah Johnson’s 2019 essay "Shades of Memory," the author examines a photograph that profoundly moved her: Dorothea Lange’s iconic 1936 image Migrant Mother. The photograph, depicting a mother’s despair during the Great Depression, anchors Johnson’s discussion of resilience and historical trauma. ______ through her analysis of Lange’s work, Johnson’s essay illuminates the interplay between visual art and socio-historical commentary.

Technological advancement depends on substantial investment in research. A thriving innovation ecosystem also requires strong intellectual property protections and a regulatory framework that encourages competition and collaboration. ______ public-private partnerships provide valuable support, yet the ultimate determinant is public trust in scientific institutions. Without such trust, even the most promising technologies may ultimately fail.

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

• The Silk Roads were overlapping land and sea routes that linked communities across Asia, Europe, and parts of Africa.
• Merchants carried goods such as silk, ceramics, and spices along sections of these routes.
• Most merchants traded within a region they knew well rather than traveling the length of the networks.
• Goods were bought and sold repeatedly at trading centers along the routes, passing from one merchant to the next.
• Silk produced in China was sold in Mediterranean markets.
• Religious teachings and technologies such as papermaking also spread along these routes.

The questions in this section address a number of important math skills.

Use of a calculator is permitted for all questions. A reference sheet, calculator, and these directions can be accessed throughout the test.

Unless otherwise indicated:

• All variables and expressions represent real numbers.
• Figures provided are drawn to scale.
• All figures lie in a plane.
• The domain of a given function is the set of all real numbers for which is a real number.

For multiple-choice questions, solve each problem and choose the correct answer from the choices provided.

Each multiple-choice question has a single correct answer.

For student-produced response questions, solve each problem and enter your answer as described below.

The questions in this section address a number of important math skills.

Use of a calculator is permitted for all questions. A reference sheet, calculator, and these directions can be accessed throughout the test.

Unless otherwise indicated:

• All variables and expressions represent real numbers.
• Figures provided are drawn to scale.
• All figures lie in a plane.
• The domain of a given function is the set of all real numbers for which is a real number.

For multiple-choice questions, solve each problem and choose the correct answer from the choices provided.

Each multiple-choice question has a single correct answer.

For student-produced response questions, solve each problem and enter your answer as described below.

• If you find more than one correct answer, enter only one answer.
• You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer.
• If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
• If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
• If your answer is a mixed number (such as 3½), enter it as an improper fraction (7/2) or its decimal equivalent (3.5).
• Don't enter symbols such as a percent sign, comma, or dollar sign.

The questions in this section address a number of important math skills.

Use of a calculator is permitted for all questions. A reference sheet, calculator, and these directions can be accessed throughout the test.

Unless otherwise indicated:

• All variables and expressions represent real numbers.
• Figures provided are drawn to scale.
• All figures lie in a plane.
• The domain of a given function is the set of all real numbers for which is a real number.

For multiple-choice questions, solve each problem and choose the correct answer from the choices provided.

Each multiple-choice question has a single correct answer.

For student-produced response questions, solve each problem and enter your answer as described below.

The questions in this section address a number of important math skills.

Use of a calculator is permitted for all questions. A reference sheet, calculator, and these directions can be accessed throughout the test.

Unless otherwise indicated:

• All variables and expressions represent real numbers.
• Figures provided are drawn to scale.
• All figures lie in a plane.
• The domain of a given function is the set of all real numbers for which is a real number.

For multiple-choice questions, solve each problem and choose the correct answer from the choices provided.

Each multiple-choice question has a single correct answer.

For student-produced response questions, solve each problem and enter your answer as described below.

The questions in this section address a number of important math skills.

Use of a calculator is permitted for all questions. A reference sheet, calculator, and these directions can be accessed throughout the test.

Unless otherwise indicated:

• All variables and expressions represent real numbers.
• Figures provided are drawn to scale.
• All figures lie in a plane.
• The domain of a given function is the set of all real numbers for which is a real number.

For multiple-choice questions, solve each problem and choose the correct answer from the choices provided.

Each multiple-choice question has a single correct answer.

For student-produced response questions, solve each problem and enter your answer as described below.

The questions in this section address a number of important math skills.

Use of a calculator is permitted for all questions. A reference sheet, calculator, and these directions can be accessed throughout the test.

Unless otherwise indicated:

• All variables and expressions represent real numbers.
• Figures provided are drawn to scale.
• All figures lie in a plane.
• The domain of a given function is the set of all real numbers for which is a real number.

For multiple-choice questions, solve each problem and choose the correct answer from the choices provided.

Each multiple-choice question has a single correct answer.

For student-produced response questions, solve each problem and enter your answer as described below.

The questions in this section address a number of important math skills.

Use of a calculator is permitted for all questions. A reference sheet, calculator, and these directions can be accessed throughout the test.

Unless otherwise indicated:

• All variables and expressions represent real numbers.
• Figures provided are drawn to scale.
• All figures lie in a plane.
• The domain of a given function is the set of all real numbers for which is a real number.

For multiple-choice questions, solve each problem and choose the correct answer from the choices provided.

Each multiple-choice question has a single correct answer.

For student-produced response questions, solve each problem and enter your answer as described below.

The questions in this section address a number of important math skills.

Use of a calculator is permitted for all questions. A reference sheet, calculator, and these directions can be accessed throughout the test.

Unless otherwise indicated:

• All variables and expressions represent real numbers.
• Figures provided are drawn to scale.
• All figures lie in a plane.
• The domain of a given function is the set of all real numbers for which is a real number.

For multiple-choice questions, solve each problem and choose the correct answer from the choices provided.

Each multiple-choice question has a single correct answer.

For student-produced response questions, solve each problem and enter your answer as described below.

• If you find more than one correct answer, enter only one answer.
• You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer.
• If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
• If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
• If your answer is a mixed number (such as 3½), enter it as an improper fraction (7/2) or its decimal equivalent (3.5).
• Don't enter symbols such as a percent sign, comma, or dollar sign.

The questions in this section address a number of important math skills.

Use of a calculator is permitted for all questions. A reference sheet, calculator, and these directions can be accessed throughout the test.

Unless otherwise indicated:

• All variables and expressions represent real numbers.
• Figures provided are drawn to scale.
• All figures lie in a plane.
• The domain of a given function is the set of all real numbers for which is a real number.

For multiple-choice questions, solve each problem and choose the correct answer from the choices provided.

Each multiple-choice question has a single correct answer.

For student-produced response questions, solve each problem and enter your answer as described below.

• If you find more than one correct answer, enter only one answer.
• You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer.
• If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
• If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
• If your answer is a mixed number (such as 3½), enter it as an improper fraction (7/2) or its decimal equivalent (3.5).
• Don't enter symbols such as a percent sign, comma, or dollar sign.

The questions in this section address a number of important math skills.

Use of a calculator is permitted for all questions. A reference sheet, calculator, and these directions can be accessed throughout the test.

Unless otherwise indicated:

• All variables and expressions represent real numbers.
• Figures provided are drawn to scale.
• All figures lie in a plane.
• The domain of a given function is the set of all real numbers for which is a real number.

For multiple-choice questions, solve each problem and choose the correct answer from the choices provided.

Each multiple-choice question has a single correct answer.

For student-produced response questions, solve each problem and enter your answer as described below.

• If you find more than one correct answer, enter only one answer.
• You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer.
• If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
• If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
• If your answer is a mixed number (such as 3½), enter it as an improper fraction (7/2) or its decimal equivalent (3.5).
• Don't enter symbols such as a percent sign, comma, or dollar sign.

The questions in this section address a number of important math skills.

Use of a calculator is permitted for all questions. A reference sheet, calculator, and these directions can be accessed throughout the test.

Unless otherwise indicated:

• All variables and expressions represent real numbers.
• Figures provided are drawn to scale.
• All figures lie in a plane.
• The domain of a given function is the set of all real numbers for which is a real number.

For multiple-choice questions, solve each problem and choose the correct answer from the choices provided.

Each multiple-choice question has a single correct answer.

For student-produced response questions, solve each problem and enter your answer as described below.

• If you find more than one correct answer, enter only one answer.
• You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer.
• If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
• If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
• If your answer is a mixed number (such as 3½), enter it as an improper fraction (7/2) or its decimal equivalent (3.5).
• Don't enter symbols such as a percent sign, comma, or dollar sign.

The questions in this section address a number of important math skills.

Use of a calculator is permitted for all questions. A reference sheet, calculator, and these directions can be accessed throughout the test.

Unless otherwise indicated:

• All variables and expressions represent real numbers.
• Figures provided are drawn to scale.
• All figures lie in a plane.
• The domain of a given function is the set of all real numbers for which is a real number.

For multiple-choice questions, solve each problem and choose the correct answer from the choices provided.

Each multiple-choice question has a single correct answer.

For student-produced response questions, solve each problem and enter your answer as described below.

• If you find more than one correct answer, enter only one answer.
• You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer.
• If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
• If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
• If your answer is a mixed number (such as 3½), enter it as an improper fraction (7/2) or its decimal equivalent (3.5).
• Don't enter symbols such as a percent sign, comma, or dollar sign.

The questions in this section address a number of important math skills.

Use of a calculator is permitted for all questions. A reference sheet, calculator, and these directions can be accessed throughout the test.

Unless otherwise indicated:

• All variables and expressions represent real numbers.
• Figures provided are drawn to scale.
• All figures lie in a plane.
• The domain of a given function is the set of all real numbers for which is a real number.

For multiple-choice questions, solve each problem and choose the correct answer from the choices provided.

Each multiple-choice question has a single correct answer.

For student-produced response questions, solve each problem and enter your answer as described below.

• If you find more than one correct answer, enter only one answer.
• You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer.
• If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
• If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
• If your answer is a mixed number (such as 3½), enter it as an improper fraction (7/2) or its decimal equivalent (3.5).
• Don't enter symbols such as a percent sign, comma, or dollar sign.

The questions in this section address a number of important math skills.

Use of a calculator is permitted for all questions. A reference sheet, calculator, and these directions can be accessed throughout the test.

Unless otherwise indicated:

• All variables and expressions represent real numbers.
• Figures provided are drawn to scale.
• All figures lie in a plane.
• The domain of a given function is the set of all real numbers for which is a real number.

For multiple-choice questions, solve each problem and choose the correct answer from the choices provided.

Each multiple-choice question has a single correct answer.

For student-produced response questions, solve each problem and enter your answer as described below.

• If you find more than one correct answer, enter only one answer.
• You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer.
• If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
• If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
• If your answer is a mixed number (such as 3½), enter it as an improper fraction (7/2) or its decimal equivalent (3.5).
• Don't enter symbols such as a percent sign, comma, or dollar sign.

The questions in this section address a number of important math skills.

Use of a calculator is permitted for all questions. A reference sheet, calculator, and these directions can be accessed throughout the test.

Unless otherwise indicated:

• All variables and expressions represent real numbers.
• Figures provided are drawn to scale.
• All figures lie in a plane.
• The domain of a given function is the set of all real numbers for which is a real number.

For multiple-choice questions, solve each problem and choose the correct answer from the choices provided.

Each multiple-choice question has a single correct answer.

For student-produced response questions, solve each problem and enter your answer as described below.

• If you find more than one correct answer, enter only one answer.
• You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer.
• If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
• If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
• If your answer is a mixed number (such as 3½), enter it as an improper fraction (7/2) or its decimal equivalent (3.5).
• Don't enter symbols such as a percent sign, comma, or dollar sign.

The questions in this section address a number of important math skills.

Use of a calculator is permitted for all questions. A reference sheet, calculator, and these directions can be accessed throughout the test.

Unless otherwise indicated:

• All variables and expressions represent real numbers.
• Figures provided are drawn to scale.
• All figures lie in a plane.
• The domain of a given function is the set of all real numbers for which is a real number.

For multiple-choice questions, solve each problem and choose the correct answer from the choices provided.

Each multiple-choice question has a single correct answer.

For student-produced response questions, solve each problem and enter your answer as described below.

• If you find more than one correct answer, enter only one answer.
• You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer.
• If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
• If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
• If your answer is a mixed number (such as 3½), enter it as an improper fraction (7/2) or its decimal equivalent (3.5).
• Don't enter symbols such as a percent sign, comma, or dollar sign.

The questions in this section address a number of important math skills.

Use of a calculator is permitted for all questions. A reference sheet, calculator, and these directions can be accessed throughout the test.

Unless otherwise indicated:

• All variables and expressions represent real numbers.
• Figures provided are drawn to scale.
• All figures lie in a plane.
• The domain of a given function is the set of all real numbers for which is a real number.

For multiple-choice questions, solve each problem and choose the correct answer from the choices provided.

Each multiple-choice question has a single correct answer.

For student-produced response questions, solve each problem and enter your answer as described below.

• If you find more than one correct answer, enter only one answer.
• You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer.
• If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
• If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
• If your answer is a mixed number (such as 3½), enter it as an improper fraction (7/2) or its decimal equivalent (3.5).
• Don't enter symbols such as a percent sign, comma, or dollar sign.