If f(1) = -4 and f(5) = 12, what is the value of the y-intercept of the function f(x)?

The average score in a high school's French entrance exam was 65%. Three new students appeared for the entrance exam and scored 25%, 45%, and 70%; the new average score fell to 60%. How many students had taken the entrance exam before these three students?

3y - 2x = 1 2y + 3x = 1 Using the system of equations, what is the value of 5x - y?

The function c(x) represents the total cost of a company. The function represents the variable costs and fixed costs of the company. cx = x² - 750x + 90,000, where x represents the number of units produced by the company. How many units would the company have to produce to incur a minimum total cost?

What is the value of 8/3 π radians in degrees?

|2x - 5| less than 3 How many integer solutions does the system above have?

3y + 5x = 15 What is the x-intercept of the equation of the line shown above?

If r and q are solutions to 3x² + 6x - 21 = 0, what is the value of r + q?

Which of the following is equivalent to 7w(px + yz)?

A cylinder with an open top has a radius of 14cm and a height of 10cm. What is the value of the surface area of the cylinder?

A study was conducted on students in a summer class in city W. The study showed that 4 in 5 students in the summer class showed an improvement in scores in their opening exam. Which of the following could be concluded from the survey?

A circle has a radius of 6cm. If a sector in the circle has an area of 7.5, what is the value of the angle that subtends the sector at the center in radians?

There are 54 animals (either dogs, cats, or pigs) on a certain Saturday in a park. If there are thrice as many dogs as there are cats and half as many pigs as there are cats on that day. How many dogs were in the park?

As used in the text, what does the word swam most nearly mean?

Initially, upon entering the United States in the 1900s, the majority of European immigrants had a lower education level than the U.S. average. However, surveys ____ from 1940-2017, show that European immigrants advanced further in their education by the third generation than United States-born whites. Which choice completes the text with the most logical and precise word or phrase?

To avoid conflict with incoming Europeans attempting to colonize North America, the Cherokee nation ____ many of the settler's culture, including language, religion, and economics. Despite this, when gold was discovered in their territory, the Indian Removal Act was passed in 1830 to remove the tribe from their lands and gain access to their resources. Which choice completes the text with the most logical and precise word or phrase?

Smartwatches and fitness trackers currently available to the public claim to be able to provide data on VO2max, a measurement of an individual's fitness level that indicates heart disease and mortality risk. However, whether or not these measurements are accurate is still unproven. Meanwhile, Cambridge developed a model that can provide more accurate tracking of one's heart rate and can also monitor fitness changes leading to better indications of health risks. Which choice best states the main purpose of the text?

The following text is from Mark Twain's 1881 novel, The Prince and the Pauper. "In the ancient city of London, on a certain autumn day in the second quarter of the sixteenth century, a boy was born to a poor family of the name of Canty, who did not want him. On the same day another English child was born to a rich family of the name of Tudor, who did want him. All England wanted him too. England had so longed for him, and hoped for him, and prayed God for him, that, now that he was really come, the people went nearly mad for joy. Mere acquaintances hugged and kissed each other and cried." Which choice best states the function of the underlined sentence in the text as a whole?

Researchers have found what they believe to be a cause behind mice being motivated to exercise: gut microbes. The specific molecules in these microbes appear to stimulate the desire in the brain to run and continue running. It has been postulated that if this bacteria could be given to people in pill form, they too could experience the same motivation to exercise. Which choice best states the main purpose of the text?

Text 1 In his youth, Benjamin Franklin learned that many considered him so unpleasant they would cross the street to avoid him. Specifically, it was his arrogance and aggressive speech that was off-putting. Franklin determined to focus on self-development by creating a list of thirteen virtues he would practice. Later, he would become an ambassador to France, gaining French support during the American Revolution. Clearly, these habits led to an improved man. Text 2 The following lists virtues found in The Autobiography of Benjamin Franklin, Part II by Benjamin Franklin. 1. Silence Speak not but what may benefit others or yourself; avoid trifling conversation. 2. Order Let all your things have their places; let each part of your business have its time. 3. Resolution Resolve to perform what you ought; perform without fail what you resolve. 4. Frugality Make no expense but to do good to others or yourself. Based on the texts, which virtue of Text 2 would the author or Text 1 theorize was the most influential in Franklin's success as a French ambassador?

The following text is from Sandra Cisnero's 1983 novel entitled, The House on Mango Street. In the novel, the narrator is a young girl who lives in a house with her family on Mango Street. "One day, I will pack my bags of books and paper. One day, I will say goodbye to Mango. I am too strong for her to keep me here forever. One day, I will go away. Friends and neighbors will say, 'What happened to that Esperanza? Where did she go with all those books and paper? Why did she march so far away?' They will not know I have gone away to come back. For the ones I left behind. For the ones who cannot out." What is the main idea of the text?

While Yiddish is no longer spoken in many parts of the world, it was once a very well-known language spoken by Central and Eastern European Jewish communities. The language itself derives predominantly from German and Hebrew, but was also influenced by Aramaic, Slavic, and Romance languages. It is a widely accepted theory that it originated in Germany in the 10th Century and spread throughout European countries as Jews migrated as a result of the Bubonic Plague and the persecution they faced during the Crusades. Which choice best states the main idea of the text?

I Know Why the Caged Bird Sings is a 1969 novel written by Maya Angelou. In the novel, the main character struggles to accept her African American race while growing up in the Southern United States. Which quotation from I Know Why the Caged Bird Sings most effectively illustrates this claim?

In her essay entitled, "Slouching Towards Bethlehem," Joan Didion describes her experiences in California during the 1960s and 1970s while proving a darker side of this period existed even though it is often admired for its claimed pursuit of peace and love. Which quotation from "Slouching Towards Bethlehem" most effectively illustrates the claim?

Stereotypical female parts are written into several of William Shakespeare's plays who often behave in manners that are unflattering towards that gender. For instance, the hard-biting nag is represented by Katherina in The Taming of the Shrew; the chaste innocent is displayed in Romeo and Juliet by the title character, Juliet; and the villain can be seen in roles like Tamora in Titus Andronicus. ____ Which choice most logically completes the text?

To better understand people living with PTSD, laboratory experiments conducted on mice determined that the brain stores remote fear memories from the past permanently. Due to the connections between memory neurons in the prefrontal cortex, the brain can hold onto distressing experiences from a few months to decades ago. These results are expected to contribute ____. Which choice most logically completes the text?

The following text is from the short story Marigolds written by Eugenia Collier in 1969. "Miss Lottie's marigolds were perhaps the strangest part of the picture. Certainly, they did not fit in with the crumbling decay of the rest of her yard. Beyond the dusty brown yard, in front of the sorry gray house, rose suddenly and shockingly a dazzling strip of bright blossoms, clumped together in enormous mounds, warm and passionate and sun-golden. The old black witch-woman worked on them all summer, every summer, down on her creaky knees, weeding and cultivating and arranging, while the house crumbled and John Burke rocked. For some perverse reason, we children hated those marigolds. They interfered with the perfect ugliness of the place; they were too beautiful; they said too much that we could not understand; they did not make sense." According to the text, what is true about Miss Lottie's marigolds?

The Greek philosopher Aristotle had ideas that would have substantial influence thousands of years after he taught ____ American Framers would use his philosophies like government moderation, the rule of law, and citizen rights when writing the United States Constitution. Which choice completes the text so that it conforms to the conventions of Standard English?

To divorce his first wife and marry Anne Boylyn, King Henry VIII of England separated from the Catholic Church in 1534. He then established his own religion, the Church of England, which would also become known as Protestantism. This decision would send England into centuries of turmoil as ____ some Catholic and some Protestant, would enforce their preferred religion and persecute their subjects if they did not follow suit. Which choice completes the text so that it conforms to the conventions of Standard English?

In many of Charles Dickens' writings, he explored themes of the social inequality he was witnessing during the Victorian Era. In his novel, Oliver Twist, he focused on the plight of orphans; in Hard Times he ____ the struggle of the working class; and in Bleak House, Dickens revealed the injustice of the courts that displayed favoritism to the upper classes. Ultimately, he used his skill as a writer to make a living and as a source of social commentary for Victorian readers. Which choice completes the text so that it conforms to the conventions of Standard English?

Theories have been put forth about what most influences our cultural ____ experience, or environment. Of the three options, the findings suggest that family background is the strongest determinant in molding an individual's cultural preferences. Which choice completes the text so that it conforms to the conventions of Standard English?

Signs of red paint were found on skulls from ____ Valley dating back to somewhere between 1000 and 1825 C.E. Of the twenty-five discovered skulls, the majority painted upon were male, though a few were the bones of females and children. Which choice completes the text so that it conforms to the conventions of Standard English?

Bladder cancer is becoming more treatable due in part to AI algorithms that can both diagnose the disease and predict the outcome. AI can be used to identify tumors, diagnose the stage, predict the likelihood of ____ determine survival chance. Which choice completes the text so that it conforms to the conventions of Standard English?

There is a common misconception that all cats detest ____ fishing cat, Prionailurus viverrinus, proves this assumption is false. This wild cat that lives in Southeastern Asia can not only swim long distances but also relies on fish for roughly 75 percent of its diet. Which choice completes the text so that it conforms to the conventions of Standard English?

The Victorian Era is a period named for its ruler, Queen Victoria of England. ____ she reigned from 1837-1901, the era corresponds roughly with the years of 1820-1914. The era is characterized by many features that were modeled after its namesake including conservatism, expansion, and invention. Which choice completes the text with the most logical transition?

India is one of the oldest still-existing civilizations in the world today dating back over 4,500 years. Over the years, it has contributed significant achievements in the field of medicine, mathematics, and architecture. ____ until recently, Western societies have not always looked upon India with approval. Which choice completes the text with the most logical transition?

While researching a topic, a student has taken the following notes: - In 79 C.E., the stratovolcano Mt. Vesuvius erupted near the Roman city of Pompeii. - Herculaneum and other cities by the volcano were also affected by the explosion. - There were several earthquakes in the months preceding the eruption. - Nearby residents were not concerned as earthquakes were a common occurrence and it was not known that Mt. Vesuvius was a volcano. - On the day of the eruption, a large plume of ash was seen coming out of the volcano. - Later that day, molten rock and ash flew into the nearby cities destroying buildings and making it hard to breathe. - The pyroclastic flow and damage from the volcano killed 2,000 people in total. The student wants to demonstrate the tragedy caused by the eruption of Mt. Vesuvius. Which choice most effectively uses the relevant information from the notes to accomplish this goal?

While researching a topic, a student has taken the following notes: - Ancient Egypt created one of the earliest peace treaties ever recorded to end the conflict between their nation and the Hittites. - Egyptian women had many rights including the ability to serve in government, participate in juries, and buy property. - Workers went on strike when they felt as if they were not being fairly treated and were often rewarded for letting their grievances be known. - The pharaohs were viewed as descendants of their Egyptian gods. - Approximately 118 pyramids were built by the ancient Egyptians. - Ancient Egypt was divided into three kingdoms from 3100 B.C.E.–332 C.E. – Old, Middle, and New. The student wants to explain how ancient Egypt advocated for human rights. 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: - Microplastics are small pieces of plastic that are less than 5 mm in length. - In the past 20 years, the presence of microplastics on the ocean seafloor has tripled. - These microplastics do not degrade once they reach the ocean floor since they are no longer exposed to sunlight and oxygen. - Microplastics can affect marine life by limiting food intake, inhibiting growth, and causing abnormal behavior. - Microplastics contain harmful chemicals like phthalates and bisphenol. The student wants to demonstrate the damage caused by microplastics on the ocean floor. Which choice most effectively uses relevant information from the notes to accomplish this goal?

A mother's mitochondria, an organelle found in many of the body's cells, may be able to help her ailing children. A suggestion has been put forth to soak the blood cells of children with mitochondrial disease in the mother's healthy mitochondria. As early research shows ____ follow-up clinical trials will follow. Which choice completes the text with the most logical and precise word or phrase?

Videoconferencing through platforms like Zoom and Google Hangouts has become a necessary form of communication in light of a greater move toward remote work. Along with this trend, a ____ has developed which has become known as "videoconferencing fatigue," resulting from a lack of work-life balance and family conflicts while working from home. Which choice completes the text with the most logical and precise word or phrase?

American painter Georgia O'Keeffe was ____ for her beautiful and bright depictions of flowers. Though these gained her fame and recognition, a biographical essay of her life written by Joan Didion, reflects the idea that O'Keeffe may have been frustrated by the constant demand from the public and her contemporaries to paint more flowers, when she was capable of painting a wider variety of objects and landscapes. Which choice completes the text with the most logical and precise word or phrase?

Rococo art spread during the 1730s in Paris and was characterized by its pastel colors, depictions of frivolous scenes, ethereal atmosphere, and display of the aristocratic lifestyle. While these depictions were well-liked for a time, their popularity waned while the disparity among French classes created tension. Eventually, this style fell out of grace completely once the French Revolution began, and the lower classes revolted, resenting the difficult lifestyle they were forced to endure while the upper classes enjoyed a leisurely existence. Which choice best states the main purpose of the text?

An experimental gene-editing therapy that alters the DNA of donor cells has proven effective in treating leukemia. The first patient to be treated with this therapy, a 13-year-old girl who had acute lymphoblastic leukemia, is in remission after receiving the genetically modified T-cells. Though she still needs to be closely monitored, six months after receiving the treatment she still had no detectable cancer in her body. Which choice best states the function of the underlined sentence in the text as a whole?

Scholars have analyzed the period of the Italian Renaissance (approximately 1350-1550 C.E.) for a number of different factors including its cause. This era is particularly known for its increased interest in the arts, literature, and philosophy of ancient Greece and Rome, with many of its scholars becoming known as humanists. As a result, numerous experts believe that one of the most significant contributions to the growing love of individual learning during this time period can be traced back to the invention of the printing press by Johannes Gutenberg. After its creation, over the coming years, movable type allowed for the production of multiple copies of books that could be bought, sold, and distributed across Europe. Which choice best states the main purpose of the text?

Text 1 Australian bats have experienced both food shortage and habitat loss due to deforestation and climate change. This scarcity has led to bats relocating to urban and agricultural settings where they can infect intermediate hosts with the Hendra virus. From there, the virus can be spread to humans living closer to the bats, proving that climate change is a danger to not only wildlife but also humanity. Text 2 The Hendra virus was first discovered in infected horses in Australia during the 1990s. Meanwhile, a horse trainer experienced flu-like symptoms and was diagnosed with the virus, later passing away from the illness. In the years following, more outbreaks occurred with at least seven people infected and four others dying from the disease. If humans experience further exposure to the disease it will likely result in more deaths. Based on the texts, how would the author of Text 2 most likely respond to the theory discussed in Text 1?

Text 1 After the American Revolution, the first wave of feminism gained popularity as proponents urged that women's suffrage must exist if the nation were to be equal. Many of these feminists also began to argue for abolition of slavery. Some have theorized the reason these two injustices were supported by many of the same advocates was because both were associated with freedom and equality. Text 2 Many early feminists such as Susan B. Anthony and Lucretia Coffin Mott argued for a woman's right to vote and for an end to slavery. In her speech, The Law of Progress (1848), Mott argued that though slavery was increasing in America, people could still take heart that racial equality was beginning to spread in other countries as slaves were being freed. Mott spent much of her life supporting freedom for her own sex and for the enslaved peoples of America. Based on these texts, how would Mott and her peers (Text 2) most likely view the theories presented in Text 1?

Archeologist Thomas Rune Knudsen led a team that discovered remnants of a Viking-era hall that likely dates back to the mid-'900s C.E. He theorizes the area the hall was found on belonged to a family whose name is engraved on a runestone nearby. He anticipates evidence of adjacent houses will be found, along with land that was farmed. Which choice best states the main idea of the text?

The following text is from Margaret Mitchell's 1936 novel, Gone with the Wind. Scarlett O' Hara is the daughter of a Southern family in Georgia before the start of the American Civil War. "Scarlett O'Hara was not beautiful, but men seldom realized it when caught by her charm as the Tarleton twins were. In her face, were too sharply blended, the delicate features of her mother, a Coast aristocrat of French descent, and the heavy ones of her florid Irish father. But it was an arresting face, pointed of chin, square of jaw. Her eyes were pale green without a touch of hazel, starred with bristly black lashes and slightly tilted at the ends. Above them, her thick black brows slanted upward, cutting a startling oblique line in her magnolia-white skin––that skin so prized by Southern women and so carefully guarded with bonnets, veils, and mittens against hot Georgia suns." Which choice best reflects the main idea of the text?

"The Road Not Taken" is a poem written by Robert Frost in 1915. The poem reflects on the theme that the decisions one makes can have a far-reaching impact on one's future. Which quotation from the poem most effectively reflects the theme?

Studies have found that students who do not get enough sleep are at a higher risk for a number of health problems including obesity and diabetes, among other diseases and issues. Furthermore, the CDC found that anywhere between 30-40% of students are not getting the recommended amount of sleep. Despite this, most schools start the school day before 8:30 a.m. These findings imply that ____ Which choice most logically completes the text?

Between 2011 and 2019, the U.S. dollar appreciated by approximately 23 percent and has continued this trend in the years following. Factors that ____ to this rise include global investing, the U.S. central bank policy, and investor demands leaning towards the U.S. Which choice completes the text so that it conforms to the conventions of Standard English?

Roughly 70 percent of Nigerian inmates are still awaiting trial. Some theorize that creating a portal system with a stored database would speed up this process due to its easy access, available materials related to the trials, and ability ____ cases. Which choice completes the text so that it conforms to the conventions of Standard English?

Previously, geologists thought the Bering Land Bridge emerged earlier in the last Ice Age. Recent studies place it much later, in the Ice Age known as the Last Glacial Maximum, ____ around 35,700 years ago. Which choice completes the text so that it conforms to the conventions of Standard English?

A new method for creating crystalline materials using two or more elements ____ by chemists. By using these elements, one of which cannot be metal, they can produce improved superconductors, batteries, magnets, and more. Which choice completes the text so that it conforms to the conventions of Standard English?

Author Jean Craighead George's time in the Alaskan wilderness observing the language of wolves influenced her award-winning novel, Julie of the Wolves. Her first-hand experience with these animals taught her of their pack mentality and the non-verbal communication they use to establish order. This was also noted by her main ____ whose life was saved by these lessons while she was lost in the tundra. Which choice completes the text so that it conforms to the conventions of Standard English?

The stories of Greek mythology date back to the Bronze Age. The Greek gods such as Zeus and Aphrodite, who most are familiar with today, did not originate in the well-known tales by ____ they were introduced in the 7th Century in Hesiod's Theogony. Which choice completes the text so that it conforms to the conventions of Standard English?

During the Industrial Revolution, many factories moved from rural areas to large cities. While this meant more opportunity and a better life for ____ it made life much more difficult for others. For example, an abundantly populated city life required people to live in small, crowded areas with poor health standards. Additionally, children from impoverished families worked in dangerous environments for up to fifteen hours a day to help support their families. Which choice completes the text so that it conforms to the conventions of Standard English?

An issue with our immunity as we age has been discovered as playing a role in the development of Alzheimer's disease. ____ the cerebrospinal fluid coats the brain in nutrients and immune protection, but can become dysregulated as people get older. Which choice completes the text with the most logical transition?

For many years, astronomers believed that gamma-ray bursts (GRB) either lasted no longer than 2 seconds or for even less time. ____ they were shocked when two NASA telescopes observed a GRB that lasted for 50 seconds. Which choice completes the text with the most logical transition?

American lawyer and politician Elliot Abrams stated that first impressions are lasting and important. Sociologists have, ____ studied the effect of first impressions. Research has been conducted to determine whether or not one's clothing had an impact on treatment. The results determined that when individuals went into high-end retail stores dressed more formally, they were given assistance immediately, while they received delayed assistance or even no assistance at all when dressed in clothing that appeared old, inexpensive, or substandard. Which choice completes the text with the most logical transition?

While researching a topic, a student has taken the following notes: - New observations found that particular supermassive black holes project jets of high-energy particles into space. - Shockwaves are produced along the jets and contort magnetic fields. - This accelerates the speed of light as particles escape. - Astronomers observing this believe this is the reason why some black holes shine so brightly. - Further research needs to be done to determine the details of how the light particles flow. The student wants to explain the insights these new observations have provided. 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: - Demographic trends show that during the COVID-19 pandemic, minority groups were disproportionately impacted in the U.S. - Measures taken like lockdowns and social distancing created social and economic challenges despite contributing to public safety. - A study was conducted from April 2020 to September 2022 noting a loss of employment, food scarcity, housing insecurity, and unmet health services. - Online surveys were taken from approximately 117 million U.S. households. - Findings showed that non-Hispanic Black, non-Hispanic other minorities, and Hispanics were more likely to report struggles in these areas. The student wants to make a generalization about the conclusions reached from a study conducted during the COVID-19 pandemic. 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 1983, Howard Gardner published an educational book teaching that people have eight intelligences. - These intelligences are Linguistic, Logical/Mathematical, Spatial, Bodily-Kinesthetic, Musical, Interpersonal, Intrapersonal, and Naturalist. - He theorized that students have one or more intelligences. - Gardner believed that many students struggled in school not because of lack of intelligence, but because teachers were not engaging their intelligences. - Gardner argued that in order to teach effectively, one must engage all of these intelligences in the classroom through various strategies. The student wants to present this topic and its theory. Which choice most effectively uses relevant information from the notes to accomplish this goal?