Free Digital SAT Practice Test 1 (2024) – Full-Length, Downloadable & Scorable Online

Welcome to the Free SAT Practice Tests for Reading, Writing, and a few Math questions, which are brought to you by the experts at w3wiki. Our team of experienced educators and test-prep professionals have meticulously crafted these practice tests to help you prepare effectively for the SAT exam.

Whether you’re just beginning your SAT preparation journey or looking to sharpen your skills before test day, our Free SAT Practice Tests for Reading and Writing are an invaluable resource. So, let’s dive in and start mastering the skills you need to succeed on the SAT!

DIRECTIONS: Each passage or pair of passages below is followed by several questions. After reading each passage or pair, choose the best answer to each question based on what is stated or implied in the passage or passages and any accompanying graphics (such as a table or graph).

Questions 1-3 are Based on the Following Passage.

This passage is from Alexander Martin, The Echoes of Time. ©2020 by Alexander Martin. The setting is New York City in 1950. Henry and his daughter, Elizabeth, are members of a prestigious family.

David arrived unexpectedly, breaking all convention. Was that it? Had he adhered to custom—had he asked his father to speak to his mother to approach a mediator—would Henry have been more accommodating?

He came on a crisp autumn evening. He knocked on the door while a brisk wind rustled the fallen leaves outside, so at first, Henry thought it was only the wind. The butler knew better. Henry heard his deliberate footsteps, the creak of the door. Then the butler brought a calling card to the study for Henry.

Henry was hesitant to meet his guest; perhaps he was feeling too comfortable. He and Elizabeth were reading by the fireplace, a thick blanket spread over their laps to ward off the chill.

“Who is it at this hour, in this weather?” Henry asked as he picked the card from the butler’s tray.

“David Carter, Columbia University,” he read.

Elizabeth recognized the name. Henry noticed a slight intake of breath.

“I think you should go,” said Elizabeth.

David was waiting in the foyer. He was in his early twenties, tall and earnest, wearing the grey tweed jacket of a student. As he bowed slightly—his hands clasped in front of him, a leather satchel in one, a hat in the other—Henry glanced beyond him. In the polished surface of the marble floor, he saw his reflection like a shadowy twin.

“Sir,” said David, “forgive my intrusion, but I come with an urgent matter.”

His voice was calm, respectful. He straightened and took a tentative look at Henry’s face.

In the soft light, his eyes shone with determination. Henry felt himself beginning to like him.

“Come in, get out of this cold. Surely your business can wait a moment.”

“I don’t wish to trouble you. Normally, I would approach you more formally, but I’ve received an offer. I have a chance to study in England, at Oxford University.”

“Congratulations,” Henry said, amused. “That is quite an opportunity, I’m sure. But how does this concern me?”

Despite noticing Elizabeth’s reaction to the name card, Henry had no inkling. David’s speech, delivered with such formality, filled him with paternal amusement. It was reminiscent of how children speak so earnestly about things that seem trivial to adults.

It was how he viewed Elizabeth. Even though she was twenty and preparing diligently for a future in the family business, Henry had made no effort to find her a suitable match.

David blushed.

“Depending on your response, I may stay in New York. I’ve come to ask for Elizabeth’s hand.”

Suddenly, Henry felt the coolness of the evening.

“Does Elizabeth know anything of your intentions?”

“We have an understanding. Please don’t judge my candidacy by the unconventional nature of this proposal. I ask directly because the traditional process takes time. Either way, it’s a matter of parental consent. If you approve, I will stay and be part of your family. Without it, I must go to England to build a future there for us.”

Eager to make his case, he had been looking directly at Henry. Suddenly, his tone softened. “I see I’ve surprised you. My apologies. I won’t take more of your time. My address is on my card. If you wish to contact me, I’ll wait. If not, I will return in two weeks. Good night.”

He bowed and departed. Moving with an easy grace, like a cat slipping away unnoticed.

“Father?” Henry heard Elizabeth’s soft voice and turned from the door. “He has asked you?”

The sight of Elizabeth’s clear eyes, her serious expression gave Henry pause. Perhaps David’s hopes weren’t so absurd.

“Where did you meet such a young man? Imagine! He believes he can marry into our family and take you to England just like that!”

Henry waited for Elizabeth’s cheerful laughter.

Elizabeth was silent. She stood for a long moment, looking directly into Henry’s eyes. Finally, she spoke.

“I met him at my poetry club.”

Elizabeth turned to go back into the house, then paused.

“Father.”

“Yes?”

“I intend to marry him.”

Questions:

1. What is the primary setting of the passage?

a. London in 1960 b. New York City in 1950 c. Tokyo in 1920 d. Seattle in 1980

2. Why does David arrive at Henry’s house?

a. To ask for financial assistance b. To discuss a business proposal c. To ask for Elizabeth’s hand in marriage d. To deliver an important letter

3. What is Henry’s initial reaction to David’s visit?

a. He is eager to meet David b. He is hesitant and comfortable c. He is angry and dismissive d. He is excited and welcoming

Answers and Explanations:

1. b. New York City in 1950
   • The passage clearly states the setting as New York City in 1950.
2. c. To ask for Elizabeth’s hand in marriage
   • David explicitly states his intention to ask for Elizabeth’s hand in marriage.
3. b. He is hesitant and comfortable
   • Henry is initially hesitant to meet David because he is feeling too comfortable by the fireplace.

Questions 4-6 are Based on the Following Passage and Supplementary Material

This passage is adapted from Emily R. Smith and Jordan K. Graham, “Perception vs. Reality: The Misguided Generosity in Gift-Giving.” ©2021 by Insight Publishing.

Each holiday season, millions of people across the globe flock to stores, both online and physical, in search of the ideal gifts for their loved ones. In the United States alone, over $40 billion was spent on holiday gifts last December. Besides the festive season, gift-giving is a year-round activity, encompassing occasions such as birthdays, weddings, and anniversaries. This pervasive practice often results in mixed feelings among gift-givers. Many enjoy the process, seeing it as a way to reinforce social bonds and express affection. However, others dread it, fearing that their chosen gifts will fail to meet the expectations of the recipients.

Sociologists highlight gift-giving as a constructive social practice, performing various communal, cultural, and emotional functions. In contrast, economists often view it more critically. For instance, economist Joel Benson (2005) argues that gift-giving frequently leads to a misallocation of resources. People tend to buy items that recipients wouldn’t purchase for themselves or would buy at a lower cost (a concept known as “economic inefficiency in gifting”). For example, a giver might spend $150 on a gift that the recipient would value at just $100. This inefficiency indicates a disconnect in understanding what gifts will truly be appreciated, a phenomenon unsurprising to behavioral scientists. Studies show that individuals regularly fail to accurately perceive others’ preferences due to biases such as egocentrism and projection.

What is intriguing, however, is that despite their dual roles as both givers and recipients, individuals consistently overspend when buying gifts. This research aims to explore a novel psychological explanation for this tendency: the belief that the monetary value of a gift directly correlates with the recipient’s appreciation. Although it might seem logical to equate a higher price with greater appreciation, this assumption may be flawed. We hypothesize that recipients do not evaluate their gratitude based on the costliness of the gift to the extent that givers believe they do.

Why do givers assume that there is a strong link between the price of a gift and the recipient’s gratitude? It might be because givers think that more expensive gifts convey deeper levels of thoughtfulness and care. According to Morrison (2010) and other scholars, gift-giving functions as a symbolic act, where givers attempt to demonstrate their positive feelings towards the recipient and their willingness to invest in the relationship. From this perspective, spending more money on a gift can be seen as a way to send a stronger message of affection and commitment. On the other hand, recipients might not interpret the significance of gifts based on their cost.

The fact that givers and recipients often fail to understand each other’s perspectives is perplexing, especially since people frequently switch between these roles. Despite extensive experience in both roles, individuals struggle to transfer insights gained as recipients into their gift-giving decisions. Theoretically, this indicates a failure to utilize personal experiences to make more informed choices in social exchanges. Practically, it means people continue to spend substantial amounts on gifts each year without aligning their expenditures with the actual preferences of their recipients.

4. According to the passage, what is one main reason people have ambivalent feelings about gift-giving?

• (A) They believe all gifts are wasteful.
• (B) They worry their gifts will not be appreciated.
• (C) They think buying gifts is too expensive.
• (D) They dislike shopping online.

5. What does the term “economic inefficiency in gifting” refer to in the passage?

• (A) Spending less on gifts than expected.
• (B) Buying gifts that recipients would not choose for themselves.
• (C) Spending the exact amount that recipients value.
• (D) The increase in holiday spending each year.

6. How do sociologists view gift-giving, according to the passage?

• (A) As a negative social process.
• (B) As a waste of resources.
• (C) As a constructive social practice.
• (D) As an unnecessary tradition.

Answers and Explanation

4 Answer: (B) They worry their gifts will not be appreciated. Explanation: The passage mentions that many people dread buying gifts because they worry their purchases will disappoint rather than delight the recipients.

5 Answer: (B) Buying gifts that recipients would not choose for themselves. Explanation: Economic inefficiency in gifting is described as people buying items that recipients wouldn’t purchase for themselves or would buy at a lower cost.

6 Answer: (C) As a constructive social practice. Explanation: The passage states that sociologists highlight gift-giving as a constructive social practice, performing various communal, cultural, and emotional functions.

Questions 7-10 are Based on the Following Passage and Supplementary Material.

This passage is adapted from Jane Goodall, “In the Shadow of Man.” ©1971 by Jane Goodall. Jane Goodall is known for her groundbreaking research on chimpanzees in Gombe Stream National Park, Tanzania.

When I first began my observations at Gombe, my goal was simple: to learn as much as I could about the behavior of wild chimpanzees. I wanted to understand their social structures, their methods of communication, their patterns of food gathering, and their relationships with each other. I had no idea at the time that my research would span decades or that it would fundamentally alter our understanding of primate behavior.

One of my earliest discoveries was that chimpanzees use tools. On a rainy day in November, I watched as a male chimpanzee named David Greybeard picked up a twig, stripped it of its leaves, and inserted it into a termite mound. After a moment, he pulled out the twig, now covered with termites, and ate them. This simple act shattered the long-held belief that humans were the only species capable of making and using tools.

Chimpanzees are also remarkably social creatures. They live in communities that can range from a few dozen to over a hundred individuals. Within these communities, they form close bonds, particularly between mothers and their offspring. Infant chimpanzees are almost never seen more than a few feet from their mothers, clinging to their fur as they move through the forest.

Communication among chimpanzees is complex and varied. They use a combination of vocalizations, facial expressions, and body postures to convey a wide range of messages. For example, a soft “hoo” can be a sign of reassurance, while a loud pant-hoot is used to signal excitement or aggression. Understanding these forms of communication has been crucial to my research, allowing me to gain insights into their emotional lives and social dynamics.

Chimpanzees also display behaviors that were once thought to be uniquely human. They exhibit compassion, sharing food with those in need and comforting each other in times of distress. They engage in cooperative hunting, working together to catch prey such as colobus monkeys. And they show signs of self-awareness, recognizing themselves in mirrors and demonstrating an understanding of their own and others’ mental states.

However, the most striking similarity between chimpanzees and humans is their capacity for violence. While they can be gentle and loving, they also engage in brutal conflicts. Males may form coalitions to attack rivals, and entire communities have been known to go to war with each other, resulting in fatalities. This duality—of kindness and cruelty—is a sobering reminder of our shared ancestry and the complex nature of social living.

My work at Gombe has taught me that chimpanzees are not so different from us. They have rich emotional lives, complex social structures, and the ability to learn and adapt. Through them, we can gain a deeper understanding of our own behavior and the evolutionary roots of our humanity.

7. What was Jane Goodall’s initial goal when she began her observations at Gombe?

• A) To find a way to protect chimpanzees from poachers
• B) To understand the behavior of wild chimpanzees
• C) To train chimpanzees to use human tools
• D) To document the diet of chimpanzees

8. What significant behavior did David Greybeard demonstrate with a twig?

• A) He used it to attract a mate.
• B) He used it to groom another chimpanzee.
• C) He used it to extract termites from a mound.
• D) He used it to build a nest.

9. How do chimpanzees typically communicate?

• A) Through written symbols and drawings
• B) Through vocalizations, facial expressions, and body postures
• C) By building complex structures
• D) By changing the color of their fur

10. Which behavior did Jane Goodall observe that challenged the belief that humans are the only species capable of using tools?

• A) Chimpanzees building shelters
• B) Chimpanzees grooming each other
• C) Chimpanzees using twigs to fish for termites
• D) Chimpanzees creating paintings

Answers and Explanations

7 Answer: B) To understand the behavior of wild chimpanzees

Explanation: The passage states that her goal was to learn as much as she could about the behavior of wild chimpanzees.

8. Answer: C) He used it to extract termites from a mound.

Explanation: The passage describes how David Greybeard used a twig to obtain termites, illustrating tool use.

9. Answer: B) Through vocalizations, facial expressions, and body postures

Explanation: The passage explains that chimpanzees use a combination of these methods to communicate.

10 Answer: C) Chimpanzees using twigs to fish for termites

Explanation: The passage mentions that Goodall observed a chimpanzee using a twig to fish for termites, challenging the belief about human exclusivity in tool use.

Each passage below is accompanied by a number of questions. For some questions, you will consider how the passage might be revised to improve the expression of ideas. For other questions, you will consider how the passage might be edited to correct errors in sentence structure, usage, or punctuation. A passage or a question may be accompanied by one or more graphics (such as a table or graph) that you will consider as you make revising and editing decisions. Some questions will direct you to an underlined portion of a passage. Other questions will direct you to a location in a passage or ask you to think about the passage as a whole. After reading each passage, choose the answer to each question that most effectively improves the quality of writing in the passage or that makes the passage conform to the conventions of standard written English. Many questions include a “NO CHANGE” option. Choose that option if you think the best choice is to leave the relevant portion of the passage as it is.

Questions 1-11 are Based on the Following Passage.

Urban green spaces, such as parks, gardens, and green roofs, have become an essential component of modern city planning. These spaces provide a multitude of benefits, ranging from environmental improvements to enhanced community well-being. As urban areas continue to expand, the importance of incorporating green spaces into city landscapes cannot be overstated.

[1] One of the primary environmental benefits of urban green spaces is their ability to improve air quality. [2] Plants and trees absorb pollutants and release oxygen, helping to mitigate the effects of air pollution. [3] This is particularly crucial in densely populated cities, where air quality tends to be poorer. [4] In addition to improving air quality, green spaces also contribute to urban biodiversity by providing habitats for various species of plants, birds, and insects. [5] Many urban dwellers enjoy the beauty and tranquility that green spaces offer, making them valuable for recreational and aesthetic purposes as well.

Moreover, urban green spaces have a positive impact on the mental and physical health of residents. Studies have shown that access to green spaces can reduce stress, improve mood, and encourage physical activity. For instance, people who live near parks are more likely to engage in outdoor exercise, which can lead to better overall health outcomes. Furthermore, green spaces can serve as social hubs, bringing together community members and fostering a sense of belonging.

Finally, the economic benefits of urban green spaces should not be overlooked. Well-maintained parks and gardens can increase property values and attract tourists, boosting local economies. Additionally, they can reduce energy costs by providing shade and cooling urban areas, thus lowering the need for air conditioning during hot summer months.

In conclusion, the integration of green spaces into urban environments is not only beneficial but necessary. As cities grow, the creation and preservation of these areas must be prioritized to ensure a sustainable and healthy future for urban populations.

1. Which choice best maintains the meaning and cohesiveness of the first sentence in the passage?

A) Urban green spaces, like parks and gardens, have become essential for city planning.

B) Parks, gardens, and green roofs are examples of urban green spaces, which are essential for city planning.

C) Urban green spaces, such as parks, gardens, and green roofs, are essential in modern city planning.

D) In city planning, urban green spaces like parks, gardens, and green roofs are necessary.

2. Which choice best provides a transition from the first paragraph to the second?

A) NO CHANGE

B) These spaces are also important for human health and community engagement.

C) Many urban areas lack sufficient green spaces.

D) The importance of urban green spaces extends beyond the environment.

3. Which choice best combines sentences 3 and 4 to improve the flow of the paragraph?

A) This is particularly crucial in densely populated cities, and green spaces contribute to urban biodiversity by providing habitats for various species of plants, birds, and insects.

B) This is particularly crucial in densely populated cities, which benefit from green spaces that contribute to urban biodiversity by providing habitats for various species of plants, birds, and insects.

C) This is particularly crucial in densely populated cities where green spaces contribute to urban biodiversity by providing habitats for various species of plants, birds, and insects.

D) This is particularly crucial in densely populated cities because green spaces also contribute to urban biodiversity by providing habitats for various species of plants, birds, and insects.

Answers and Explanations

1. C) Urban green spaces, such as parks, gardens, and green roofs, are essential in modern city planning.

Explanation: This choice clearly lists examples of urban green spaces while maintaining the sentence’s cohesiveness and original meaning.

2. B) These spaces are also important for human health and community engagement.

Explanation: This choice provides a logical transition by introducing the next topic of discussion, which is the health and social benefits of green spaces.

3. D) This is particularly crucial in densely populated cities because green spaces also contribute to urban biodiversity by providing habitats for various species of plants, birds, and insects.

Explanation: This choice combines the sentences in a way that clearly connects the idea of air quality improvement to the additional benefit of biodiversity.

Passage: The Arctic Thaw

The Arctic region, characterized by its vast ice sheets and frozen tundra, is undergoing significant changes due to rising temperatures. Greenland, in particular, has been experiencing a phenomenon known as “dark snow,” which contributes to the accelerated melting of its ice sheet.

Most of Greenland’s interior is covered by a thick layer of ice and compressed snow known as the Greenland Ice Sheet. The size of the ice sheet fluctuates seasonally: in summer, average daily high temperatures in Greenland can rise to slightly above 50 degrees Fahrenheit, partially melting the ice; in the winter, the sheet thickens as additional snow falls, and average daily low temperatures can drop to as low as 20 degrees.

Typically, the ice sheet begins to show evidence of thawing in late summer. This follows several weeks of higher temperatures. For example, in the summer of 2012, virtually the entire Greenland Ice Sheet underwent thawing at or near its surface by mid-July, the earliest date on record. Most scientists looking for the causes of the Great Melt of 2012 have focused exclusively on rising temperatures. The summer of 2012 was the warmest in 170 years, records show. But Jason Box, an associate professor of geology at Ohio State, believes that another factor added to the early thaw; the “dark snow” problem.

According to Box, a leading Greenland expert, tundra fires in 2012 from as far away as North America produced great amounts of soot, some of it drifted over Greenland in giant plumes of smoke and then fell as particles onto the ice sheet. Scientists have long known that soot particles facilitate melting by darkening snow and ice, limiting its ability to reflect the Sun’s rays. As Box explains, “Soot is an extremely powerful light absorber. It settles over the ice and captures the Sun’s heat.” The result is a self-reinforcing cycle. As the ice melts, the land and water under the ice become exposed, and since land and water are darker than snow, the surface absorbs even more heat, which leads to additional melting.

Box’s research is important because the fires of 2012 may not be a one-time phenomenon. According to scientists, rising Arctic temperatures are making northern latitudes greener and thus more fire-prone. The pattern Box observed in 2012 may repeat itself, with harmful effects on the Arctic ecosystem. Box is currently organizing an expedition to gather this crucial information. The next step for Box and his team is to travel to Greenland to perform direct sampling of the ice in order to determine just how much the soot is contributing to the melting of the ice sheet. Members of the public will be able to track his team’s progress—and even help fund the expedition—through a website Box has created.

4. Which transition best fits the context and flow of the paragraph?

A) NO CHANGE

B) However,

C) As such,

D) Moreover,

5. Which punctuation best maintains clarity and correctness in the sentence?

A) NO CHANGE

B) Box an associate professor of geology at Ohio State,

C) Box, an associate professor of geology at Ohio State,

D) Box, an associate professor of geology, at Ohio State

6. Which punctuation mark best follows the word “thaw” to maintain clarity and correctness in the sentence?

A) NO CHANGE

B) thaw; and it was

C) thaw:

D) thaw: being

Answers and Explanations

4. Answer: D) Moreover,

Explanation: This transition introduces additional information that supports the main argument of the paragraph.

5. Answer: C) Box, an associate professor of geology at Ohio State,

Explanation: This choice correctly uses commas to set off the appositive phrase “an associate professor of geology” without disrupting the sentence’s flow.

6. Answer: C) thaw:

Explanation: This choice appropriately uses a colon to introduce the explanation that follows.

Questions 7-10 are Based on the Following Passage.

Coworking: A Creative Solution

When I left my office job as a website developer at a small company for a position that allowed me to work full-time from home, I thought I had it made: I gleefully traded in my suits and dress shoes for sweatpants and slippers, my frantic early-morning bagged lunch packing for a leisurely midday trip to my refrigerator. The novelty of this comfortable work-from-home life, however, soon got worn off quickly. Within a month, I found myself feeling isolated despite having frequent email and instant messaging contact with my colleagues. Having become frustrated trying to solve difficult problems, no colleagues were nearby to share ideas. It was during this time that I read an article into coworking spaces.

7. What correction should be made to the underlined portion “worn off” in the passage?

A) Change “worn off” to “worn out.”
B) Change “worn off” to “wear off.”
C) Delete “worn off.”
D) No change needed.

8. What correction should be made to the underlined portion “no colleagues” in the passage?

A) Change “no colleagues” to “none of my colleagues.”
B) Change “no colleagues” to “any colleagues.”
C) Delete “no colleagues.”
D) No change needed.

9. What correction should be made to the underlined portion “into coworking spaces” in the passage?

A) Change “into coworking spaces” to “about coworking spaces.”
B) Change “into coworking spaces” to “about coworking.”
C) Delete “into coworking spaces.”
D) No change needed.

10. What correction should be made to the underlined portion “complain about” in the passage?

A) Change “complain about” to “complained about.”
B) Change “complain about” to “complaining about.”
C) Delete “complain about.”
D) No change needed.

Answers and Explanations

7 A) Change “worn off” to “worn out.”

Explanation: The phrase “worn out” is more appropriate in this context to convey that the novelty of the comfortable work-from-home life diminished over time. “Worn off” implies that the novelty disappeared suddenly, which doesn’t fit the context.

8. C) Delete “no colleagues.”

Explanation: The phrase “no colleagues” is redundant and unnecessary. Removing it would result in a clearer and more concise sentence.

9 C) Delete “into coworking spaces.”

Explanation: The phrase “into coworking spaces” is unnecessary and awkward. Removing it would result in a clearer and more concise sentence.

10 Delete “complain about.”

Explanation: The phrase “complain about” is redundant and unnecessary. Removing it would result in a clearer and more concise sentence.

1. If ?(?)=2?−3f(x)=2x−3 and ?(?)=4?+5g(x)=4x+5, what is the value of 3?(4)−2?(1)3f(4)−2g(1)?

A) 7 B) 15 C) 17 D) 19

Solution: First, let’s find ?(4)f(4) and ?(1)g(1): ?(4)=2(4)−3=8−3=5f(4)=2(4)−3=8−3=5?(1)=4(1)+5=4+5=9g(1)=4(1)+5=4+5=9

Now, substitute these values into the expression 3?(4)−2?(1)3f(4)−2g(1): 3?(4)−2?(1)=3(5)−2(9)3f(4)−2g(1)=3(5)−2(9)=15−18=15−18=−3=−3

Therefore, the correct answer is:

A) -3

2. If ?(?)=3?2f(x)=3x2 and ?(?)=2?−1g(x)=2x−1, what is the value of ?(2)+2?(3)f(2)+2g(3)?

A) 28 B) 25 C) 22 D) 19

Solution: First, let’s find ?(2)f(2) and ?(3)g(3): ?(2)=3(2)2=3(4)=12f(2)=3(2)2=3(4)=12?(3)=2(3)−1=6−1=5g(3)=2(3)−1=6−1=5

Now, substitute these values into the expression ?(2)+2?(3)f(2)+2g(3): ?(2)+2?(3)=12+2(5)f(2)+2g(3)=12+2(5)=12+10=12+10=22=22

Therefore, the correct answer is:

C) 22

3. If ?(?)=4?−3f(x)=4x−3 and ?(?)=?2g(x)=x2, what is the value of ?(5)−?(2)f(5)−g(2)?

A) 16 B) 14 C) 12 D) 10

Solution: First, let’s find ?(5)f(5) and ?(2)g(2): ?(5)=4(5)−3=20−3=17f(5)=4(5)−3=20−3=17?(2)=(2)2=4g(2)=(2)2=4

Now, substitute these values into the expression ?(5)−?(2)f(5)−g(2): ?(5)−?(2)=17−4f(5)−g(2)=17−4=13=13

Therefore, the correct answer is:

D) 13

4. If ?(?)=?3f(x)=x3 and ?(?)=2?g(x)=2x, what is the value of 2?(2)+?(3)2f(2)+g(3)?

A) 25 B) 24 C) 23 D) 22

First, let’s find ?(2)f(2) and ?(3)g(3): ?(2)=(2)3=8f(2)=(2)3=8?(3)=2(3)=6g(3)=2(3)=6

Now, substitute these values into the expression 2?(2)+?(3)2f(2)+g(3): 2?(2)+?(3)=2(8)+62f(2)+g(3)=2(8)+6=16+6=16+6=22=22

Therefore, the correct answer is:

D) 22

5. If ?(?)=5?+2f(x)=5x+2 and ?(?)=3?2g(x)=3x2, what is the value of 3?(1)−2?(2)3f(1)−2g(2)?

A) -8 B) -2 C) 0 D) 4

First, let’s find ?(1)f(1) and ?(2)g(2): ?(1)=5(1)+2=5+2=7f(1)=5(1)+2=5+2=7?(2)=3(2)2=3(4)=12g(2)=3(2)2=3(4)=12

Now, substitute these values into the expression 3?(1)−2?(2)3f(1)−2g(2): 3?(1)−2?(2)=3(7)−2(12)3f(1)−2g(2)=3(7)−2(12)=21−24=21−24=−3=−3

Therefore, the correct answer is:

A) -3

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