SAT Practice Test 7 – Scoring Your SAT 2025

1) If tan x = 1, what is a possible value of x in the interval 0 ≤ x ≤ 2π?

2) In triangle ABC, a = 7, b = 8, and the angle between sides a and b is 60°. What is the area of the triangle?

3) What is the remainder when x³ + 2x² - x - 2 is divided by x + 2?

4) A car uses 2 gallons of gas to travel 50 miles. How far can it travel on 6 gallons of gas?

5) Solve the system: y = x² + 4, x² + y² = 80

6) In triangle PQR, angle P = 30°, side q = 10, and side r = 6. What is the measure of angle Q?

7) A savings account earns an annual interest of 5% compounded annually. If $10,000 is deposited, how much will the account have after two years?

8) Which region does y ≤ 3x + 2 and y ≥ -x - 1 cover?

9) A house’s value increases by 10% annually. If the current value is $300,000, what will it be after two years?

10) For the inequality 3x + 4y ≥ 12, which point lies on the boundary?

11) What type of region is defined by x > 0 and y > 0?

12) If vector v has a magnitude of 10 and makes an angle of 120° with the positive x-axis, what is the x-component of v?

13) What is the value of cos²(π/8) - sin²(π/8)?

14) What is the remainder when x³ + 2x² - x - 2 is divided by x + 2?

15) Which inequality is satisfied by all points on and below the x-axis?

16) A rectangle with vertices at (2, 3), (2, 7), (5, 7), and (5, 3) is reflected over the line y=5. What are the new coordinates of the vertices?

17) In a triangle, two sides are 8 and 15. Which of the following cannot be the length of the third side?

18) The ratio of boys to girls in a class is 4:3. If there are 28 boys, how many girls are there?

19) Find the solutions to: y = x² - 3, x² + y² = 26

20) What is the degree of the polynomial x⁴ + 2x³ - 5x² + 7x - 9?

21) If x - 2 is a factor of x³ + px² + qx + 10, and p = -3, what is the value of q?

22) If a job can be done by 8 workers in 10 days, how long will it take for 4 workers to do the same job?

23) A pipe fills a tank with water at a rate of 6 gallons per minute. How many gallons will it fill in 45 minutes?

24) A circle with a center at (4, -3) and radius 5 is translated 2 units right and 4 units up. What is the equation of the new circle?

25) A store offers a 15% discount on a $300 item. What is the price after the discount?

26) What transformation maps y=∣x∣ to y=∣x+4∣−2?

27) Which of the following systems results in a feasible region in the first quadrant?

28) The ratio of red to blue marbles in a bag is 2:7. If there are 14 blue marbles, how many red marbles are there?

29) What is the value of cos²(π/8) - sin²(π/8)?

30) If the system y > x + 1 and y < -x + 5 is graphed, what is the solution region?

31) A circle centered at (3, -2) with radius 4 is reflected over the x-axis. What is the equation of the reflected circle?

32) What is the value of tan x for x = 60°?

33) The equations are: x² - y = 5, x² + y² = 29

34) Which transformation maps the graph of y=2x+1 to y=2(x−3)+4?

35) Which inequality represents the shaded region below?

36) A triangle has vertices (2, 3), (4, 7), and (5, 1). If it undergoes the transformation T(x,y)=(3x,2y), what are the new vertices?

37) Solve for x in the interval [0, 2π]: sin(2x) = cos(x)

38) If sin θ = 3/5 and θ is in the second quadrant, what is the value of tan θ?

39) The equations are: y = x² - 2x - 3, x² + y² = 34

40) Solve the system: y = x² - x + 2, x² + y² = 20

41) Which of the following represents the region where x + 3y > 9?

42) If 4x + 5y ≥ 20 and x + y ≤ 5, which point lies in the feasible region?

43) A circle with a center at (4, -3) and radius 5 is translated 2 units right and 4 units up. What is the equation of the new circle?

44) If a car travels 45 miles in 1.5 hours, how far will it travel in 4 hours at the same speed?

45) The sides of two similar triangles are in the ratio 3:5. If the shorter side of the smaller triangle is 12 units, what is the length of the corresponding side of the larger triangle?

46) A point (7, -5) is rotated 270° counterclockwise around the origin. What are the new coordinates?

47) If tan(x) = 3/4 and π < x < 3π/2, what is the value of sin(x) + cos(x)?

48) What transformation maps y=∣x∣ to y=∣x+4∣−2?

49) Which inequality has no solution in the first quadrant?

50) Solve the nonlinear system of equations: y = 2x² + 3, x² + y² = 45

The organization’s website explains its goals in a straightforward manner. It aims to educate the public, advocate for policy change, and support local communities. The tone is direct and purposeful.

Which sentence is consistent with the tone of the passage?

The artist painted the landscape with vibrant colors. Glowing in the morning light, the audience admired the masterpiece. The scene captured the serenity of nature.

Which revision corrects the misplaced modifier?

The student’s essay explored the importance of renewable energy. For example, the essay included statistics about solar panel efficiency and wind turbine output. These figures supported the main argument effectively.

Which sentence best adds precision to the essay?

The professor’s lecture was clear and informative. Each point was supported by well-researched examples, ensuring the audience understood complex concepts. The tone remained academic and accessible throughout.

Which sentence aligns with the tone of the passage?

In a cover letter, expressing enthusiasm is important, but it must be done professionally. Instead of saying, "I’m super excited to work here," write, "I am eager to contribute to your team." This demonstrates a polished and respectful tone.

Which phrase is appropriate for a cover letter?

The writer revised the draft carefully. Considering the feedback, the essay was improved significantly. The final version received high praise.

Which revision corrects the dangling modifier?

Scientific research papers are expected to maintain a formal tone. This study analyzes the correlation between diet and cognitive function in a controlled setting. The findings are presented with clarity and precision.

Which phrasing is most consistent with the passage’s tone?

The museum’s brochure aimed to attract more visitors. Mentioning exhibits like the rare dinosaur skeleton and ancient pottery collection made it more compelling. These highlights captured the audience’s interest.

Which detail is most relevant for the museum’s brochure?

During the meeting, the manager outlines the goals for the next quarter. She encouraged the team to collaborate and shares innovative ideas. Her enthusiasm motivated everyone.

Which revision maintains verb tense consistency?

When writing an email to a colleague, clarity and courtesy are crucial. Avoid phrases like "Hey there!" and instead opt for "Dear [Name]." This sets a professional tone and establishes respect.

Which greeting is formal?

The report on wildlife conservation was comprehensive. It focused on specific challenges, such as habitat loss and poaching, which are major threats to biodiversity. These details made the report impactful.

Which detail is the most relevant for the report?

The gardener watered the plants daily. Wilting under the hot sun, the garden required constant care. The vibrant flowers were a testament to the effort.

Which revision corrects the misplaced modifier?

The book discusses strategies for effective communication. It provides practical tips. These tips are easy to implement in daily life. Readers find the book helpful and insightful.

Which is the best way to refine the underlined sentences?

The report highlighted the company’s progress over the past quarter. The inclusion of specific data points, such as revenue growth and customer acquisition rates, makes the analysis more precise. These details provide a clearer picture of performance.

Which sentence adds the most precise information to the report?

The researcher presented her findings at the conference. She explained the methods she used and the implications of her work. The audience appreciated the clarity of her presentation.

Which is the best way to combine the two underlined sentences?

The company’s mission statement reflects its commitment to sustainability. It emphasizes reducing waste, conserving energy, and protecting natural resources. This professional tone aligns with its environmentally conscious goals.

Which sentence maintains a consistent tone with the passage?

In scientific papers, word choice matters. Phrases such as "a lot of" should be replaced with "a significant amount" to maintain a formal tone. Precision ensures clarity and professionalism.

Which revision is formal?

The student worked on the science project diligently. Experimenting with different chemicals, an explosion startled the class. The safety measures were reviewed afterward.

Which revision corrects the dangling modifier?

The travel blog vividly captures the beauty of the destinations it covers. Its descriptions are colorful and evocative, drawing readers into the scenery and culture of each place. The tone is consistently engaging and descriptive.

Which sentence is consistent with the tone of the passage?

The scientist conducted the experiment carefully. She records the data and analyzed the results. Her thorough approach ensured accurate conclusions.

Which option maintains consistent verb tense?

The committee reviewed the proposal carefully. They discusses the potential benefits and identified challenges. Their deliberation was thorough.

Which revision corrects the verb tense inconsistency?

The park is a popular spot for families. It has playgrounds for children. It also has picnic areas for adults. People of all ages enjoy spending time there.

Which is the best way to combine the underlined sentences?

The professor emphasized the importance of clarity in academic writing. Using informal phrases like "stuff" or "things" can detract from the quality of your work. Precision and specificity are critical in scholarly communication.

Which revision keeps the tone formal?

In a professional setting, it is essential to maintain an appropriate tone. While emailing a potential employer, use formal language and avoid contractions. This ensures that your communication is clear and respectful.

Which version maintains a formal tone?

In academic essays, the use of first-person pronouns should generally be avoided. Instead of writing "I believe," state the argument directly for a more formal tone. This approach lends authority and objectivity to your writing.

Which phrasing is formal?

The professor’s lecture covered economic policies. Including examples of recent tax reforms and their effects made the lecture more precise. These examples clarified complex concepts for the audience.

Which sentence is the most precise for the lecture?

The team worked hard on the project. They conducted extensive research. They developed a comprehensive plan. The project was completed on time and met all goals.

Which option best combines the underlined sentences?

Presentations at professional conferences require careful preparation. Refrain from using slang or colloquial terms, as these can undermine your credibility. Instead, focus on clear and precise language.

Which advice maintains a formal tone?

The report clearly outlined the objectives of the project. It stated that the team must "demonstrate a commitment to excellence" throughout the process. Such language underscores professionalism and dedication.

Which version is the most formal?

The novel’s narrative style is rich and poetic. It weaves intricate descriptions with deep emotional insights, creating a vivid and immersive reading experience. The tone is consistently artistic and reflective.

Which sentence matches the tone of the passage?

The chef prepares dishes with fresh ingredients. He selecting the best produce and creating flavorful combinations. His skills have earned him widespread acclaim.

Which option maintains consistent verb forms?

The travel guide described the city’s attractions. Highlighting landmarks like the Eiffel Tower and Louvre Museum provided essential information for tourists. These details helped readers plan their visits effectively.

Which sentence adds the most relevant detail to the travel guide?

The scientist’s discoveries were groundbreaking. They challenged existing theories. They opened new avenues for research. Her work earned widespread recognition.

Which is the best way to refine the underlined sentences?

The article discussed climate change and its effects on agriculture. For instance, rising temperatures have led to decreased crop yields in many regions. This example underscores the real-world implications of global warming.

Which detail is most relevant to the discussion of climate change and agriculture?

The athlete practices regularly. She running laps every morning and follows a strict diet. This routine helps her stay in top form.

Which revision corrects the verb form error?

Neither the dog nor the cat wanted to leave its cozy spot by the fire. They both seemed perfectly content in the warmth.

What is the best pronoun for "neither the dog nor the cat"?

The researcher carefully reviewed the data. While analyzing the results, errors in the calculations were discovered. This finding required immediate attention.

Which revision corrects the dangling modifier?

The athlete trained for months. She improved her endurance. She also enhanced her strength. Her hard work paid off in the competition.

Which option best combines the underlined sentences?

The author of the article emphasizes the importance of teamwork. She explains how collaboration builds trust and creating stronger bonds among colleagues. These insights are valuable for both managers and employees.

Which revision corrects the verb form error?

The artist’s work is admired for its originality. Her paintings explore themes of identity. They also address societal issues. Critics praise her ability to provoke thought.

Which option best combines the underlined sentences?

The city council proposed changes to local transportation. For instance, adding bike lanes and improving public transit were practical solutions mentioned in the proposal. These suggestions aimed to reduce traffic congestion.

Which addition makes the proposal more precise?

The tour guide describes the city’s landmarks in detail. She pointing out architectural features and shared historical anecdotes. Visitors enjoy the immersive experience.

Which revision corrects the verb form error?

The athlete completed the marathon. Exhausted and triumphant, the finish line was finally crossed. The crowd cheered loudly.

Which revision corrects the dangling modifier?

The biography of the scientist includes numerous personal anecdotes. However, details about their groundbreaking research are more pertinent to the reader’s understanding of their contributions. Focusing on these achievements highlights their impact.

Which sentence emphasizes relevance in the biography?

The presentation provided an overview of historical events. Adding dates and specific examples, such as the signing of the Declaration of Independence in 1776, enhanced its precision. These details made the timeline clearer.

Which addition makes the presentation more precise?

When communicating with a senior manager, tone is critical. Replace informal words like "awesome" with more professional terms such as "excellent." This establishes respect and professionalism.

Which choice maintains a formal tone?

The teacher handed out the exams. Rushing to complete their work, the classroom was silent. The students concentrated deeply.

Which revision corrects the dangling modifier?

The photographer captured the city skyline. Sparkling in the night sky, the photo mesmerized everyone. The composition was breathtaking.

Which revision corrects the misplaced modifier?

The guide provides valuable advice for college students. It recommends organizing schedules, managing time effectively, and seeking academic support when needed. These tips are designed to help students succeed.

Which revision is consistent with the passage’s tone?

The documentary explores environmental challenges. It highlights the effects of pollution and demonstrated ways to reduce waste. The film provides practical solutions.

Which revision corrects the verb form inconsistency?

The museum opened its new exhibit last week. The exhibit features ancient artifacts. These artifacts were discovered in a recent excavation. Visitors were excited to see the collection.

Which option best combines the underlined sentences?

The technology company’s press release was carefully crafted. It highlighted the innovative features of its new product and emphasized its potential impact on the market. The tone was polished and professional.

Which sentence aligns with the tone of the passage?

The novel captures the complexities of human relationships. The protagonist struggles with guilt while he confronts his past mistakes. The story is both compelling and thought-provoking.

Which revision ensures consistency in verb tense?

The speaker addressed the audience with confidence. Focusing on the main points, the presentation was clear and concise. The audience appreciated the delivery.

Which revision corrects the dangling modifier?

Each of the students had completed their assignments before the deadline. The teacher was impressed by the group’s punctuality and effort.

What is the best pronoun for "each of the students"?

The engineer designs innovative solutions. She testing prototypes and refines the final products. Her dedication results in exceptional outcomes.

Which option ensures consistent verb tense?

The article examines the causes of deforestation. It discusses illegal logging. It also highlights agricultural expansion. These factors contribute significantly to habitat loss.

Which is the best way to combine the underlined sentences?

The company launched a new marketing campaign. The campaign uses social media platforms. It also incorporates traditional advertising methods. Early results suggest it is effective.

Which is the best way to refine the underlined sentences?

Job descriptions are a reflection of company values. Phrasing such as "requires strong interpersonal skills" is more formal than saying "needs to be good with people." Precision and clarity are vital in such contexts.

Which phrase is formal?

The author of the memoir recounts their early struggles with eloquence and grace. Each chapter reveals deeply personal experiences that shaped their perspective on life. The tone throughout is reflective and sincere.

Which sentence is consistent with the tone of the passage?

The marketing team’s proposal outlined strategies to increase customer engagement. It focused on social media campaigns, targeted advertisements, and personalized email outreach. The tone was professional and focused.

Which sentence is consistent with the tone of the passage?