SAT Practice Test 3 Worksheets – Scoring Your Paper

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

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

3) If cos x = 0.5, what is a possible value of x in the interval 0 ≤ x ≤ 2π?

4) Find the value of tan x for x = 225°:

5) Solve x² - 7x + 12 = 0. What is the sum of the roots?

6) What is one of the roots of the equation 2x² - 4x - 6 = 0?

7) A map uses a scale of 1 inch = 25 miles. If the distance between two cities on the map is 4 inches, what is the actual distance?

8) Which inequality represents the shaded region below?

9) 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?

10) What is the value of sin x for x = 330°?

11) 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?

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

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

14) What is the slope of the boundary line for 5x + 2y ≥ 20?

15) What is the value of tan x for x = 315°?

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

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

18) If x + y ≥ 10 and x - y ≤ 6, which point satisfies both inequalities?

19) The expression (3x - 2)² - 9x² simplifies to:

20) A factory produces 15 widgets in 3 hours. At this rate, how many widgets will it produce in 8 hours?

21) If cos x = -0.866, what is a possible value of x in degrees in the interval 0° ≤ x ≤ 360°?

22) If sin x = 0.866, what is a possible value of x in degrees in the interval 0° ≤ x ≤ 360°?

23) A company’s revenue is directly proportional to its number of sales. If $2,000 in revenue comes from 50 sales, how much revenue will come from 200 sales?

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

25) A recipe requires 3 cups of sugar for every 5 cups of flour. If you have 15 cups of flour, how many cups of sugar do you need?

26) What is the vertex of the feasible region formed by the system of inequalities?

• x + y ≤ 6, x ≥ 0, y ≥ 0

27) A square has vertices at (1, 1), (1, 3), (3, 3), and (3, 1). What is the result after reflecting the square over the line x=2?

28) If sin x = 0.342, what is a possible value of x in degrees in the interval 0° ≤ x ≤ 360°?

29) What is the slope of the boundary line for the inequality 2x - 5y < 10?

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

31) What is the perimeter of a 30°-60°-90° triangle if the shorter leg is 5?

32) After a dilation with a scale factor of ½, the coordinates of a triangle's vertices are scaled to (3, 2), (5, 1), and (7, 4). What were the original coordinates of the vertices?

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

34) What is the equation of the line that divides the feasible region of the inequality 3x + 2y > 12?

35) If tan x = 0.577, what is a possible value of x in degrees in the interval 0° ≤ x ≤ 360°?

36) What type of triangle has side lengths 9, 12, and 15?

37) An employee earns $500 for 40 hours of work. How much will they earn for 60 hours of work at the same rate?

38) What is the value of cos x for x = 135°?

39) If P(x) = x² - 5x + 6, what is the value of P(3)?

40) A quadrilateral with vertices (1, 1), (1, 4), (3, 4), and (3, 1) is rotated 180° about the origin. What are the new coordinates of the vertices?

41) Which of the following describes the transformation that maps the graph of y=x² to y=(x−3)²+2?

42) What is the value of sin x for x = 225°?

43) If f(x) = x³ - 2x² + 3x - 5, what is f(-1)?

44) If a figure is reflected over the line y=x, what happens to the coordinates of each point?

45) Simplify (2x + 3)(x - 4). What is the coefficient of x²?

46) Which of the following satisfies the triangle inequality theorem?

47) The solution to the inequality system 2x - y ≤ 4 and x + y ≥ 3 is:

48) Find (1−i)/(2−i).

49) If a car travels 120 miles in 2 hours, how far will it travel in 5 hours at the same speed?

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

1) The company has unveiled a new marketing strategy. Its focus is on improving customer engagement, and it’s expected to increase sales significantly.

Which revision maintains correct usage of "its" and "it's"?

2) The organization is renowned for its charitable work. It’s planning to expand its reach internationally.

Which option uses "its" and "it's" correctly?

3) The sky turned a vibrant shade of orange and pink as the sun dipped below the horizon. The scene was both calming and awe-inspiring.

Which option uses precise and vivid language?

4) She enjoys hiking in the mountains, swimming in the ocean, and to explore new cities. Her weekends are always full of adventure.

How can the first sentence be rewritten to correct parallel structure?

5) The team of scientists were working on a groundbreaking experiment.

Which option corrects the subject-verb agreement error?

6) They were building a treehouse, but they decide to stop when it started raining.

Which revision avoids the unnecessary tense shift?

7) The well maintained park was a favorite among local families. Its state of the art playground and wide open spaces offered something for everyone. The park was also known for its weekly farmer’s market.

Which revision properly uses hyphenation?

8) The new initiative will improve local infrastructure and create more jobs. More jobs will be created, and infrastructure will be improved by the new initiative.

Which revision best emphasizes the main idea?

9) The speaker remarked, "teamwork is essential for success."

How should the quotation be integrated?

10) The artist’s brushstrokes were bold and expressive, filling the canvas with swirling blues and dramatic splashes of gold. The painting seemed to radiate energy and emotion.

Which option best uses vivid and precise language?

11) The chef prepared a meal using locally grown, high-quality ingredients. The menu boasted farm fresh vegetables, pasture raised beef, and homemade desserts. Patrons were impressed by the flavors and the attention to detail.

Which revision properly uses hyphenation?

12) The students were excited, but they had to wait, and the event started late.

Which revision avoids improper conjunction use?

13) The report was written by the team to highlight their findings. The team wrote the report to highlight their findings.

Which sentence uses active voice effectively?

14) The teacher explained the concept patiently, using examples to illustrate her points. Her voice was calm, her tone encouraging. Students nodded, understanding the material more clearly. By the end of the class, they were confident in their abilities.

How does sentence length variation improve the paragraph?

15) The dog ran after the cat, but it escaped.

Which revision eliminates ambiguity about "it"?

16) The small cafe was cozy, with the aroma of freshly brewed coffee wafting through the air. Soft jazz music played in the background, adding to the warm ambiance.

Which sentence uses descriptive language effectively?

17) The conference started late, many attendees were already impatient. The keynote speaker eventually delivered a thought-provoking presentation.

Which revision avoids the comma splice in the first sentence?

18) The city was bustling with activity. Vendors shouted their wares, and cars honked incessantly. Bright neon signs lit up the streets, and the aroma of street food filled the air. Crowds moved through the narrow sidewalks, their voices blending into a chaotic symphony.

How does sentence length variation improve the paragraph?

19) The boxes of supplies arrives at the warehouse every week.

Which option corrects the subject-verb agreement error?

20) The manager emailed the employee about the project deadline. He said it needed to be completed by Friday.

Which revision avoids ambiguity about "he"?

21) He asked, "Can I help you with that?"

Which sentence correctly punctuates the dialogue?

22) The author states, "the protagonist faces challenges that test her resilience."

What is the correct way to integrate the quotation?

23) The committee released a detailed report. It outlines plans for future development.

How does adding an appositive clarify the sentence?

24) He planned to go hiking, but the weather was bad, and he stayed home.

Which revision avoids improper conjunction use?

25) The best selling author released her latest novel to critical acclaim. The page turning thriller quickly became a bestseller. Fans praised the fast paced plot and relatable characters.

Which revision properly uses hyphenation?

26) The Titanic sank on its maiden voyage. This disaster shocked the world.

How does adding an appositive clarify the sentence?

27) The team worked late into the night, they wanted to finish the project before the deadline. Their dedication impressed the manager.

Which revision fixes the comma splice?

28) The hikers reached the summit, although the trail was challenging.

How does placing the dependent clause first improve the sentence?

29) The ancient castle stood atop a hill, its imposing walls a reminder of the region’s tumultuous past. The interior of the castle featured grand halls, narrow staircases, and hidden passageways. Visitors wandered through its corridors, imagining the lives of those who once lived there. Its history captivated historians and tourists alike.

How does varying sentence length improve this paragraph?

30) The hikers packed their gear and start their journey at sunrise.

Which revision avoids the unnecessary shift in verb tense?

31) The list of recommended changes include several important updates.

Which option corrects the subject-verb agreement error?

32) The artist was talented, but she lacked experience, so her paintings were inconsistent.

Which revision avoids improper conjunction use?

33) Mistakes were identified by the auditor during the review. The auditor identified mistakes during the review.

Which sentence uses active voice?

34) "Have you completed the report?" she asked.

Which option uses correct dialogue punctuation?

35) The restaurant is known for its authentic Italian cuisine. It’s one of the most popular dining spots in the city.

Which choice correctly uses "its" and "it's"?

36) The children played in the yard while their parents are inside the house.

Which option avoids the unnecessary shift in verb tense?

37) A good teacher not only imparts knowledge but also inspires curiosity in students. Curiosity is inspired in students by good teachers who also impart knowledge.

How can the sentence be restructured to emphasize the main idea?

38) The team celebrated its victory, after they worked hard all season.

How does moving the dependent clause improve the sentence?

39) After Sarah spoke with Emily, she decided to revise her essay.

Which revision eliminates ambiguity about "she"?

40) The book is engaging.

How does adding specific details improve this sentence?

41) The class taught students how to write essays, how to analyze literature, and public speaking. Many students found it challenging but rewarding.

How can the first sentence be rewritten for parallel structure?

42) The teacher gave the students their assignments. She explained that they were due next week.

Which revision avoids an unclear antecedent?

43) The scientist explained, "The results were inconclusive."

Which option integrates the quotation correctly?

44) The restaurant is popular.

How does adding specific details improve this sentence?

45) There are less books on the shelf than there were yesterday.

Why is "fewer" a better choice than "less" in this sentence?

46) The snow blanketed the town, transforming the rooftops and streets into a sparkling white landscape. Icicles hung from eaves, glittering like crystals in the winter sun.

Which option uses descriptive language effectively?

47) The painting by the young artist is vibrant and full of emotion. Critics argue that it is more striking than any painting displayed in the gallery. However, some viewers noted that other works also possess unique qualities.

Which revision avoids the faulty comparison in the underlined sentence?

48) The new regulations resulted in less delays for travelers.

Why is "fewer" a better word choice than "less"?

49) The company’s electric car is sleek, efficient, and environmentally friendly. Advertisements claim that it is faster than any vehicle on the road. However, test results show that some high-performance models are still quicker.

Which revision avoids the faulty comparison?

50) The recommendations were approved by the committee after much discussion. The committee approved the recommendations after much discussion.

Which sentence uses active voice effectively?

51)
The autumn leaves fell gently to the ground, creating a colorful carpet of reds, oranges, and yellows. The air was crisp, carrying the faint scent of woodsmoke.

Which option uses descriptive language effectively?

52) The manager approved the proposal, and he sent it to the director. He suggested some revisions.

Which revision avoids ambiguity about "he"?

53) The storm swept through the town, tearing roofs from houses and uprooting trees. Rain lashed against windows as fierce winds howled through the streets.

Which option uses vivid and precise language effectively?