Free Sat Practice Test (2024) Questions

Question: If 2x - y = 8, and x + 3y = 10, what is the value of x?

Answer: 4

Question: The sum of three consecutive odd integers is 57. What are the integers?

Answer: 19, 21, 23

Question: If a right triangle has legs of lengths 3 and 4, what is the length of the hypotenuse?

Answer: 5

Question: Simplify: (2x^2 - 3x + 1) + (x^2 + 2x - 5)

Answer: 3x^2 - x + 4

Question: If the average of five numbers is 20, what is the sum of the numbers?

Answer: 100

Question: The length of a rectangle is 5 cm more than its width. If the width is w, what is the length?

Answer: w + 5

Question: If f(x) = 2x^2 - 4x + 1, what is f(3)?

Answer: 20

Question: Solve for x: |2x - 7| = 5

Answer: 6

Question: The sum of an integer and twice its square is 20. What is the integer?

Answer: -1

Question: If 4y + 7 = 19, what is the value of y?

Answer: 4

Question: What is the value of √(16 + √9)?

Answer: 4

Question: The area of a trapezoid is given by A = (1/2)(a + b)h. If a = 8, b = 12, and h = 6, what is the area?

Answer: 48

Question: If 2p - 5 = 7, what is the value of p?

Answer: 5

Question: Simplify: 3/5 + 4/7

Answer: 29/35

Question: The ratio of the length to the width of a rectangle is 3:2. If the width is 10 cm, what is the length?

Answer: 18 cm

Question: If 2(x - 3) = 8, what is the value of x?

Answer: 5

Question: The sum of three consecutive integers is 72. What are the integers?

Answer: 23, 24, 25

Question: If 3^a = 81, what is the value of a?

Answer: 4

Question: What is the volume of a cylinder with radius 4 cm and height 10 cm?

Answer: 120π cm^3

Question: Solve for y: 2y/3 = 12

Answer: 12

Question: If 5x + 3 = 18, what is the value of x?

Answer: 3

Question: What is the value of 2^5 * 3^3?

Answer: 864

Question: If the diagonal of a square is 10 cm, what is the length of one side?

Answer: 7 cm

Question: The sum of two numbers is 15, and their difference is 5. What are the numbers?

Answer: 7, 8

Question: Simplify: √(25/9)

Answer: 2/3

Question: If 3x + 2y = 12 and 2x - y = 8, what is the value of x?

Answer: 4

Question: The length of a rectangle is 8 cm less than twice its width. If the width is w, what is the length?

Answer: 2w - 8

Question: If a + b = 15 and a - b = 3, what is the value of a?

Answer: 9

Question: If 2x - y = 8, and x + 3y = 10, what is the value of x?

Answer: 4

Question: The sum of three consecutive odd integers is 57. What are the integers?

Answer: 19, 21, 23

Question: If a right triangle has legs of lengths 3 and 4, what is the length of the hypotenuse?

Answer: 5

Question: Simplify: (2x^2 - 3x + 1) + (x^2 + 2x - 5)

Answer: 3x^2 - x + 4

Question: If the average of five numbers is 20, what is the sum of the numbers?

Answer: 100

Question: The length of a rectangle is 5 cm more than its width. If the width is w, what is the length?

Answer: w + 5

Question: If f(x) = 2x^2 - 4x + 1, what is f(3)?

Answer: 20

Question: Solve for x: |2x - 7| = 5

Answer: 6

Question: The sum of an integer and twice its square is 20. What is the integer?

Answer: -1

Question: If 4y + 7 = 19, what is the value of y?

Answer: 4

Question: What is the value of √(16 + √9)?

Answer: 4

Question: The area of a trapezoid is given by A = (1/2)(a + b)h. If a = 8, b = 12, and h = 6, what is the area?

Answer: 48

Question: If 2p - 5 = 7, what is the value of p?

Answer: 5

Question: Simplify: 3/5 + 4/7

Answer: 29/35

Question: The ratio of the length to the width of a rectangle is 3:2. If the width is 10 cm, what is the length?

Answer: 18 cm

Question: If 2(x - 3) = 8, what is the value of x?

Answer: 5

Question: The sum of three consecutive integers is 72. What are the integers?

Answer: 23, 24, 25

Question: If 3^a = 81, what is the value of a?

Answer: 4

Question: What is the volume of a cylinder with radius 4 cm and height 10 cm?

Answer: 120π cm^3

Question: Solve for y: 2y/3 = 12

Answer: 12

Question: If 5x + 3 = 18, what is the value of x?

Answer: 3

Question: What is the value of 2^5 * 3^3?

Answer: 864

Question: If the diagonal of a square is 10 cm, what is the length of one side?

Answer: 7 cm

Question: The sum of two numbers is 15, and their difference is 5. What are the numbers?

Answer: 7, 8

Question: Simplify: √(25/9)

Answer: 2/3

Question: If 3x + 2y = 12 and 2x - y = 8, what is the value of x?

Answer: 4

Question: The length of a rectangle is 8 cm less than twice its width. If the width is w, what is the length?

Answer: 2w - 8

Question: If a + b = 15 and a - b = 3, what is the value of a?

Answer: 9