Steply

SAT Practice Test 2: printable

Take it online with a timer Answer key

SAT Practice Test 2: SAT Math

Name: ______________________   Date: __________

2 modules, 35 minutes each. Calculator allowed. Typed answers: a number, fraction or decimal, no units. steplyclass.com/sat-math/sat-practice-test-2/

Module 1

  1. 1 Question 1

    7x − 4 = 24. What is the solution to the given equation?
    1. A) 207
    2. B) 4
    3. C) 28
    4. D) 196

  2. 2 Question 2

    The price of a book goes up from $40 to $50. By what percent did the price go up?

    Answer: ____________

  3. 3 Question 3

    A bike rental costs $10 plus $4 per hour. Mia paid $34. How many hours did she rent the bike?

    Answer: ____________

  4. 4 Question 4

    Which expression is equivalent to x9x3?
    1. A) x3
    2. B) x6
    3. C) x12
    4. D) x27

  5. 5 Question 5

    A triangle has angles of 48°, 75° and x°. What is the value of x?

    Answer: ____________

  6. 6 Question 6

    The function g is defined by g(t) = 4t + 9. What is the value of g(−2)?
    1. A) −17
    2. B) 1
    3. C) 11
    4. D) 17

  7. 7 Question 7

    Which equation shows the line through the points (2, 1) and (4, 7)?
    1. A) y = 3x − 5
    2. B) y = 3x + 1
    3. C) y = 3x + 5
    4. D) y = 6x − 11

  8. 8 Question 8

    x2 + 2x − 15 = 0. What are the solutions to the given equation?
    1. A) −15 and 1
    2. B) −5 and 3
    3. C) −3 and 5
    4. D) 3 and 5

  9. 9 Question 9

    A $200 bike goes down 10%, then down 10%. What is the new price?
    1. A) $38
    2. B) $160
    3. C) $162
    4. D) $180

  10. 10 Question 10

    x + y = 10, x − y = 4. What is the solution (x, y) to the given system of equations?
    1. A) (3, 7)
    2. B) (7, −3)
    3. C) (7, 3)
    4. D) (14, −4)

  11. 11 Question 11

    Which expression is equivalent to (x − 5)2?
    1. A) x2 + 25
    2. B) x2 − 5x + 25
    3. C) x2 − 10x + 25
    4. D) x2 − 10x − 25

  12. 12 Question 12

    3(x + 4) = 27. What is the solution to the given equation?

    Answer: ____________

  13. 13 Question 13

    A car is worth $20000, and its value goes down by 15% each year. Which equation gives the value V of the car, in dollars, t years from now?
    1. A) V = 20000(0.15)t
    2. B) V = 20000(0.85)t
    3. C) V = 20000(1.15)t
    4. D) V = 20000 − 0.15t

  14. 14 Question 14

    A pet shop has cats and dogs. Cats: 16 live indoors, 4 outdoors. Dogs: 10 live indoors, 20 outdoors. A dog is picked at random. What is the probability that this dog lives indoors?
    1. A) 15
    2. B) 13
    3. C) 513
    4. D) 23

  15. 15 Question 15

    If 3x + 12 = 27, what is the value of x + 4?

    Answer: ____________

  16. 16 Question 16

    A right triangle has a hypotenuse of 13 meters and one leg of 5 meters. What is the length of the other leg, in meters?

    Answer: ____________

  17. 17 Question 17

    6x + 1 = 4. What is the solution to the given equation?
    1. A) 12
    2. B) 65
    3. C) 2
    4. D) 18

  18. 18 Question 18

    In the equation x2 − 12x + c = 0, c is a constant. The equation has exactly one solution. What is the value of c?
    1. A) −6
    2. B) 6
    3. C) 36
    4. D) 144

  19. 19 Question 19

    In the system of equations 2x + 5y = 4 and 6x + ky = 7, k is a constant. The system has no solution. What is the value of k?
    1. A) 5
    2. B) 10
    3. C) 15
    4. D) 35

  20. 20 Question 20

    In triangle PQR, angle R is a right angle and cos P = 5/13. What is the value of sin Q?
    1. A) 512
    2. B) 513
    3. C) 1213
    4. D) 135

  21. 21 Question 21

    The functions f and g are defined by f(x) = x2 − 3 and g(x) = 2x + 1. What is the value of f(g(2))?

    Answer: ____________

  22. 22 Question 22

    4(x − 1) = kx + 7. In the given equation, k is a constant. The equation has no solution. What is the value of k?

    Answer: ____________

Module 2

  1. 1 Question 1

    2(x − 3) = 4x + 10. What is the solution to the given equation?
    1. A) −8
    2. B) −132
    3. C) 83
    4. D) 8

  2. 2 Question 2

    Five test scores are 82, 90, 75, 88 and 95. What is the mean of the scores?

    Answer: ____________

  3. 3 Question 3

    What is the value of 272/3?
    1. A) 3
    2. B) 9
    3. C) 18
    4. D) 729

  4. 4 Question 4

    The table shows a linear relationship between x and y. x: 1, 2, 3, 4. y: 7, 11, 15, 19. Which equation shows this relationship?
    1. A) y = x + 6
    2. B) y = 3x + 4
    3. C) y = 4x + 3
    4. D) y = 4x + 7

  5. 5 Question 5

    A 30°-60°-90° triangle has a shorter leg of length 4. What are the lengths of its hypotenuse and its longer leg?
    1. A) hypotenuse 4√2, long leg 4
    2. B) hypotenuse 8, long leg 4√2
    3. C) hypotenuse 8, long leg 4√3
    4. D) hypotenuse 8, long leg 8√3

  6. 6 Question 6

    Which equation shows y = x2 − 8x + 10 in vertex form?
    1. A) y = (x − 8)2 − 54
    2. B) y = (x − 4)2 − 6
    3. C) y = (x − 4)2 + 10
    4. D) y = (x + 4)2 − 6

  7. 7 Question 7

    Shop A charges $24 plus $6 per box. Shop B charges $10 per box. After how many boxes do the two shops cost the same?
    1. A) 4
    2. B) 6
    3. C) 12
    4. D) 24

  8. 8 Question 8

    A lunch costs $40. The tip is 15%. What is the total cost?
    1. A) $6
    2. B) $34
    3. C) $46
    4. D) $55

  9. 9 Question 9

    A ball is thrown up from the ground. Its height after t seconds is h = −16t2 + 80t feet. When does it land?

    Answer: ____________

  10. 10 Question 10

    3x + y = 4 and 12x + ky = 16 have infinitely many solutions. Find k.

    Answer: ____________

  11. 11 Question 11

    2x + 3 = 64. What is the solution to the given equation?
    1. A) 3
    2. B) 6
    3. C) 9
    4. D) 32

  12. 12 Question 12

    Two shapes are similar. A length on the small shape is 2, and the matching length on the large shape is 6. The small shape has an area of 5. What is the area of the large shape?

    Answer: ____________

  13. 13 Question 13

    Which expression is equivalent to x2 − 25x − 5?
    1. A) x − 25
    2. B) x − 5
    3. C) x + 5
    4. D) x2 − 5

  14. 14 Question 14

    The line of best fit for a scatterplot is y = 3x + 2. One of the data points is (4, 11). What is the residual for this point?
    1. A) −3
    2. B) 3
    3. C) 11
    4. D) 14

  15. 15 Question 15

    If 2x − 3y = 5, what is the value of 6x − 9y?
    1. A) 5
    2. B) 10
    3. C) 15
    4. D) 45

  16. 16 Question 16

    What is the average rate of change of f(x) = x2 from x = 1 to x = 5?
    1. A) 4
    2. B) 6
    3. C) 24
    4. D) 26

  17. 17 Question 17

    3x + 2y = 16, x − 2y = 0. What is the solution (x, y) to the given system of equations?
    1. A) (2, 4)
    2. B) (4, −2)
    3. C) (4, 2)
    4. D) (16, 8)

  18. 18 Question 18

    The angles of a triangle measure 2x°, 3x° and 5x°. What is the value of x?
    1. A) 10
    2. B) 18
    3. C) 36
    4. D) 54

  19. 19 Question 19

    The table shows values of the function g. x: −2, −1, 0, 1, 2. g(x): 7, 4, 1, −2, −5. What is the value of g(1)?
    1. A) −5
    2. B) −2
    3. C) 1
    4. D) 4

  20. 20 Question 20

    In the equation cos x° = sin 28°, x is between 0 and 90. What is the value of x?

    Answer: ____________

  21. 21 Question 21

    What is the remainder when x3 − 4x2 + 2x + 5 is divided by x − 3?
    1. A) −64
    2. B) 2
    3. C) 5
    4. D) 74

  22. 22 Question 22

    2(3x − 4) = kx − 8. In the given equation, k is a constant. The equation has infinitely many solutions. What is the value of k?

    Answer: ____________

Answer key

Module 1

  1. B 4
  2. 25
  3. 6
  4. B x6
  5. 57
  6. B 1
  7. A y = 3x − 5
  8. B −5 and 3
  9. C $162
  10. C (7, 3)
  11. C x2 − 10x + 25
  12. 5
  13. B V = 20000(0.85)t
  14. B 13
  15. 9
  16. 12
  17. C 2
  18. C 36
  19. C 15
  20. B 513
  21. 22
  22. 4

Module 2

  1. A −8
  2. 86
  3. B 9
  4. C y = 4x + 3
  5. C hypotenuse 8, long leg 4√3
  6. B y = (x − 4)2 − 6
  7. B 6
  8. C $46
  9. 5
  10. 4
  11. A 3
  12. 45
  13. C x + 5
  14. A −3
  15. C 15
  16. B 6
  17. C (4, 2)
  18. B 18
  19. B −2
  20. 62
  21. B 2
  22. 6

Every answer solved step by step: steplyclass.com/sat-math/sat-practice-test-2/answers/

Steply practice tests are our own questions, written in the style of the digital SAT; they are not official. SAT® is a trademark registered by the College Board, which is not affiliated with, and does not endorse, this site. Free official practice tests: the College Board's Bluebook app.