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SAT Practice Test 1: printable

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SAT Practice Test 1: 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-1/

Module 1

  1. 1 Question 1

    4x + 9 = 33. What is the solution to the given equation?
    1. A) 6
    2. B) 212
    3. C) 24
    4. D) 96

  2. 2 Question 2

    What is 35% of 60?

    Answer: ____________

  3. 3 Question 3

    A dog walker charges $8 plus $6 per hour. A walk costs $38. How many hours was the walk?
    1. A) 5
    2. B) 193
    3. C) 233
    4. D) 30

  4. 4 Question 4

    Which expression is equivalent to (x2)(x6)?
    1. A) x8
    2. B) 2x8
    3. C) x12
    4. D) 2x12

  5. 5 Question 5

    Two angles form a straight line. One measures 112° and the other measures x°. What is the value of x?

    Answer: ____________

  6. 6 Question 6

    The function f is defined by f(x) = 3x − 7. What is the value of f(5)?
    1. A) −4
    2. B) 1
    3. C) 8
    4. D) 22

  7. 7 Question 7

    What is the slope of the line through (1, 2) and (4, 11)?
    1. A) 13
    2. B) 3
    3. C) 9
    4. D) 133

  8. 8 Question 8

    x2 − 7x + 10 = 0. What are the solutions to the given equation?
    1. A) −5 and −2
    2. B) 1 and 10
    3. C) 2 and 5
    4. D) 3 and 4

  9. 9 Question 9

    A $80 jacket goes up 25%, then down 20%. What is the new price?
    1. A) $64
    2. B) $80
    3. C) $84
    4. D) $100

  10. 10 Question 10

    y = 2x − 1, 3x + y = 14. What is the solution (x, y) to the given system of equations?
    1. A) (3, 5)
    2. B) (3, 7)
    3. C) (5, 3)
    4. D) (15, 29)

  11. 11 Question 11

    Which expression is equivalent to 4(3x − 2) − 5x?
    1. A) 7x − 8
    2. B) 7x − 2
    3. C) 7x + 8
    4. D) 17x − 8

  12. 12 Question 12

    2x5 = 6. What is the solution to the given equation?

    Answer: ____________

  13. 13 Question 13

    A town has 3000 people, and its population grows by 4% each year. Which equation gives the population P of the town t years from now?
    1. A) P = 3000(0.04)t
    2. B) P = 3000(0.96)t
    3. C) P = 3000(1.04)t
    4. D) P = 3000(1.4)t

  14. 14 Question 14

    Students were asked how they get to school. Juniors: 14 by bus, 6 by car. Seniors: 9 by bus, 21 by car. A senior is picked at random. What is the probability that this senior goes by car?
    1. A) 310
    2. B) 2150
    3. C) 710
    4. D) 79

  15. 15 Question 15

    If 5x − 10 = 35, what is the value of x − 2?

    Answer: ____________

  16. 16 Question 16

    A right triangle has legs of length 9 and 12. What is the length of the hypotenuse?

    Answer: ____________

  17. 17 Question 17

    √(x + 7) = x + 1. What is the solution to the given equation?
    1. A) −3
    2. B) −3 and 2
    3. C) 2
    4. D) 3

  18. 18 Question 18

    In the equation x2 + 14x + c = 0, c is a constant. The equation has exactly one solution. What is the value of c?
    1. A) 7
    2. B) 14
    3. C) 49
    4. D) 196

  19. 19 Question 19

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

  20. 20 Question 20

    A is an acute angle in a right triangle, and sin A = 5/13. What is the value of tan A?
    1. A) 512
    2. B) 1213
    3. C) 1312
    4. D) 125

  21. 21 Question 21

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

    Answer: ____________

  22. 22 Question 22

    5(x − 2) = 5x + k. In the given equation, k is a constant. The equation has infinitely many solutions. What is the value of k?

    Answer: ____________

Module 2

  1. 1 Question 1

    5x − 3 = 2x + 12. What is the solution to the given equation?
    1. A) 97
    2. B) 3
    3. C) 5
    4. D) 15

  2. 2 Question 2

    y varies directly with x. When x = 5, y = 15. What is the value of y when x = 8?

    Answer: ____________

  3. 3 Question 3

    Which expression is equivalent to (3x2)3?
    1. A) 9x5
    2. B) 9x6
    3. C) 27x5
    4. D) 27x6

  4. 4 Question 4

    The table shows a linear relationship between x and y. x: 0, 1, 2, 3. y: 40, 35, 30, 25. Which equation shows this relationship?
    1. A) y = −5x + 25
    2. B) y = −5x + 40
    3. C) y = 5x + 40
    4. D) y = 40x − 5

  5. 5 Question 5

    A 45°-45°-90° triangle has legs of length 5. What is the length of the hypotenuse?
    1. A) 5
    2. B) 5√2
    3. C) 5√3
    4. D) 10

  6. 6 Question 6

    Which equation shows y = x2 + 6x + 5 in vertex form?
    1. A) y = (x − 3)2 − 4
    2. B) y = (x + 3)2 − 4
    3. C) y = (x + 3)2 + 5
    4. D) y = (x + 6)2 − 31

  7. 7 Question 7

    A tutor charges $20 plus $15 an hour. The bill was $80. How many hours was the job?

    Answer: ____________

  8. 8 Question 8

    A coat costs $120. It is 35% off. What is the sale price?
    1. A) $42
    2. B) $78
    3. C) $85
    4. D) $162

  9. 9 Question 9

    A ball is thrown up from the ground. Its height after t seconds is h = −16t2 + 96t feet. When does it land?
    1. A) 3 seconds
    2. B) 6 seconds
    3. C) 16 seconds
    4. D) 96 seconds

  10. 10 Question 10

    In the system of equations 2x − y = 3 and 6x + ky = 9, k is a constant. The system has infinitely many solutions. What is the value of k?

    Answer: ____________

  11. 11 Question 11

    5x − 1 = 125. What is the solution to the given equation?
    1. A) 2
    2. B) 3
    3. C) 4
    4. D) 25

  12. 12 Question 12

    Two triangles are similar. The first has sides 5, 12 and 13. The matching sides of the second are 15, 36 and x. What is the value of x?

    Answer: ____________

  13. 13 Question 13

    Which expression is equivalent to x2 − 16x + 4?
    1. A) x − 16
    2. B) x − 4
    3. C) x + 4
    4. D) x2 − 4

  14. 14 Question 14

    People were asked if they like a new street plan. People who walk: 18 yes, 12 no. People who drive: 27 yes, 43 no. One of the people who walk is picked at random. What is the probability that this person said yes?
    1. A) 950
    2. B) 25
    3. C) 35
    4. D) 910

  15. 15 Question 15

    If 6a + 9b = 24, what is the value of 2a + 3b?
    1. A) 8
    2. B) 12
    3. C) 21
    4. D) 72

  16. 16 Question 16

    x2 − 6x + 10 = 0. How many solutions does the given equation have?
    1. A) zero
    2. B) exactly one
    3. C) exactly two
    4. D) infinitely many

  17. 17 Question 17

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

  18. 18 Question 18

    The angles of a triangle measure 3x°, 4x° and 5x°. What is the value of x?
    1. A) 12
    2. B) 15
    3. C) 30
    4. D) 60

  19. 19 Question 19

    The graph of y = f(x) passes through the points (−2, 5), (−1, 0), (0, −3), (1, −4), (2, −3), (3, 0) and (4, 5). For which values of x is f(x) = 0?
    1. A) −3
    2. B) −1 and 3
    3. C) 1
    4. D) −2 and 4

  20. 20 Question 20

    In the equation sin x° = cos(3x − 10)°, x is between 0 and 90. What is the value of x?

    Answer: ____________

  21. 21 Question 21

    What is the remainder when x3 + 2x2 − 5x + 1 is divided by x − 2?
    1. A) 1
    2. B) 7
    3. C) 11
    4. D) 27

  22. 22 Question 22

    3(2x + 1) = kx + 5. In the given equation, k is a constant. The equation has no solution. What is the value of k?

    Answer: ____________

Answer key

Module 1

  1. A 6
  2. 21
  3. A 5
  4. A x8
  5. 68
  6. C 8
  7. B 3
  8. C 2 and 5
  9. B $80
  10. A (3, 5)
  11. A 7x − 8
  12. 15
  13. C P = 3000(1.04)t
  14. C 710
  15. 7
  16. 15
  17. C 2
  18. C 49
  19. C 4
  20. A 512
  21. 19
  22. −10

Module 2

  1. C 5
  2. 24
  3. D 27x6
  4. B y = −5x + 40
  5. B 5√2
  6. B y = (x + 3)2 − 4
  7. 4
  8. B $78
  9. B 6 seconds
  10. −3
  11. C 4
  12. 39
  13. B x − 4
  14. C 35
  15. A 8
  16. A zero
  17. B (2, 3)
  18. B 15
  19. B −1 and 3
  20. 25
  21. B 7
  22. 6

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