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Pre Algebra/intensive (diagnostic)
  • 1. Insert parentheses to make the equation 9 + 6 × 2 ÷ 3 – 1 = 12 true.
A) 9 + 6 × 2 ÷ (3 - 1) = 12
B) (9 + 6 × 2) ÷ 3 - 1 = 12
C) (9 + 6) × 2 ÷ 3 - 1 = 12
D) 9 + (6 × 2) ÷ 3 - 1 = 12
  • 2. Solve 18/Y = 6 mentally.
A) 2
B) 12
C) 24
D) 3
  • 3. Name the ordered pair for point A.
A) (1,4)
B) (4,2)
C) (4,1)
D) (2,4)
  • 4. Evaluate 10b + 3c, if b = 3 and c = 11.
A) 27
B) 43
C) 66
D) 63
  • 5. Find 50 · (13 · 2) mentally.
A) 1,200
B) 750
C) 1,300
D) 130
  • 6. The ordered pair (1, 4) is in which quadrant?
A) I
B) II
C) III
D) IV
  • 7. What is the sum of –32 and –16?
A) -48
B) 2
C) -2
D) -16
  • 8. Find the product of 2 and -5m.
A) -10m
B) -10
C) 10m
D) -3m
  • 9. What is another way to write (6 + 7)x?
A) 6(x) + 7
B) 6(x) × 7(x)
C) 6 + 7(x)
D) 6(x) + 7(x)
  • 10. Find the solution for the equation w - 13 = -4.
A) w = 17
B) w = -9
C) w = -17
D) w = 9
  • 11. What is the solution of -64 = 16y?
A) y = 4
B) y = -4
C) y = 9
D) y = -8
  • 12. Simplify 2n + 6(n – 7).
A) 15n
B) 8n - 7
C) n
D) 8n - 42
  • 13. The number 64 is divisible by which of the following?
A) 5
B) 4
C) 3
D) 6
  • 14. Factor –15x2.
A) -1 · 3 · 5 · x2
B) 3 · 5 · x · x
C) -1 · 3 · 5 · x · x
D) 3 · 5 · x2
  • 15. Find (14b5)(-1b6).
A) -14B11
B) -14B30
C) 14B30
D) 14B11
  • 16. Express 2.629 × 107 in standard form.
A) 0.0000002629
B) 2,629
C) 26,290,000
D) 2,629,000
  • 17. Seventeen is what percent of sixty-eight?
A) 40
B) 25
C) 30
D) 32
  • 18. What is 45% written as a fraction in simplest form?
A) 1/3
B) 4/5
C) 9/20
D) 1/2
  • 19. Find 27% of 42.
A) 0.1134
B) 1.134
C) 113.4
D) 11.34
  • 20. How much would a bicycle cost if it is marked down 12% from its original price of $258?
A) $288.96
B) $215.00
C) $227.04
D) $30.69
  • 21. Solve x + 17 > 39.
A) X < 22
B) X < 56
C) X > 56
D) x > 22
  • 22. Solve 5(k – 2) = 10(3k + 9).
A) 7/2
B) 2/7
C) 7/4
D) 4/7
  • 23. What are the x- and y-intercepts of the graph below?
A) (0,-2); (0, -4)
B) (-2, 0); (0, -4)
C) (0,2); (0,4)
D) (2, 0); (0, 4)
  • 24. State the slope of the graph of 6x + 3y = 10.
A) -10/3
B) 10/3
C) 2
D) -2
  • 25. Find the circumference of the circle.
A) 47.76 cm
B) 48.98 cm
C) 191.04 cm
D) 24.49 cm
  • 26. Simplify 5(3+2)2
A) 30
B) 356
C) 60
D) 650
  • 27. Solve a - 8 = 32 using inverse operations.
A) a = 8
B) a = 40
C) a = 24
D) a = 4
  • 28. Simplify (-16c) - (-4c).
A) -12c
B) 20c
C) -20c
D) 12c
  • 29. Simplify (v + 6)3.
A) v + 18
B) 3v + 6
C) 3v + 18
D) 9v
  • 30. Simplify 3.234 + 12.543
A) 12.543
B) 15.734
C) 15.777
D) 15.700
  • 31. Simplify (2.32) (1.9)
A) 4.408
B) 4.408
C) 44.08
D) 4408
  • 32. Simplify 14(b – 10).
A) 4b
B) b - 140
C) 14b - 140
D) 14b - 10
  • 33. What value of x makes x + 27 = 13 a true statement?
A) x = 40
B) x = 14
C) x = -14
D) x = -40
  • 34. Simplify 1.432 - 0.402
A) 1.03
B) 1.032
C) 1.832
D) 1.43
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