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Algebra and Probability Practice Problems for McGraw-Hill's ASVAB

By — McGraw-Hill Professional
Updated on Jun 26, 2011

The study guides for this practice quiz can be found at:

Circle the letter that represents the best or correct answer. If any of your answers were wrong, go back and study the relevant section of the algebra review.

  1. The phrase "some number plus 20" is the same as
    1. j + 20
    2. j – 20
    3. j × 20
  2. Evaluate: a + 2(b) – c if a = 5, b = 3, and c = 2
    1. 7
    2. 9
    3. 10
    4. 11
  3. Solve for z: 32 + –z = 12
    1. –20
    2. –12
    3. 12
    4. 20
  4. The proportion "a is to b is as 3 is to 6" can be represented as
    1. a + b = 3 + 6
    2. a × b = 3 × 6 + 45
    3. a(3) + b(6)
  5. Solve for each variable.
      y + g = 12 and 2y + 3g = 16
    1. g = 15, y = —3
    2. g = 5, y = 7
    3. g = 1, y = 11
    4. g = –8, y = 20
  6. Add:
    1. –45g
    2. 45g
    3. 45g2
    4. 135g
  7. Subtract:
    1. –230
    2. –30
    3. 30
    4. 230
  8. Multiply: (g3)(g12)
    1. g–3
    2. g15
    3. g–15
    4. g36
  9. Add:
      g2 + gh + h2 + 3g2 + 4gh + 3h2 =
    1. 2g2 + 3gh + 2h2
    2. 2g2 + 5gh + 4h2
    3. 4g2 + 5gh + 4h2
    4. 4g2 + 3gh + 2h2
  10. Multiply:
      3h – 2m
      × 2h + m
    1. 5h2 + 3m2
    2. 6h2hm – 2m2
    3. 6h2 + 5hm + 2m2
    4. 6h2 + 4hm + 2m2
  11. Factor: x2 + 4x – 12
    1. (2x2 + 1 + 6)(–x2 + 3x – 2)
    2. (x + 6)(x – 2)
    3. (x + 4)(x + 3)
    4. (x2 + 2)(x–2 + 4)
  12. Reduce to lowest terms:
    1. x – 2
    2. _
  13. Multiply:
  14. Divide:
  15. Which equation is represented by the following graph?
    1. 2x + y = 0
    2. x2 + 1 = 0
    3. x + y = 5
    4. 2x + y = 7
  16. Using a number cube with sides labeled 1 through 6, what is the probability of throwing a 3 or a 4?
    1. 2 in 4
    2. 1 in 3
    3. 2 in 8
    4. 1 in 9

Answers

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