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Sample Math Tests

Directions: Solve each problem and choose the correct answer. For some questions, the fifth choice for an answer will be "Not Given." Whenever none of the first four possible answers is correct, choose "Not Given" as your answer.

Feel free to find a pencil and paper before you start, and to make notes and calculations.

Do not linger over problems that take too much time. Solve as many as you can; then return to the others in the time you have left.

Note: not all browsers are capable of displaying special mathematical characters.

Numerical Skills

  1. 0.05 + 0.03 =
    0.08
    0.305
    0.35
    0.38
    Not Given

  2. 0.35 ÷ 5 =
    0.07
    0.70
    1.75
    7.00
    Not Given

  3. On a road map with a scale of ¼ inch per 10 miles, the highway from Waukee to Winterset is 1 3/8 inches long. How many miles long is this highway?
    44
    55
    65
    70
    90

  4. The price of gasoline has increased by 5% during the past month. If the price per gallon a month ago was $1.20, what is the current price per gallon?
    $1.24
    $1.25
    $1.26
    $1.70
    $1.80

  5. -2(3-4-5)
    -12
    -8
    8
    12
    24

  6. Which of the following fractions is equivalent to 0.05
    1/5
    1/20
    1/25
    1/50
    1/200

Elementary Algebra

  1. If 5 x 10n = 0.005, then n = ?
    -5
    -3
    -4
    2
    3

  2. If x = -3, then x2 - 2x + 1 = ?
    16
    4
    1
    -11
    -14

  3. Which of the following gives 6a2b3 - 3a2b in factored form?
    3a2b(2b2)
    3a2(2b2-1)
    3ab(2ab2-1)
    3a2b(2b2-1)
    a2b(6b2-1)

  4. For all x ≠ 0 and y ≠ 0, simplify the equation:



    9x3y8







Intermediate Algebra

  1. What are all the real values of χ that are solutions for the inequality |χ-2| ≤ 6 ?
    -8 ≤ χ ≤ -4
    -8 ≤ χ ≤ 4
    -8 ≤ χ ≤ 8
    -4 ≤ χ ≤ 4
    -4 ≤ χ ≤ 8

  2. If 3x - 2 = 2y and y = 3z + 5, which is the following is equal to x?
    z + 2
    Z + 7/3
    z + 5
    2z + 4
    3z + 7

  3. What is the distance between the points with (x,y) coordinates (3,-2) and (-3,-1)?
    √7
    √37
    √11
    3
    7

College Algebra

  1. log 8 + log 2 = ?
    log 4
    log 10
    log 16
    log 64
    log 256

  2. If f(x) = x2 - 2, then f(a + 2) = ?
    a2 + 4a + 4
    a2 + 4a + 2
    a2 + 4a
    a2 + 2
    a2

  3. For 0° < x < 90°, how many solutions are there for the equation 2 sin x = cos x ?
    0
    1
    2
    3
    4