1.   Choose the false statement.
    A. All multiples of 9 are divisible by 3 because 9 = 3 × 3.
    B. Since 10 = 2 × 5, a number divisible by 10 is also divisible by 2 and by 5.
    C. If a number is divisible by 2 then it is divisible by 4 because 4 = 2 × 2.
    D. No odd numbers are divisible by 4.
    Hint

  2.   Solve x = 34.
    A. x = 12 B. x = 27
    C. x = 64 D. x = 81
    Hint

  3.   Find y for y = x2 - 15 if x = 6.
    A. 49 B. -3
    C. 51 D. 21
    Hint

  4.   What is the greatest common factor of 45, 75, and 135?
    A. 15 B. 25
    C. 9 D. 5
    Hint

  5.   Express the ratio 12gh:30h2g in simplest form.
    A. B.
    C. D.
    Hint

  6.   Simplify
    A. B.
    C. D. 2ab2
    Hint

  7.   Write a2b-3 using positive exponents.
    A. B.
    C. D.
    Hint

  8.   The diameter of a volcanic particle averaged 0.000022 meter. What is this measure written in scientific notation?
    A. 2.2 × 10-5
    B. 0.22 × 10-4
    C. 2.2 × 105
    D. 2.2 × 10
    Hint

  9.   The number 250 is divisible by which number(s) from the following list? 2, 3, 5, 6, or 10
    A. 2, 5, and 10 only B. 5 and 10 only
    C. All of 2, 3, 5, 6, and 10 D. 2, 3, and 6 only
    Hint

  10.   Write the prime factorization of 756.
    A. 22 · 33 · 7 B. 22 · 3 · 63
    C. 23 · 33 · 7 D. 2 · 35 · 7
    Hint

  11.   Factor 39x2y3.
    A. 3 · 13 · x2 · y2 · y
    B. 3 · 13 · x · x · y · y · y
    C. 3 · 13 · x · y · y · y
    D. 39 · x · x · y · y · y
    Hint

  12.   Factor 15x3 - 5x2.
    A. x2 (15x – 5) B. 5x2 (3x – 1)
    C. 5x(3x2 - x) D. x(15x2 - 5x)
    Hint

  13.   Simplify
    A. B. Already simplified
    C. D.
    Hint

  14.   Find (-3y3)(4y2).
    A. 12y5 B. 12y6
    C. -12y6 D. -12y5
    Hint

  15.   Write as an expression using a negative exponent.
    A. B.
    C. 2-6 D. -26
    Hint

  16.   Express 35,329 in scientific notation.
    A. 3.5329 × 104 B. 3.5329 × 10-4
    C. 3.5329 × 105 D. 35.329 × 103
    Hint



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