1.   Factor 144 completely.
    A. 12 · 12 B. 4 · 4 · 9
    C. 2 · 2 · 2 · 2 · 3 · 3 D. 3 · 3 · 4 · 4
    Hint

  2.   What is the greatest common factor of 18mn2, 54m4, and 80n3?
    A. 2mn2 B. 2
    C. 9mn D. 18m2n3
    Hint

  3.   Which fraction can be expressed as in simplest form?
    A. B.
    C. D.
    Hint

  4.   Simplify the expression (-4a2)(3a2).
    A. -1a4 B. 12a-2
    C. -12a4 D. 12a2
    Hint

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

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

  7.   The number 97 is divisible by which of the following?
    A. 6 B. 5
    C. None of these D. 3
    Hint

  8.   Write 3 · x · x · x · x · y · y · y · y using exponents.
    A. 3>x4y3 B. 3x4y4
    C. 34x4y4 D. 3xy8
    Hint

  9.   Evaluate 7(ab)3 if a = 3 and b = 1.
    A. 56 B. 8
    C. 42 D. 28
    Hint

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

  11.   Find the GCF of 17r4s4 and 23rs4.
    A. rs4 B. rs
    C. r4s4 D. 17rs4
    Hint

  12.   Eight feet is what part of 10 yards? Write your answer as a fraction in simplest form.
    A. B.
    C. D.
    Hint

  13.   Find (14b5)(-1b6).
    A. 14b11 B. 14b30
    C. -14b11 D. -14b30
    Hint

  14.   Write the expression 5-4 using a positive exponent.
    A. -54 B.
    C. D. 54
    Hint

  15.   Evaluate x-4 if x = 3.
    A. B.
    C. 81 D. -81
    Hint

  16.   Express 3.456 × 10-4 in standard form.
    A. 0.3456 B. 34,560
    C. 0.0003456 D. 0.003456
    Hint



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