1.   A number is divisible by 6 if ______.
    A. the sum of the digits is divisible by 6
    B. the number is divisible by 2 and 3
    C. the ones digit is divisible by 2, and the tens digit is divisible by 3
    D. the last two digits are divisible by 2 and 3
    Hint

  2.   Determine which expression is not a monomial.
    A. -14(-st)(3u) B. 12w(xy + z)
    C. 17p(-qr) D. ab
    Hint

  3.   Write the expression 4 · 4 · 4 · 4 · 4 using exponents.
    A. 55 B. 54
    C. 44 D. 45
    Hint

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

  5.   Find the greatest common factor of 168 and 288.
    A. 2 B. 24
    C. 48 D. 36
    Hint

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

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

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

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

  10.   Write the prime factorization of 500.
    A. 24 · 52 B. 23 · 52
    C. 22 · 53 D. 5 · 102
    Hint

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

  12.   Find
    A. x8 B. 13
    C. 18 D. x3
    Hint

  13.   Write the expression m-7 using a positive exponent.
    A. B.
    C. m7 D. -m7
    Hint

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

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

  16.   Express 0.00186 in scientific notation.
    A. 1.86 × 10-5 B. 1.86 × 10-4
    C. 1.86 × 10-3 D. 1.86 × 103
    Hint



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