1.   Factor 54x3y2
    A. 2 · 33 · x · x · y · y · y
    B. 2 · 27 · x · x · x · y · y
    C. 23 · 3 · x · x · x · y · y
    D. 2 · 33 · x · x · x · y · y
    Hint

  2.   Factor xy – 6 + 2y – 3x.
    A. (xy – 3x) + (2y – 6) B. x(y – 3) + 2(y – 3)
    C. (x – 2)(y – 3) D. (x + 2)(y – 3)
    Hint

  3.   Factor 3y2 + 7y + 4.
    A. (3y + 4)(y + 1) B. (3y + 2)(y + 2)
    C. (3y + 1)(y + 7) D. (3y + 1)(y + 4)
    Hint

  4.   Factor 4y2 – 9.
    A. (2y + 3)(2y + 3) B. prime
    C. (2y + 3)(2y – 3) D. (2y – 3)(2y – 3)
    Hint

  5.   Solve x2x – 72 = 0.
    A. x = -8 B. x = 8 or x = -9
    C. x = -8 or x = 9 D. x = 9
    Hint

  6.   Is 79 prime or composite? If it is composite, what is its factorization?
    A. composite, 7 × 11 B. composite, 13 × 6
    C. composite, 3 × 23 D. prime
    Hint

  7.   If the product of two factors is 0, which of the following cannot be true?
    A. One of the factors is 10.
    B. Both of the factors are 0.
    C. One of the factors is 0.
    D. Neither of the factors is 0.
    Hint

  8.   Factor x2 – 4x – 32.
    A. (x – 16)(x + 2) B. (x – 8)(x + 4)
    C. (x +16)(x – 2) D. (x + 8)(x – 4)
    Hint

  9.   Factor 3x2 – 8x + 3.
    A. not factorable B. (x – 1)(3x – 3)
    C. (3x – 5)(x – 1) D. (3x – 1)(x – 3)
    Hint

  10.   Suppose that we have a 3 ft. × 3 ft. piece of paper, and we cut out a square piece so that the area of the remaining piece is 5 feet. What is the length of a side of the square?
    A. 2 ft. B.
    C. 4 ft. D.
    Hint

  11.   Factor 81x2 – 225.
    A. It is prime. B. 9(9x – 5)(9x + 5)
    C. 9(3x – 5)(3x + 5) D. 9(9x – 25)(9x + 25)
    Hint

  12.   Solve the following: y2 + 6y + 9 = 49.
    A. {–10, 4} B. {10, –4}
    C. {7, –7} D. {7}
    Hint



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