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

  2.   An expression for the area of a rectangle is xy – 2x + 3y – 6. Express this area in factored form.
    A. (xy – 2x)( 3y – 6) B. x(y – 2) + 3(y – 2)
    C. (x + 3)(y – 2) D. (x – 2)(y + 3)
    Hint

  3.   Factor
    A. B.
    C. prime D.
    Hint

  4.   Solve 5x2 – 10x = 0.
    A. x = 0 B. x = 0 or x = -2
    C. x = 2 D. x = 0 or x = 2
    Hint

  5.   Solve 4y2 – 25 = 0.
    A. B. or
    C. D.
    Hint

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

  7.   Factor x2 + 6x – 7.
    A. (x + 1)(x – 7) B. (x – 1)(x + 7)
    C. (x – 3)(x – 3) D. (x + 3)(x + 3)
    Hint

  8.   Joanne has a garden that is 9 feet long by 6 feet wide. She wants to increase the dimensions of the garden by the same amount, and have the area of the new garden be 5 times the area of the present garden. What should the new dimensions be?
    A. length = 30 ft
width = 24ft
B. length = 24 ft
width = 30 ft
    C. length = 18 ft
wideth = 15ft
D. length = 15 ft
width = 18 ft
    Hint

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

  10.   Solve –3x2 + 5x + 12 = 0.
    A. B.
    C. D.
    Hint

  11.   Solve the equation x2 x + = 0.
    A. B.
    C. D.
    Hint

  12.   Solve the following: (q + 2)2 = 25.
    A. {–7, 3} B. {–7}
    C. {3} D. {–3, 3}
    Hint



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