1.   Find (c2 + 2c - 6)(c + 5).
    A. c3 + 2c2 - 6c - 30
    B. c3 + 2c2 + 5
    C. c3 + 7c2 + 4c - 30
    D. c3 + 2c2 - 30
    Hint

  2.   Find the area of the parallelogram.
   
    A. (12a2 + 14b2) cm2
    B. (36a2 + 49b2) cm2
    C. (36a2 - 84ab - 49b2) cm2
    D. (36a2 - 49b2) cm2
    Hint

  3.   Find the difference (-3x3 – 7x2 + 5x – 4) – (6x2 – 8).
    A. –3x3 – 13x2 + 5x + 4 B. –3x3x2 + 5x - 12
    C. –3x3 – 13x2 + 5x - 12 D. -11x8 + 4
    Hint

  4.   Find the sum (4xy2 – 3x2y – 5xy – 6) + (-5xy2 – 2xy + 3).
    A. 4xy2 – 7xy – 3 B. -xy2 – 3x2y – 7xy – 3
    C. 4xy2 – 8x2y – 7xy – 3 D. -xy2 – 3x2y – 3xy – 3
    Hint

  5.   Find the GCF of 14a2b4c and 56ab2c2
    A. 14a2b4c2 B. 56ab2c
    C. 56a2b2c2 D. 14ab2c
    Hint

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

  7.   Factor 6y2 + 22y – 8.
    A. (2y– 4)(3y + 2) B. (6y – 1)(y + 8)
    C. 2(3y – 1)(y + 4) D. 2(3y – 2)(y + 2)
    Hint

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

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

  10.   What is the GCF of
    A. 3n B. p2
    C. np D. n
    Hint

  11.   Factor 4x2 – 5x – 6.
    A. B.
    C. (4x + 3)(x – 2) D.
    Hint

  12.   Simplify 5(2k2 – 3k) – 6k(–k2 + k – 7).
    A. 6k3 + 4k2 – 5k B. –6k3 + 4k2 + 27k
    C. 6k3 + 4k2 + 27k D. –6k3 + 4k2 – 5k
    Hint

  13.   Factor x2 – 7x + 12.
    A. (x – 3)(x – 4) B. (x – 6)(x – 2)
    C. (x + 6)(x + 2) D. (x + 3)(x + 4)
    Hint

  14.   Determine whether the trinomial 9x2 – 60x + 25 is a perfect square trinomial. If so, factor it.
    A. (3x + 5)(3x + 5) B. (3x – 5)(3x + 5)
    C. (3x – 5)(3x – 5) D. It is prime.
    Hint

  15.   What is the area a triangle if b = 2y and h = 3x + 5?
    A. 3xy + 5 B. 6xy + 10y
    C. 3xy + 5y D.
    Hint

  16.   Factor 5xyz - 5xyw - 5xmz + 5xmw.
    A. (z + w)(5xy + 5xm) B. (z - w)(xy - xm)
    C. (z - w)(5xy - 5xm) D. (5z - w)(xy + xm)
    Hint

  17.   Factorx2 - 7x + 12.
    A. (x + 6)(x + 2) B. (x - 3)(x - 4)
    C. (x + 3)(x + 4) D. (x - 6)(x - 2)
    Hint

  18.   What is the coefficient of the second term in the polynomial expansion for (a + b)3?
    A. 3 B. 5
    C. 2 D. 4
    Hint



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