1.   Find two real numbers whose sum is 12 and whose product is 32.
    A. 8 and 4 B. 7 and 5
    C. no solution D. 2.25 and –14.25
    Hint

  2.   Solve by graphing. If exact roots cannot be found, state the consecutive integers between which the roots are located.
    A. 1, 2 B. between 0 and 1, and 1 and 2
    C. between –1 and 0, and 1 and 2 D. between 0 and 1, and 2 and 3
    Hint

  3.   Solve by graphing.
    A. x = 2 B. x = –2
    C. x = 0 D. no real roots
    Hint

  4.   A quadratic function has two real roots. How many times does the graph cross the x-axis?
    A. 0 B. 2
    C. cannot be determined from given information. D. 1
    Hint

  5.   Solve -x2 + 3x + 5 = 0 by graphing. If exact roots cannot be found, state the consecutive integers between which the roots are located.
    A. between –2 and -1, and between 4 and 5
    B. between –1 and 0, and between 4 and 5
    C. between –1 and 0, and between 3 and 4
    D. between –2 and–1, and between 3 and 4
    Hint



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