1.   Solve  x2 - 4x + 1 = 0 by completing the square.
    A. 2 B. 1
    C. D.
    Hint

  2.   Solve x2 - 6x + 10 = 0 by completing the square.
    A. 1 ± i B. 3 ± i
    C. -3 ± i D. 2, 4
    Hint

  3.   Solve  x2 + 7x + 8 = 0.
    A. B.
    C. D.
    Hint

  4.   Find a quadratic equation with roots and .
    A. 8x2 - 3x + 14 = 0 B. 4x2 - x + 6 = 0
    C. 8x2 - 14x + 3 = 0 D. 4x2 - 6x + 1 = 0
    Hint

  5.   Find a quadratic equation that has roots 6 + 2i and 6 - 2i.
    A. x2 - 12x + 40 = 0 B. x2 + 12x + 40 = 0
    C. x2 - 12x - 40 = 0 D. x2 +12x - 40 = 0
    Hint

  6.   What is the y-intercept of the function y = 2x2 + 1
    A. 1 B. 3
    C. 0 D. none
    Hint

  7.   Which of the following graphs best represents the function y = –x2 + 7x + 8?
    A. B.
    C. D.
    Hint

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

  9.   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 –1 and 0, and between 3 and 4
    B. between –2 and -1, and between 4 and 5
    C. between –2 and–1, and between 3 and 4
    D. between –1 and 0, and between 4 and 5
    Hint

  10.   Find the value for the discriminant for the following equation: . Then describe the number and type of roots.
    A. The discriminant is 100, which is a perfect square; therefore, there are two rational roots B. The discriminant is 100, which is not a perfect square; therefore, there are two irrational roots
    C. The discriminant is negative, so there are two complex roots. D. The discriminant is 96, which is not a perfect square; therefore, there are two irrational roots.
    Hint

  11.   Which of the following functions will have the widest graph?
    A. y = x2 +3x + 1 B. y = –2x2 + 5x – 1
    C. y = 3x2 – 8 D. y = x2 + x – 3
    Hint

  12.   What is the equation of the parabola whose vertex is at (-3, 1) and passes through the point (-2, 4)?
    A. B.
    C. D.
    Hint

  13.   When is it true that x2 + x > –2?
    A. B. all real numbers
    C. D.
    Hint

  14.   Solve by graphing.
    A. {x| –1.19 < x < 0}
    B. {x| –1.19 < x < 4.19}
    C. {x| 0 < x < 4.19}
    D. {x| 4.19< x < –1.19}
    Hint



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