1.   If y varies inversely as x and y = 6 when x = 24, find x when y = 12.
    A. 12 B. 48
    C. 144 D. 24
    Hint

  2.   If y varies inversely as x and y = 15 when x = 3, find y when x = 9.
    A. 45 B. 5
    C. 15 D. 3
    Hint

  3.   Find an equation for the graph below.
   
    A. (x + 4)2 + (y - 1)2 = 4 B. (x - 4)2 + (y + 1)2 = 4
    C. (x - 4)2 + (y + 1)2 = 2 D. (x + 4)2 + (y - 1)2 = 2
    Hint

  4.   Which is the graph of 4x2 + 9y2 + 16x -18y -11 = 0?
    A. B.
    C. D.
    Hint

  5.   Find the coordinates of the vertices of a hyperbola with equation
y2 - 4x2 - 6y - 16x - 11 = 0.
    A. (-4, 3), (2, 3) B. (-2, 1), (-2, 5)
    C. (-2, 7), (-2, -1) D. (-6, 3), (2, 3)
    Hint

  6.   Suppose y varies directly as x, and y = -65 when x = -26. Write a direct variation equation that relates x and y.
    A. B.
    C. D.
    Hint

  7.   Use the direct variation equation to find x when y = -34.
    A. x = B. x = -
    C. x = 153 D. x = -153
    Hint

  8.   Solve by graphing.
    A. {x| 0 < x < 3} B. {x| –1.12 < x < 0}
    C. {x| –1.12 < x < 3.12} D. {x| 0 < x < 3.12}
    Hint

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

  10.   Which of the following parabolas opens right?
    A. B.
    C. D.
    Hint

  11.   What is an equation for a circle if the endpoints of a diameter are at (3, 4) and (-3, -2)?
    A. B.
    C. D.
    Hint

  12.   Find the directrix of x2 = 9y.
    A. B.
    C. D. y = 0
    Hint

  13.   What best describes the conic section shown?
   
    A. point of intersection B. circle
    C. parabola D. hyperbola
    Hint

  14.   Which conic section is formed by a plane intersecting only the vertex?
    A. B.
    C. D.
    Hint



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