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

  2.   Find the radius of a circle with the equation x2 + y2 + 6x - 10y + 28 = 0.
    A. 3 B. 6
    C. D. 5
    Hint

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

  4.   Solve 2m2 - 3m -2 0.
    A.
    B.
    C.
    D.
    Hint

  5.   Suppose y varies directly as x, and y = -319 when x = 29. Write a direct variation equation that relates x and y.
    A. B. y = -11x
    C. D. y = 11x
    Hint

  6.   Solve x2 + 7x < –12 algebraically.
    A. {x| –3 < x < –4} B. {x| –4 < x < –3}
    C. {x| 4 < x < 3} D. {x| 3 < x < 4}
    Hint

  7.   Write the equation in standard form.
    A. B.
    C. D.
    Hint

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

  9.   What is an equation for a circle with a center at (3, -1) that is tangent to the line x = 7?
    A. B.
    C. D.
    Hint

  10.   The amount of work done by James and his relative distance to Samuel is inversely related. When James is 6 feet away from Samuel, he can get 13 assignments done per hour. How many assignments can James get done when he is 52 feet away from Samuel?
    A. 59 assignments B. 112.7 assignments
    C. 1.5 assignments D. 24 assignments
    Hint

  11.   Suppose x varies directly with y. If y increases by a factor of 2, what will happen to x?
    A. It will decrease by a factor of 4.
    B. It will decrease by a factor of 2.
    C. It will increase by a factor of 2.
    D. It will increase by a factor of 4.
    Hint

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

  13.   Which conic section is formed by a plane parallel to the y-axis but does not pass through the vertex?
    A. B.
    C. D.
    Hint

  14.   Find the coordinates of the foci of a hyperbola with an equation of
    A. B.
    C. D.
    Hint



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