1.   If rectangle ABCD has vertices A(0, 0), B(a, 0), and C(a, b), find the coordinates of D.
    A. (a, 0) B. (0, b)
    C. (0, -b) D. (0, 3)
    Hint

  2.   Write the general form of the equation of the circle that passes through the points at (4, 2), (3, 1), and (2, 6).
    A. x2 + y2 2x 4y + 20 = 0
    B. x2 + y2 2x + 4y 20 = 0
    C. x2 + y2 + 2x 4y 20 = 0
    D. x2 + y2 + 2x + 4y 20 = 0
    Hint

  3.   Write the equation of the ellipse whose center is at the origin, a = 6, and .
    A.
    B.
    C. or
    D. or
    Hint

  4.   Find the equation of the hyperbola with foci at (8, 2) and (-4, 2) whose transverse axis is 10 units long.
    A. B.
    C. D.
    Hint

  5.   Find the standard form of the equation x2 - 5y2 - 2x - 10y - 9 = 0.
    A. B.
    C. D.
    Hint

  6.   Write the equation of the parabola whose vertex is at (-6, 2) and whose focus is at (4, 2).
    A. (y - 2)2 = 40(x - 4) B. (x - 2)2 = 40(y + 6)
    C. (y - 2)2 = 40(x + 6) D. (x - 2)2 = -40(y + 6)
    Hint

  7.   Identify the conic section represented by the equation
2x2 - 6x + 2y2 + 12y + 18 = 0.
    A. ellipse B. parabola
    C. circle D. hyperbola
    Hint

  8.   In the general equation of a conic, B = 0, A = C = 1, D = -4, E = -6, and F = 4. Write the equation in standard form.
    A. (x - 2)2 + (y + 3)2 = 9 B. (x - 2)2 + (y - 3)2 = 9
    C. (x - 3)2 + (y - 2)2 = 9 D. (x - 3)2 + (y + 2)2 = 9
    Hint

  9.   Write an equation in general form of y = x2 - x + 5 for T(1, -2).
    A. x2 - 3x - y - 5 = 0 B. x2 - 3x - y + 5 = 0
    C. x2 + 3x - y + 5 = 0 D. x2 - 3x + y + 5 = 0
    Hint

  10.   Solve the system of equations algebraically.
x - y + 2 = 0
x2 + y2 = 10
    A. (-1, -3), (3, 1) B. (4, 6)
    C. (1, 3) D. (-3, -1), (1, 3)
    Hint

  11.   Graph the system of inequalities and .
    A. B.
    C. D.
    Hint

  12.   Find the distance between points (5, 4) and (-2, -3). Round to the nearest tenth.
    A. 14 B. 9.9
    C. 7.1 D. 3.2
    Hint

  13.   Write the equation of a circle that passes through points (1, 2), (-1, 4) and (-3, 2) in standard form.
    A. (x + 1)2 + (y - 2) 2 = 4
    B. (x - 1) 2 + (y + 3) 2 = 4
    C. (x + 1) 2 + (y - 3) 2 = 4
    D. (x - 1) 2 + (y - 2) 2 = 4
    Hint

  14.   Write an equation of an ellipse with foci at (2, 0) and (-2, 0) and a = 4.
    A.
    B.
    C.
    D.
    Hint

  15.   Find the vertex of the parabola with equation of x2 = 3y + 12.
    A. (4, 0) B. (12, 0)
    C. (0, -12) D. (0, -4)
    Hint

  16.   Write an equation in general form of for T(2,-3).
    A.
    B.
    C.
    D.
    Hint