1.   If M(5, -4) is the midpoint of and C has coordinates (9, -2), find the coordinates of D.
    A. (-3, 7) B. (7, -3)
    C. (-6, 1) D. (1, -6)
    Hint

  2.   The vertices of a rectangle are at (0, -2), (2, 0), (-1, 3), and (-3, 1). Find the area of the rectangle.
    A. 12 units2 B. 144 units2
    C. units2 D. units2
    Hint

  3.   Write the standard form of the equation of the circle that is tangent to the y-axis and has its center at (5, –3).
    A. (x – 5)2 + (y + 3)2 = 5
    B. (x + 5)2 + (y – 3)2 = 25
    C. (x – 5)2 + (y + 3)2 = 25
    D. (x + 5)2 + (y – 3)2 = 5
    Hint

  4.   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

  5.   Write the equation x2 + 2y2 + 2x + 4y - 1 = 0 in standard form.
    A.
    B.
    C.
    D.
    Hint

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

  7.   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 + 6) B. (x - 2)2 = -40(y + 6)
    C. (x - 2)2 = 40(y + 6) D. (y - 2)2 = 40(x - 4)
    Hint

  8.   Identify the conic section with equation 8y2 + 2x - 8y - 10 = 0.
    A. ellipse B. circle
    C. parabola D. hyperbola
    Hint

  9.   Solve the system of equations algebraically.
x2 - y2 = 12
x2 + 2y2 = 24
    A. (2, 4), (-2, -4) B. no solution
    C. (4, 2), (-4, -2) D. (±4, 2), (±4, -2)
    Hint

  10.   Write the equation x2 + 4y2 + 8x - 8y + 16 = 0 in standard form.
    A.
    B.
    C.
    D.
    Hint

  11.   Find the equation of the asymptotes of a hyperbola with graph of
    A. y - 6 = (x + 4)
    B. y - 6 = (x + 4)
    C. y - 6 = (x + 4)
    D. y - 6 = (x + 4)
    Hint

  12.   Write the equation y2 - 4y - 2x - 1 = 0 in standard form.
    A. (y + 2) 2 = 2(x + 2.5)
    B. (y - 2) 2 = 2(x - 2.5)
    C. (y + 2) 2 = 2x - 5
    D. (y - 2) 2 = 2x + 5
    Hint

  13.   In a general equation of a conic, A = 3, B = 0, C = 2, D = 6, E = 8 and F = 5. Write the equation in standard form.
    A. 3(x - 1)2 + 2( y - 2)2 = 6
    B.
    C.
    D.
    Hint

  14.   Find the equation of the graph after it is rotated 60° about the origin.
    A. 15(x')2 + 10x'y' + 31(y')2 = 36
    B. 15(x')2 - 10x'y' + 31(y')2 = 144
    C. 21(x')2 + 10x'y' + 31(y')2 = 144
    D. 21(x')2 + 10x'y' - 31(y')2 = 36
    Hint

  15.   Identify the graph of the equation 4x2 +3xy + 6y2 - 6 = 0 then find to the nearest degree.
    A. parabola; B. ellipse; - 28°
    C. circle; -56° D. hyperbola; - 28°
    Hint

  16.   Which set of inequalities represents the graph?
   
    A. x2 + y2 2;
x2 + y2 6
B. x2 + y2 4;
x2 + y2 36
    C. x2 + y2 4;
x2 + y2 36
D. x2 + y2 2;
x2 + y2 6
    Hint



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