1.   A feasible region has vertices at (4, 6), (-2, 3), (2, -2), and (3, 1). At which point is the maximum value of the function f(x, y) = 2x + y?
    A. f(3, 1) B. f(4, 6)
    C. f(-2, 3) D. f(2, -2)
    Hint

  2.   In which figure is a median and an angle bisector of
and is an altitude?
    A. B.
    C. D.
    Hint

  3.   In the figure shown, is an exterior angle of Which
statement is correct?
   
    A. B.
    C. D.
    Hint

  4.   Solve the proportion
    A. 1 B.
    C. -6 D. 2
    Hint

  5.   Solve  m2 - 2m = 15 by factoring.
    A. -3, 5 B. 5
    C. 3 D. -5, 3
    Hint

  6.   Write an expression for the area of the rectangle shown below.
   
    A. 9x2y4 + 12x4y3 B. 6xy2 + 7x3y
    C. 6xy2 + 4x3y D. 12xy2 + 4x3y
    Hint

  7.   What is the volume of a right rectangular prism that is 3 inches by 5 inches by 8 inches.
    A. 55 in3 B. 158 in3
    C. 120 in3 D. 144 in3
    Hint

  8.   To show that a conjecture is false, you need to provide one _____.
    A. possibility B. theorem
    C. counterexample D. guess
    Hint

  9.   The segment that has one endpoint at one of the vertices of a triangle and its other endpoint on a line containing the opposite side of the triangle, and is perpendicular to the opposite side of the triangle, is called the __________.
    A. perpendicular bisector B. angle bisector
    C. altitude D. median
    Hint

  10.   Which of the following special right triangles can have a Pythagorean triple as the lengths of its sides?
    A. a 45°-45°-90° triangle
    B. both a 45°-45°-90° triangle and a 30°-60°-90° triangle
    C. a 30°-60°-90° triangle
    D. neither a 45°-45°-90° triangle nor a 30°-60°-90° triangle
    Hint

  11.   Find the value of x.
   
    A. B. 10
    C. D.
    Hint

  12.   Is the relation shown in the graph a function? Why or why not?
   
    A. No, the relation contains the ordered pairs (0, -1) and (3, -1).
    B. Yes, the ordered pairs (-3, 2), (-1, 1), and (3, -1) form a straight line.
    C. No, the relation contains the ordered pairs (3, -1) and (3, 2).
    D. Yes, the relation contains very few ordered pairs.
    Hint

  13.   Consider the function f (x) = -2(x + 8). Is this function a linear function? Why or why not?
    A. Yes, the function can be written in the form f (x) = mx + b.
    B. Yes, the coefficient of x is not zero.
    C. No, f is not a function.
    D. No, the function cannot be written in the form f (x) = mx + b.
    Hint

  14.   Use substitution to solve the system of equations given by y = and 28x – 32y = -8.
    A. no solution B. (2, 2)
    C. infinitely many solutions D. (1, 1)
    Hint

  15.   A bag contains 10 red marbles, 5 gray marbles, 12 black marbles, and 8 white marbles. Two marbles are randomly drawn from the bag without replacement. What is the probability of drawing a black marble followed by a red marble?
    A. B.
    C. D.
    Hint

  16.   is a real number and and is a real number and Which is the graph of
    A. B.
    C. D.
    Hint

  17.   If and what is
    A. –36 B.
    C. D. –13
    Hint

  18.   Complete. 13 yd = ______ft
    A. B. 39
    C. 26 D. 13
    Hint

  19.   Solve by the method of determinants. Round to the nearest hundredth.
    A. (2.46, 1.20) B. (-1.86, -2.20)
    C. (1.68, 4.40) D. (1.86, 2.20)
    Hint

  20.   Factor x2 - 2x - 8.
    A. (x + 8)(x + 1) B. (x + 2)(x - 4)
    C. (x - 2)(x + 4) D. (x - 8)(x + 1)
    Hint