1.   The profit for each unit of lumber is $40 and the profit for each unit of plywood is $60. Write a profit function P(x, y) if x = the number of units of lumber and y = the number of units of plywood.
    A. P(x, y) = 40x - 60y B. P(x, y) = 60x + 40y
    C. P(x, y) = 60x - 40y D. P(x, y) = 40x + 60y
    Hint
  2.   The graph of y = -x2 + 1 is symmetric about __________.
    A. both the x-axis and
the y-axis		 B. the x-axis
    C. the y-axis D. neither the x-axis nor
the y-axis
    Hint
  3.   Solve |x - 1| - 8 < 3.
    A. {x | -4 < x < 3} B. {x | -8 < x < 10}
    C. {x | 5 < x < 10} D. {x | -10 < x < 12}
    Hint
  4.   Determine whether the function f(x) = is continuous at x = 1.
    A. Yes, the inability to divide by 0 has no bearing on this problem. B. None is correct.
    C. Yes, it is continuous at x = 1, but not at x = -1. D. No, because substituting
x = 1 results in a denominator of 0.
    Hint
  5.   Divide x4 + 2x2 - 1 by x - 1 using synthetic division. The result of synthetic division is ____.
    A. 1 1 3 3 | -2 B. 1 3 1 3 | 2
    C. 1 3 1 3 | -2 D. 1 1 3 3 | 2
    Hint
  6.   Use the Remainder Theorem to find the remainder for the division of
(x4 - 3x2 + 2x - 1) ÷ (x - 1). The remainder is ____.
    A. 0 B. 1
    C. -1 D. 2
    Hint
  7.   Approximate the real zero(s) of f(x) = x3 - 2x2 + 5x - 5 to the nearest tenth.
    A. 1.4 B. 1.2
    C. 1.6 D. 1.4, 2.1, and 3.2
    Hint
  8.   Given and a = 5, b = 2 and A = 115°, find B.
    A. 31.7° B. 22.5°
    C. 14.6° D. 21.3°
    Hint
  9.   Determine the number of solutions for , given a = 2, b = 3,
and c = 6.
    A. two B. three
    C. none D. one
    Hint
  10.   State the amplitude, period, phase shift, and vertical shift for
y = 3 cos - 4.
    A. 3; 8; -2; 4 B. 4; 8; 2; 3
    C. 4; 8; -2; -3 D. 3; 8; -2; -4
    Hint
  11.   Find a numerical value of one trigonometric function of x if
    A. sin x = 1 B. cot x = 1
    C. cos x = 1 D. tan x = 1
    Hint
  12.   Write the standard form of the equation of a line for which the length of the normal segment to the origin is 10 and the normal makes an angle of with the positive x-axis.
    A. x - y + 20 = 0 B. x - y - 20 = 0
    C. x + y - 20 = 0 D. x + y + 20 = 0
    Hint
  13.   Determine the equation of the perpendicular bisector of the line segment with endpoints (1,5) and (-6, 3).
    A. 14x + 4y - 19 = 0 B. 2x + 7y + 23 = 0
    C. 14x + 4y + 19 = 0 D. 2x + 7y - 23 = 0
    Hint
  14.   Solve the system of three equations by elimination:

5x + 2y - 3z = 10
2x - 2y + 4z = 6
x - y + 2z = 3
    A. infinite solutions B. no solution
    C. (3, 4, 2) D. (2, -5, 3)
    Hint
  15.   Given A = [3 -2], C = , find AC.
    A. impossible B. [-10 -4 -2]
    C. D. [14 3 13]
    Hint
  16.   A quadrilateral with vertices A(-2,-3), B(-4,2), C(-2,4) and D(0,2) is translated 5 units to the right and 3 units down. What are the new coordinates?
    A. A(3,-6), B(1,-1), C(3,7), D(5,5)
    B. A(3,0), B(-1,5), C(3,7), D(5,5)
    C. A(3,-6), B(1,-1), C(3,1), D(5,-1)
    D. A(-5,2), B(-7, 7), C(-5, 9), D(-3, 7)
    Hint
  17.   Find the inverse of .
    A. 0 B. does not exist
    C. D.
    Hint
  18.   Find the maximum value of f(x, y) = 2x + y - 4 for the system of inequalities:
y -3x + 1
y x - 4
x 0
y 0
    A. alternate optimal solutions B. unbounded
    C. 2 D. infeasible
    Hint
  19.   The function f(x) = |x - 4| + 2 has a critical point at x = 4. Determine if this is the location of a maximum, a minimum or a point of inflection.
    A. There is a maximum at (4,2)
    B. There is a point of inflection at (4,2)
    C. none of these
    D. There is a minimum at (4,2)
    Hint
  20.   Complete the identity = _______.
    A. sec x B. sin x
    C. tan x D. -cos x
    Hint

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