1.   The revenue for the sale of x objects is r(x) = 8x. The cost of manufacturing x objects is c(x) = 0.5x + 300. Write the profit function.
    A. 8.5x - 300 B. 7.5x - 300
    C. 7.5x + 300 D. 8.5x + 300
    Hint
  2.   Solve the system of equations y = 0.5x and 4y = x - 2 by graphing.
    A. B.
    C. D.
    Hint
  3.  
    A. B.
    C. D.
    Hint
  4.   Find the value of .
    A. 24 B. 28
    C. -28 D. -24
    Hint
  5.   Find the maximum value of f(x, y) = 2x + y - 2 for the polygonal convex set determined by the system of inequalities.
   
    A.      14 B.      12
    C.      6 D.      18
    Hint
  6.   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) = 60x - 40y B. P(x, y) = 40x - 60y
    C. P(x, y) = 60x + 40y D. P(x, y) = 40x + 60y
    Hint
  7.   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
  8.   If you use the parent graph f(x) = [[x]], describe how you would graph
g(x) = 3[[x]].
    A. None of these is correct. B. The vertical distance between the steps for g(x) is 3 units.
    C. The vertical distance between the steps for g(x) is 1/3 unit. D. There would be no difference between f(x) = [[x]] and
g(x) = 3[[x]].
    Hint
  9.   Sketch the graph of the function f(x) = |x2 - 6|.
    A.
    B.
    C.
    D.
    Hint
  10.   Determine the interval(s) on which the function f(x) = 2|x + 1| + 3 is increasing and the interval(s) on which the function is decreasing.
    A. The function is increasing for x > -1, and the function is
decreasing for x < -1.
    B. The function is decreasing for x > 0, and the function is
increasing for x < 0.
    C. The function is increasing for x > 3, and the function is
decreasing for x < 3.
    D. The function is increasing for x > 2, and the function is
decreasing for x < 2.
    Hint
  11.   Use the graphing calculator f(x) = x3 + x2 - x, and
locate the relative maximum point.
    A. (0, 0) B. (0.5, -0.292)
    C. (-1, 0.833) D. There is no relative maximum point.
    Hint
  12.   Find the first three iterates of the function g(x) = x2 + x for an initial value of x0 = 1.
    A. = 0
= 2
= 4

 B. = 2
= 6
= 42
    C. = 2
= 6
= 12

 D. = 2
= 6
= 36
    Hint
  13.   Write an equation of the line that passes through the points (-2, 4) and (6, -4).
    A. B.
    C. D.
    Hint
  14.   Write an equation of a line that has no slope and passes through
the point (5,-6).
    A. y = -6 B. x = -6
    C. x = 5 D. y = 5
    Hint
  15.   What is the value of y when x = 2?
   
    A. 0 B. 2
    C. undefined D. 1
    Hint
  16.   Solve the system of 3 equations by substitution.

x = 3y + 2z
2x + 3y + 2z = 3
-x + y - z = 6
    A. (8, 4, -2) B. no solution
    C. (1, 3, -4) D. infinite solutions
    Hint
  17.   Find the inverse of .
    A. 0 B.
    C. D. does not exist
    Hint
  18.   Which is an odd function?
    A. B.
    C. D.
    Hint
  19.   Use the parent graph f(x) = to graph the function g(x) = .
    A. B.
    C. D.
    Hint
  20.   Dakota wants to cook a meal for his family. He knows that the more people who help, the less time it will take to prepare the food. Write an equation that represents this situation. Let C be the cooks in the kitchen, T be the time and k as the constant of variation.
    A. T = kC B. k = CT
    C. C = kT D. k = CT
    Hint