1.   Solve the system of equations by elimination.

2x + y - z = 3
x + y + z = 5
x - 2y + z = 2

    A. (1, 2, 1) B. (1, 1, 2)
    C. (2, 1, 2) D. (2, 2, 1)
    Hint

  2.  
    A. B. The product doesn't exist.
    C. D.
    Hint

  3.   Use the function P(x, y) = 40x + 60y to determine how many of each item should be produced in order to maximize profit.
    A. (100, 800) B. (300, 500)
    C. (500, 400) D. (100, 400)
    Hint

  4.   Describe how the graphs of f(x) = |2x| and g(x) = -|2x| are related.
    A. The graph of g(x) is a reflection of the graph of f(x) over the x-axis. B. The graph of g(x) is a reflection of the graph of f(x) over the x- and y-axes.
    C. None are true. D. The graph of g(x) is a reflection of the graph of f(x) over the y-axis.
    Hint

  5.   Which is the graph of f(x) = x2 - 3 and its inverse?
    A. B.
    C. D.
    Hint

  6.   When is the function f(x) =
continuous at x = 2?
    A. not enough information is given B. always
    C. sometimes D. never
    Hint

  7.   Determine the slant asymptote for f(x) = .
    A. y = -2x +3 B. y = 3x + 2
    C. y = 2x + 3 D. y = 3x - 2
    Hint

  8.   State the number of complex roots of the equation x4 - 3x2 - 4 = 0.
    A. 3 B. 1
    C. 2 D. 4
    Hint

  9.   In a polynomial equation, if there is one change in sign of the coefficients of the terms, ____.
    A. there could be one or three positive real zeros B. there is exactly one positive real zero
    C. none of the above is correct D. there is one imaginary root
    Hint

  10.   Use the Upper Bound Theorem to find an integral upper bound and the Lower Bound Theorem to find an integral lower bound of the zeros of the function f(x) = x3 - 2x2 - x + 6. All real zeros of f(x) can be found in the interval.
    A. 1 x 2 B. 2 x 3
    C. -3 x -2 D. -2 x 3
    Hint

  11.   Use a graphing calculator to write a polynomial function to model the set of data.
   
    A. 0.9x + 1.3 B. 1.3x - 0.9
    C. 1.3x + 0.9 D. 0.9x - 1.3
    Hint

  12.   Determine the number of possible solutions for , given
B = 100°, b = 7, and c = 9.
    A. none B. two
    C. one D. three
    Hint

  13.   Determine the number of solutions for , given a = 2, b = 3,
and c = 6.
    A. one B. three
    C. none D. two
    Hint

  14.   In given a = 22, b = 39 and c = 19, find B.
    A. about 54.0° B. about 36.0°
    C. about 144.0° D. about 126.0°
    Hint

  15.   Write the equation of the line that is parallel to 2x - 3y - 15 = 0 and that passes through the point (3,4).
    A. 2x - 3y + 6 = 0 B. 2x + 5 - 3 = 0
    C. 2x + 3y + 6 = 0 D. 2x - 2y + 6 = 0
    Hint

  16.   Write the equation of the line perpendicular to 5y + 3x - 10 = 0 and that passes through the point (3,1).
    A. 5x - 3y - 12 = 0 B. 5x + 3y - 12 = 0
    C. 3x + 5y - 50 = 0 D. 5x - 3y - 4 = 0
    Hint

  17.   Determine the equation of the perpendicular bisector of the line segment with endpoints (1,5) and (-6, 3).
    A. 2x + 7y + 23 = 0 B. 14x + 4y - 19 = 0
    C. 14x + 4y + 19 = 0 D. 2x + 7y - 23 = 0
    Hint

  18.   Which is the graph of the inequality y > |2x + 1| ?
    A. B.
    C. D.
    Hint

  19.   Complete the graph so it is symmetric about the origin.
   
    A. B.
    C. D.
    Hint

  20.   Determine the intervals on which the function f(x) = x3 + x2 + x is increasing and the intervals on which the function is decreasing.
    A. increasing for x < 0 and decreasing for x > 0
    B. increasing for all x
    C. increasing for x < 0 and x > 0
    D. decreasing for all x
    Hint



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