1.   Rewrite the equation 3x + y = 7 in slope-intercept form.
    A. y = 3x - 7 B. y = 7x + 3
    C. y = -3x + 7 D. y = -3x - 7
    Hint

  2.   Triangle ABC has vertices A(7, 2), B(3, -1), and C(1, 4). Find the image of the triangle after a reflection over the x-axis.
    A. A'(7, -2), B'(-1, 3),
C'(-1, -4)
B. A'(2, 7), B'(-1, 3), C'(4, 1)
    C. A'(-7, -2), B'(-3, 1),
C'(-1, -4)
D. A'(7, -2), B'(3, 1), C'(1, -4)
    Hint

  3.   Which is the graph of y x3 + 1?
    A. B.
    C. D.
    Hint

  4.   A family has a monthly net pay N which is 70% of their gross monthly pay G. They decided to subtract their monthly food allowance of $350 from their monthly net pay and invest 5% of the remainder. Write an equation for the investment each month I, given the above restrictions.
    A. I = 0.95(0.3G - 350) B. I = 0.05(0.3G - 350)
    C. I = 0.95(0.7G - 350) D. I = 0.05(0.7G - 350)
    Hint

  5.   Use the parent graph f(x) = to graph the function
g(x) = ; identify the new location of each asymptote.
    A. The vertical asymptote is at
x = 0, and the horizontal asymptote is at y = -3.
B. none of these
    C. The vertical asymptote is at
x = 3 and the horizontal asymptote is at y = 1.
D. The vertical asymptote is at
x = -3, and the horizontal asymptote is at y = 0.
    Hint

  6.   Suppose y varies directly as x and y = 13 when x = 7. Find the constant of variation and write an equation.
    A. k = and y = 13 · 7x B. k = and y = 13 · 7x
    C. k = and y = x D. k = and y = x
    Hint

  7.   Determine the zeros of the function y = x3 + 2x2 - 5x - 6.
    A. -1, 2, 3 B. -3, -1, 4
    C. -3, -1, 2 D. -3, 2, 0
    Hint

  8.   Determine the number of complex zeros of the function
f(x) = x5 - 4x2 + 2x - 1.
    A. 5 B. 4
    C. 3 D. 2
    Hint

  9.   Use the unit circle to find sec (-180°).
    A. -1 B. 1
    C. undefined D. 0
    Hint

  10.   Suppose is an angle in standard position whose terminal side
lies in Quadrant II. If , find
    A. B.
    C. D.
    Hint

  11.   Which is not a property of the graph of y = tan x?
    A. The period is 2. B. The y-intercept is 0.
    C. The range is the set of real numbers. D. The x-intercepts are located at n, where n is an integer.
    Hint

  12.   If x and y are acute angles such that sin x = and sin y = , what is the value of cos (x - y)?
    A. B.
    C. D.
    Hint

  13.   Consider the equation -x + 2y - 5 = 0. Find the length of the normal and the angle it makes with the positive x-axis.
    A. ; 63° B. ; 243°
    C. ; 297° D. ; 117°
    Hint

  14.   Find an equation of the line that bisects the acute angles formed by the lines with equations 3x + 4y = 8 and 5x + 12y = 16.
    A. 8x + 14y - 23 = 0 B. 14x + 8y - 23 = 0
    C. 14x + 8y + 23 = 0 D. 8x + 14y + 23 = 0
    Hint

  15.   Set up a matrix equation for this chemistry problem. How many liters of 0.25 solution and 0.40 solution should be combined to make 10 liters of 0.35 solution?
    A. B.
    C. D.
    Hint

  16.   Solve |4 - x| < 0.
    A. all real numbers B. {x|x > 4}
    C. no solution D. {x|x < 4}
    Hint

  17.   Given the function f(x) = , find the inverse.
    A. f -1(x) = x - 4 B. f -1(x) = 1
    C. f -1(x) = D. f -1(x) = 4
    Hint

  18.   A vector that is represented by an ordered pair can ________ be written as the sum of unit vectors.
    A. sometimes B. never
    C. usually D. always
    Hint

  19.   Find the magnitude of the vector from the origin to point P(7, -5, 23).
    A. B. 5
    C. D.
    Hint

  20.   Write the parametric equations for the line passing through P(3, -4) and parallel to .
    A. x = 1 + 3t and y = 9 – 4t B. x = t + 3 and y = 9t - 4
    C. x = 3 + t and y = 4 – 9t D. x = 3t + 1 and y = 4t - 9
    Hint



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