1.   Suppose a figure is animated to spin around a certain point. If the image has key points as A(2, 1), B(3, 5) and C(6, 2), and the rotation is about the origin, find the location of these points at a 270° counterclockwise rotation.
    A. A'(1, -2), B'(-5, 3), C'(-2, 6) B. A'(-2, -1), B'(-3, -5),
C'(-6, -2)
    C. A'(-1, 2), B'(-5, 3), C'(-2, 6) D. A'(1, -2), B'(5, -3), C'(2, -6)
    Hint

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

  3.   Determine if the function is periodic. If so, state the period.
   
    A. yes; 2 B. yes; 1
    C. no D. yes; 4
    Hint

  4.   Which is not a true statement about the properties of the graph of
y = cos x?
    A. The maximum values are y = 1 and occur when , where n is an integer.
    B. The x-intercepts are located at , where n is an integer.
    C. The y-intercept is 1.
    D. The period is 2.
    Hint

  5.   Find the value of csc by referring to the graph of the cosecant function.
    A. 0 B. undefined
    C. -1 D. 1
    Hint

  6.   Write the equation 3x - 8y = -4 in polar form. Round to the nearest degree.
    A. B.
    C. D.
    Hint

  7.   Find (1 + i)-6.
    A. B.
    C. D.
    Hint

  8.   Find the distance between P(5, -3) and the line with equation
5x + 12y = 18.
    A. 13 B.
    C. D.
    Hint

  9.   Simplify .
    A. 3s2|t|3 B. 3s2|t|5
    C. 3|s|t4 D. 9s2|t|5
    Hint

  10.   Which equation is represented by the graph?
   
    A. y = -2e-x B. y = 2ex
    C. y = -2ex D. y = 2e
    Hint

  11.   Use the first three terms of the trigonometric series to approximate the value of to four decimal places.
    A. -0.4665 B. 0.0200
    C. 0.0408 D. 1.9800
    Hint

  12.   If 6 + 8 + 10 + ··· + (4 + 2n) = n(n + 5), which statement verifies that Sn is valid for n = 1?
    A. 6 + 8 = 2(2 + 5); 14 = 14
    B. 6 = 1(1 + 5); 6 = 6
    C. 6 + 8 + 10 = 3(3 + 5); 24 = 24
    D. 6 + 8 + 10 + 12 = 4(4 + 5); 36 = 36
    Hint

  13.   How many different six-letter patterns can be formed from the letters of the word turkey?
    A. 720 B. 120
    C. 156 D. 30
    Hint

  14.   Find a linear equation that can be used as a model for the data shown.
   
    A. B.
    C. D.
    Hint

  15.   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 point of inflection at (4,2)
    B. There is a maximum at (4,2)
    C. none of these
    D. There is a minimum at (4,2)
    Hint

  16.   Evaluate if and .
    A. 60 B. -39
    C. 21 D. 44
    Hint

  17.   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

  18.   Find the equation of the hyperbola with foci (6, 4) and (-2, 4) whose transverse axis is 6 units long.
    A.
    B.
    C.
    D.
    Hint

  19.   Identify the conic section with equation
4(x + 4) 2 - 3(y + 3) 2 = 12.
    A. circle B. parabola
    C. ellipse D. hyperbola
    Hint

  20.   The Consumer Prime Index between 1950 and 1966 can be modeled by the exponential function y = 20.48e0.0442x, where x is the number of years since 1950. Predict the CPI in 2013.
    A. 27.1 B. 516.0
    C. 20.0 D. 331.6
    Hint



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