1.   The compound inequality 300 < x + y < 1200 and x = 2y is shown in the graph below. List the possibilities of Bobcats and Lions produced to meet the imposed conditions.
   
    A. All points on the segment of the line 2x = 2y whose endpoints are (200, 100) and (800, 400) and whose coordinates are integers.
    B. All points on the segment of the line 2x = y whose endpoints are (100, 200) and (400, 800) and whose coordinates are integers.
    C. All points on the segment of the line x = 2y whose endpoints are (200, 100) and (800, 400) and whose coordinates are integers.
    D. All points on the segment of the line x = 2y whose endpoints are (100, 200) and (400, 800) and whose coordinates are integers.
    Hint

  2.   If you use the substitution method to solve the system of equations
3x - 2y = 4 and x + y = 5, which of the following would be the best method?

Method I: Solve the second equation for x, and substitute 5 - y for x into the first equation.

Method II: Solve the second equation for y, and substitute 5 - x for y into the first equation.

    A. Both Method I and Method II are correct. B. Method I
    C. Method II D. Neither Method I nor Method II is correct.
    Hint

  3.   Suppose the triangle ABC with vertices A(1, 2), B(4, 3) and C(-1, 5) is translated 2 units right and 3 units down. Use the translation matrix to find the vertices for A'B'C', the translated image of the triangle.
    A. B.
    C. D.
    Hint

  4.   Divide x4 + 2x2 - 1 by x - 1 using synthetic division. The result of synthetic division is ____.
    A. 1 3 1 3 | 2 B. 1 1 3 3 | -2
    C. 1 3 1 3 | -2 D. 1 1 3 3 | 2
    Hint

  5.   Approximate the real zeros of the function f(x) = 2x2 + 4x + 1 to the nearest tenth.
    A. -1.8 and -0.4 B. -1.8 and -0.2
    C. -1.6 and -0.2 D. -1.7 and -0.3
    Hint

  6.   Choose the angle measure represented by 5.2 rotations counterclockwise.
    A. -1872° B. -936°
    C. 936° D. 1872°
    Hint

  7.   The terminal side of one angle in standard position contains the point with coordinates (3, -2). The terminal side of another angle in standard position contains the point with coordinates (-3, 2). Compare the tangents of these angles.
    A. One does not exist. B. They are equal.
    C. They are not equal. D. One is twice the other.
    Hint

  8.   Given and a = 5, b = 2 and A = 115°, find B.
    A. 14.6° B. 22.5°
    C. 21.3° D. 31.7°
    Hint

  9.   Find cos (Tan-11 - Sin-11).
    A. - B.
    C. - D.
    Hint

  10.   Simplify cos x tan x.
    A. csc x B. sin x
    C. cos x D. 1
    Hint

  11.   Find the magnitude of the vector .
    A. B.
    C. D.
    Hint

  12.   Find the magnitude of for T(4, 0, -6) and M(5, -1, 0).
    A. B.
    C. 6 D.
    Hint

  13.   Write a matrix that will translate a triangular prism using the vector .
    A.
    B.
    C.
    D.
    Hint

  14.   What type of relationship does the scatter plot suggest?
   
    A. a linear relationship with a negative correlation
    B. a linear relationship with a positive correlation
    C. no linear relationship
    D. no correlation
    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.   Sketch the graph of the function f(x) = (x + 1)3 + 2.
    A. B.
    C. D.
    Hint

  17.   Which is the graph of y > (x - 3)2?
    A. B.
    C. D.
    Hint

  18.   If y varies inversely as the cube of x and y = 8 when x = 2, find
x when y = 1.
    A. x = 4 B. x = 8
    C. x = 2 D. x = 1
    Hint

  19.   Simplify the expression sin x + 4 cos x + 2 sin -x - 2 cos -x
    A. 0 B. 3 sin x + 2 cos x
    C. 2 cos x - sin x D. 1
    Hint

  20.   If a rectangular prism represented by the vertex matrix below is translated using the vector , find the vertex matrix for the translated image.
    A.
    B.
    C.
    D.
    Hint



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