1.   Find (x) if f(x) = 3x2 + 1 and g(x) = 2x + 3.
    A. 6x2 + 5 B. 12x2 - 36x + 28
    C. 6x2 - 5 D. 12x2 + 36x + 28
    Hint

  2.   Find the x- and y-intercepts for 3x + 4y - 12 = 0.
    A. (-3, 0) and (0, -4) B. (0, 4) and (3, 0)
    C. (0, 3) and (4, 0) D. (-4, 0) and (0, -3)
    Hint

  3.   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 = y whose endpoints are (100, 200) and (400, 800) and whose coordinates are integers.
    B. All points on the segment of the line x = 2y 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 2x = 2y whose endpoints are (200, 100) and (800, 400) and whose coordinates are integers.
    Hint

  4.   Solve the system of equations 2x + 3y = -7 and x - y = 4 by graphing.
    A. B.
    C. D.
    Hint

  5.   If you use the elimination method to solve the system of equations
3x - 4y = 9 and 2x + 3y = 7, which of the following would be the best method?

Method I: Multiply both sides of the first equation by 2, and multiply both sides of the second equation by 3. Then add the two equations.

Method II: Multiply both sides of the first equation by 3, and multiply both sides of the second equation by 4. Then add the two equations.

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

  6.   If you solve the following system of equations by elimination, which of the following is the best choice for the first step?

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

    A. Neither method will work. B. Add the first and second equations to eliminate the z variable.
    C. Subtract the second and third equation to eliminate the z variable. D. Both methods will work.
    Hint

  7.   Find the values of x and y for which the matrix equation
is true.
    A. x = -3, y = -1 B. x = -1, y = -3
    C. x = 1, y = -3 D. x = -3, y = 1
    Hint

  8.   Which of the following is a graph of the inequalities
l + g > 100 and l > 70?
    A. B.
    C. D.
    Hint

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

  10.   Solve |x - 1| - 8 < 3.
    A. {x | -10 < x < 12} B. {x | 5 < x < 10}
    C. {x | -8 < x < 10} D. {x | -4 < x < 3}
    Hint

  11.   Locate the extrema for the graph of y = f(x).
   
    A. The extrema are (-2, 1) and (4, 3). B. The extrema are (-2, 1) and (1, -1).
    C. The extrema are (-1, 1) and (4, 3). D. The extrema are (-2, 1),
(1, -1) and (4, 3).
    Hint

  12.   Find the roots of x3 + 2x + 3 = 0.
    A. B.
    C. -1, 2 D. 1, -2
    Hint

  13.   Find the number of positive real zeros for
f(x) = 3x5 + 2x3 + x2 + 7x - 1 = 0.
    A. no positive real zeros B. 4 or 2 or 0 positive real zeros
    C. 4 or 2 positive real zeros D. exactly 1 positive real zero
    Hint

  14.   The angle of elevation of a ladder leaning against a wall is 55°. The ladder is 30 feet long. How high up the wall does it reach?
    A. about 42.84 ft B. about 17.21 ft
    C. about 24.57 ft D. about 52.30 ft
    Hint

  15.  
    A. B. impossible
    C. D.
    Hint

  16.   The quadrilateral with vertices A(-1,5), B(2,7), C(4,5) and D(3,3) is reflected over the line y = x . Find the image of the quadrilateral after the reflection.
    A. B.
    C. D.
    Hint

  17.   Solve the system of inequalities by graphing.
2x + y 3
2x + y -2
y 4
x < 1
    A. B.
    C. D.
    Hint

  18.   Find the maximum value of f(x, y) = x - 4y for the system of inequalities.
2x + y 3
2x + y -2
y 4
x < 1
    A. -3 B. -17
    C. 16 D. -16
    Hint

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

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



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