1.   Solve the system of equations by elimination.

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

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

  2.   Which of the following shows the system of equations using a matrix equation?
   
    A. B.
    C. D.
    Hint

  3.   If you use the parent graph f(x) = [[x]], describe how you would graph
g(x) = 3[[x]].
    A. The vertical distance between the steps for g(x) is 3 units. B. There would be no difference between f(x) = [[x]] and
g(x) = 3[[x]].
    C. The vertical distance between the steps for g(x) is 1/3 unit. D. None of these is correct.
    Hint

  4.   If you divide a polynomial by the factor x + 6 and a remainder of zero results, which conclusion is true?
    A. x + 6 is a factor of the polynomial. B. x - 6 is not a factor of the polynomial.
    C. x + 6 is not a factor of the polynomial. D. x - 6 is a factor of the polynomial.
    Hint

  5.   Approximate the real zero(s) of f(x) = x3 - 2x2 + 5x - 5 to the nearest tenth.
    A. 1.2 B. 1.4
    C. 1.4, 2.1, and 3.2 D. 1.6
    Hint

  6.   If find
    A. 7 B.
    C. D.
    Hint

  7.   Find the area of if a = 5, b = 8, and c = 10.
    A. about 19.8 square units B. about 39.6 square units
    C. about 15.2 square units D. about 7.6 square units
    Hint

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

  9.   Use a half-angle identity to find the exact value of sin 67.5°.
    A. B.
    C. D.
    Hint

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

  11.   A football player kicks a football with an initial velocity of 25 yards per second at an angle of 77° to the horizontal. What is the hang time, the elapsed time between the moment the ball is kicked and the time it hits the ground?
    A. about 4.8 seconds B. about 4.4 seconds
    C. about 4.6 seconds D. about 4.2 seconds
    Hint

  12.   Given f(x) = x-5 and g(x) = x2+ 3,find (f · g)(x).
    A. x3 –5x2 +3x -15 B. x2 –2x-15
    C. 4x3 –2x D. x3 +5x2 +3x-15
    Hint

  13.   Graph the equation 3x + 2y = 0
    A. B.
    C. D.
    Hint

  14.   Which of the following graphs represents the function:

    A. B.
    C. D.
    Hint

  15.   Choose the best method to solve the system of equations x + y = 2
and y = 3x - 4.
    A. Eliminate x B. Graphing
    C. Eliminate y D. Substitution
    Hint

  16.   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

  17.   Given the function f(x) = x2 - 8x + 16, find the inverse.
    A. f -1 = x - 2 B. f -1 = (x - 4)2
    C. f -1 = 4 D. f -1 = x - 4
    Hint

  18.   The function f(x) = -(x - 3)2 + 4 has a critical point at x = 3. Determine and classify this point.
    A. (3,4) is the relative maximum of this function.
    B. (3,4) is the point of inflection.
    C. (3,4) is the absolute minimum of this function.
    D. (3,4) is the absolute maximum of this function.
    Hint

  19.   Karla is in a contest to see who can hit a baseball the farthest. If she hits a ball with an initial velocity of 94.5 ft/s at an angle of 42° with the horizontal, how far will the ball travel before it hits the ground?
    A. 139 ft B. 277 ft
    C. 250 ft D. 395 ft
    Hint

  20.   Given the coordinates of a rectangular prism, represent them as a vertex matrix: A(1, 5, 3), B (1, 5, -1), C (1, -3, -1), D (1, -3, 3), E (-4, 5, 3), F (-4, 5, -1), G (-4, -3, -1), H (-4, -3, 3)
    A.
    B.
    C.
    D.
    Hint



Glencoe
The McGraw-Hill Companies