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

  2.   If A = , find -2A.
    A. B.
    C. D.
    Hint

  3.   In the equation x3 + x2 + 4x + 4 = 0, how many times does the graph of the related function cross the x-axis?
    A. 1 B. 3
    C. 0 D. 2
    Hint

  4.   Find the area of if a = 5.2, c = 13.6, and B = 46° 30'.
   
    A. about 25.6 square units B. about 51.3 square units
    C. about 48.7 square units D. about 24.3 square units
    Hint

  5.   State the amplitude and period for the function y = -3 sin 3.
    A. 3; B. -3;
    C. -3; D. 3;
    Hint

  6.   Write the standard form of the equation of a line for which the length of the normal segment to the origin is 10 and the normal makes an angle of with the positive x-axis.
    A. x + y + 20 = 0 B. x - y - 20 = 0
    C. x + y - 20 = 0 D. x - y + 20 = 0
    Hint

  7.   Find . Express the result in rectangular form.
    A. 1024i B. -1024
    C. 1024 D. -1024i
    Hint

  8.   Write the equation of the hyperbola whose eccentricity is and whose foci are at (6, 0) and (-6, 0).
    A. B.
    C. D.
    Hint

  9.   Write the equation of the parabola whose vertex is at (-6, 2) and whose focus is at (4, 2).
    A. (x - 2)2 = -40(y + 6) B. (x - 2)2 = 40(y + 6)
    C. (y - 2)2 = 40(x - 4) D. (y - 2)2 = 40(x + 6)
    Hint

  10.   Find the sum of the first six terms of the geometric series .
    A. B.
    C. D.
    Hint

  11.   Sharon tossed three coins. What is the probability that she tossed exactly two tails, given that she tossed at least 1 tail?
    A. B.
    C. D.
    Hint

  12.   Consider the graph of the function y = f(x) shown below. Which statement is true?
   
    A. because when x = 3, f(x) = -2, and as x approaches 3, f(x) approaches -2.
    B. none of these are correct
    C. At x = 3, f(x) = -2
    D. As x approaches 3, f(x) approaches -2. Therefore, .
    Hint

  13.   Find the x- and y-intercepts of the equation:
    A. x-intercept –2; y intercept 5 B. x-intercept –5; y-intercept 2
    C. x-intercept 5; y-intercept -2 D. x-intercept 2; y-intercept 5
    Hint

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

  15.   Describe the end behavior of the function:
f(x) = x4 - x3 + x2 + x - 1
    A. f(x) as x , f(x) as x
    B. f(x) as x , f(x) as x
    C. f(x) as x , f(x) as x
    D. f(x) as x , f(x) as x
    Hint

  16.   If sin = , find cos 2.
    A. B. -
    C. - D.
    Hint

  17.   Find the rectangular coordinates of the point R.
    A. B.
    C. D.
    Hint

  18.   Find the distance between points (5, 4) and (-2, -3). Round to the nearest tenth.
    A. 14 B. 9.9
    C. 7.1 D. 3.2
    Hint

  19.   Find the interquartile range of the set of data below.
20, 15, 23, 14, 18, 12, 25, 10, 24, 12, 17
    A. 15 B. 11
    C. 9 D. 5
    Hint

  20.   Using limits, evaluate .
    A. 147 B. 21
    C. D.
    Hint



Glencoe
The McGraw-Hill Companies