1.   State the domain of the function
    A. all real numbers except 3 B. all real numbers except 0
    C. all real numbers except
0, 1, and 3
D. all real numbers except
0 and 3
    Hint

  2.   Find the zero of the function f(x) = -8x + 4.
    A. 2 B.
    C. D. -2
    Hint

  3.   Determine whether the graphs of the pair of equations
3x - 2y = 7 and 3x + 2y = 7
are parallel, coinciding, or neither.
    A. coinciding B. all are correct
    C. neither D. parallel
    Hint

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

  5.   Solve the system of equations by substitution.

x = z
x - 2y + z = 6
2x + y - 2z = 1

What is the value of x + y + z?
    A. 10 B. 9
    C. 11 D. 8
    Hint

  6.   In 1999 Bob scored 824 points as a college basketball player by hitting 372 of his attempts. If he made 60% of his 200 3-point field goal attempts, how many 1-, 2-, and 3-point field goal baskets did he make?
    A. (40, 212, 120) B. (40, 120, 212)
    C. (120, 40, 212) D. (212, 40, 120)
    Hint

  7.   The factors of x2 - 8x - 20 = 0 are ____.
    A. (x - 2) and (x - 10) B. (x + 2) and (x - 10)
    C. (x - 2) and (x + 10) D. (x + 2) and (x + 10)
    Hint

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

  9.   Solve + < .
    A. a < 0 or 0 < a < 5 B. a < 0 or a > 5
    C. a > 0 or 0 < a < 5 D. 0 < a < 5
    Hint

  10.   In find c if A = 36°, B = 101°, and b = 42.7.
   
    A. about 29.7 units B. about 25.3 units
    C. about 40.2 units D. about 31.8 units
    Hint

  11.   Evaluate tan .
    A. - B.
    C. D. -
    Hint

  12.   Determine the linear velocity of a point rotating at an angular velocity of radians per second at a distance of 11 centimeters from the center of the rotating object. Round to the nearest tenth.
    A. 165 cm/s B. 52.5 cm/s
    C. 33.4 cm/s D. 518.4 cm/s
    Hint

  13.   Find an equation of the line that bisects the acute angles formed by the lines with equations 3x + 4y = 8 and 5x + 12y = 16.
    A. 8x + 14y + 23 = 0 B. 14x + 8y + 23 = 0
    C. 14x + 8y - 23 = 0 D. 8x + 14y - 23 = 0
    Hint

  14.   Find the direction of the resultant of a 100-newton force along the x-axis and a 150-newton force at an angle of 40° above the x-axis.
    A. 10.5° B. 24.2°
    C. 12.6° D. 32.6°
    Hint

  15.   Write parametric equations of y = -2x + 5.
    A. x = t and y = 2t - 5 B. x = t and y = 2x - 5
    C. x = t and y = -2t + 5 D. x = -2t + 5 and y = t
    Hint

  16.   Find the initial horizontal velocity and vertical velocity of a stone kicked with an initial velocity of 15 feet per second at an angle of 42° with the ground.
    A. about 10 ft/s, about 22 ft/s B. about 14 ft/s, about 12 ft/s
    C. about 11 ft/s, about 13 ft/s D. about 11 ft/s, about 10 ft/s
    Hint

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

  18.   Solve the system of 3 equations by substitution.

x = 3y + 2z
2x + 3y + 2z = 3
-x + y - z = 6

    A. (8, 4, -2) B. (1, 3, -4)
    C. infinite solutions D. no solution
    Hint

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

  20.   Solve 4 sin2 x > 3 for 0 x .
    A. 0 x B.
    C. D.
    Hint



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