1.   State the domain and the range of the relation {(1, 2), (-4, 2), and
(3, 5)}. Then state whether the relation is a function.
    A. The domain is {-4, 1, 3}, the range is {2, 5}, and the relation is not a function. B. The domain is {-4, 1, 3},
the range is {2, 5}, and the relation is a function.
    C. The domain is {2, 5}, the range is {-4, 1, 3}, and the relation is a function. D. The domain is {2, 5}, the range is {-4, 1, 3}, and the relation is not a function.
    Hint

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

  3.   Solve the system of equations by elimination.

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

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

  4.   The graph |y| = 4 - |2x| is symmetric with respect to __________.
    A. the y-axis B. both the x-axis and
the y-axis
    C. the x-axis D. neither the x-axis nor
the y-axis
    Hint

  5.   Solve > 0.
    A. -2 < x < 0 or x < 1 B. -1 < x < 0 or x > 2
    C. -2 < x < 0 or x > 2 D. -1 < x < 0 or x > 1
    Hint

  6.   Find the measure of the reference angle of -200°.
    A. -200° B. 20°
    C. 160° D. 40°
    Hint

  7.   If the angle the rope makes with the level ground is 46° 30', how long is the rope?
   
    A. about 23.6 feet B. about 25.8 feet
    C. about 47.5 feet D. about 51.8 feet
    Hint

  8.   Evaluate sin (arctan ). Assume that the angle is in Quadrant I.
    A. B.
    C. D.
    Hint

  9.   Find a numerical value of one trigonometric function of x if
    A. B.
    C. D.
    Hint

  10.   If x and y are acute angles such that sin x = and sin y = , what is the value of cos (x - y)?
    A. B.
    C. D.
    Hint

  11.   Graph the point .
    A.
    B.
    C.
    D.
    Hint

  12.   Find .
    A. 0 B. does not exist
    C. 5 D. 7
    Hint

  13.   Use the first three terms of the exponential series and a calculator to approximate the value of e1.85 to the nearest hundredth.
    A. 5.62 B. 2.85
    C. 4.56 D. 6.36
    Hint

  14.   Which best describes this graph?
   
    A. inverse variation B. direct variation
    C. none of these D. joint variation
    Hint

  15.   Complete the identity = _______.
    A. sec x B. sin x
    C. -cos x D. tan x
    Hint

  16.   What is the distance between the lines given by the equations
5x - 2y = 14 and y = x - 9?
    A. B.
    C. 0 D.
    Hint

  17.   Write as the sum of unit vectors for U(4, 3, -8) and V(-5, -4, -2).
    A. B.
    C. D.
    Hint

  18.   Graph the point T.
    A.
    B.
    C.
    D.
    Hint

  19.   Simplify (3 + 4i) + (5 – 7i).
    A. -4 + 9i B. 15 - 28i
    C. 7 - 2i D. 8 - 3i
    Hint

  20.   Which conic section could have an eccentricity e =?
    A. any conic section B. hyperbola
    C. ellipse D. parabola
    Hint



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