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

  2.   If you solve the following system of equations by substitution, which statement is true?

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

    A. You can substitute x for z into the second and third equations. B. Neither method will work.
    C. Both methods will work. D. You can substitute z for x into the second and third equations.
    Hint

  3.   Use the Upper Bound Theorem to find an integral upper bound and the Lower Bound Theorem to find an integral lower bound of the zeros of the function f(x) = x3 - 2x2 - x + 6. All real zeros of f(x) can be found in the interval.
    A. -3 x -2 B. -2 x 3
    C. 2 x 3 D. 1 x 2
    Hint

  4.   Solve .
    A. 3 B. 2
    C. 0 D. 1
    Hint

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

  6.   The terminal side of one angle in standard position contains the point with coordinates (3, -2). The terminal side of another angle in standard position contains the point with coordinates (-3, 2). Compare the tangents of these angles.
    A. They are equal. B. They are not equal.
    C. One does not exist. D. One is twice the other.
    Hint

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

  8.   Change -120° to radian measure in terms of .
    A. - B. -
    C. D.
    Hint

  9.   If csc = 2, find sin .
    A. B. 2
    C. D.
    Hint

  10.   Use the sum or difference identity for tangent to find the exact value
of tan 255°.
    A. B.
    C. D.
    Hint

  11.   Write the ordered triple that represents the vector from X(6, -4, 2) to
Y(5, -6, 8).
    A. B.
    C. D.
    Hint

  12.   Find the parametric equations for a line parallel to and passing through the point at (-3, -5).
    A. x = 4 - 3t and y = -2 + 5t B. x = -4 - 3t and y = -2 - 5t
    C. x = -3 + 4t and y = -5 - 2t D. x = -4 + 3t and y = 2 + 5t
    Hint

  13.   Find parametric equations for the equation y = x2 + 5.
    A. x = t, y = t2 + 5,
    B. x = t2 + 5, y = t,
    C. x = t, y = t2 + 5, -2 < t < 2
    D. x = t, y = t2 + 5,
    Hint

  14.   Which is the graph of the inequality 2x + y + 3 >0?
    A. B.
    C. D.
    Hint

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

  16.   The function f(x) = |x - 4| + 2 has a critical point at x = 4. Determine if this is the location of a maximum, a minimum or a point of inflection.
    A. There is a minimum at (4,2)
    B. There is a point of inflection at (4,2)
    C. none of these
    D. There is a maximum at (4,2)
    Hint

  17.   Find the ordered triple that represents the vector from S(9, -2, -11) to T(2, 2, 4).
    A. B.
    C. D.
    Hint

  18.   If a rectangular prism represented by the vertex matrix below is translated using the vector , find the vertex matrix for the translated image.
    A.
    B.
    C.
    D.
    Hint

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

  20.   Identify the graph of the equation 4x2 +3xy + 6y2 - 6 = 0 then find to the nearest degree.
    A. circle; -56° B. hyperbola; - 28°
    C. ellipse; - 28° D. parabola;
    Hint



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