1.   What are the vertices of the triangle formed?
   
    A. (100, 400), (400, 500), and (800, 100)
    B. (100, 400), (400, 500), and (100, 800)
    C. (100, 400), (500, 400), and (100, 800)
    D. (100, 400), (500, 400), and (800, 100)
    Hint

  2.   The graph of y = -x2 + 1 is symmetric about __________.
    A. neither the x-axis nor
the y-axis
B. both the x-axis and
the y-axis
    C. the y-axis D. the x-axis
    Hint

  3.   Determine whether the function f(x) = 2x2 - x + 2 is continuous at x = 2.
    A. Yes, because the function approaches the same y-value 8 on the left and right sides
of x = 2.
B. Yes, because the function is defined at x = 2.
    C. None of these are correct. D. Yes, because the function is defined at x = 2 and approaches y = 8 on the left and right sides of x = 2.
    Hint

  4.   Suppose y varies directly as x and y = 13 when x = 7. Find the constant of variation and write an equation.
    A. k = and y = x B. k = and y = x
    C. k = and y = 13 · 7x D. k = and y = 13 · 7x
    Hint

  5.   Find the area of if d =14.2, D = 33.6°, and E = 15.2°.
   
    A. about 35.9 square units B. about 46.5 square units
    C. about 71.9 square units D. about 62.1 square units
    Hint

  6.   In Hero's Formula, to find the area of a triangle, s in the formula
represents ______.
    A. the semiperimeter of the triangle B. the perimeter of the triangle
    C. the sum of any two of the three sides of the triangle D. none of these
    Hint

  7.   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. 32.6° B. 12.6°
    C. 10.5° D. 24.2°
    Hint

  8.   Use polar form to find the product (4 + 4i)(-2 + 2i). Express the result in rectangular form.
    A. -16 B. 16i
    C. 16 D. -16i
    Hint

  9.   Identify the conic section with equation 8y2 + 2x - 8y - 10 = 0.
    A. ellipse B. circle
    C. parabola D. hyperbola
    Hint

  10.   Solve the equation 34x = 8x - 5 by using natural logarithms.
    A. -2.9412 B. -4.3150
    C. -3.4271 D. -4.4912
    Hint

  11.   Using a standard deck of cards, how many 5-card hands are possible that have 4 aces and 1 king?
    A. 96 B. 24
    C. 1 D. 4
    Hint

  12.   Which of the following graphs represents the function:

    A. B.
    C. D.
    Hint

  13.   A bank charges a $10 fee if the account balance is less than $200. If the balance is in between $200 and $500 there is a $5 fee. If at least $500 is in the account, there is no fee.Graph the fee schedule for different account balances.
    A. B.
    C. D.
    Hint

  14.   Find the minimum value of f(x, y) = x - 4y for the system of inequalities.
2x + y 3
2x + y -2
y 4
x < 1
    A. -3 B. 16
    C. -16 D. -17
    Hint

  15.   Find the magnitude of for N(-2, -6, -12) and K(3, -6, 7).
    A. B.
    C. D.
    Hint

  16.   Write parametric equations for 2x + 4y = 11.
    A. x = 2t - 11 and y = 4t - 11
    B. x = t and y =
    C. x = t and y =
    D. x = and y =
    Hint

  17.   If one of the endpoints of a segment is at (4, 3), and the midpoint is
(-1, -3) what is the other endpoint?
    A. (-7, -5) B. (1.5, 0)
    C. (-6, -9) D. (6, 9)
    Hint

  18.   Find the rectangular equation of the curve whose parametric equations are y = 2t2 + 4 and x = 4t, where and identify the conic section.
    A. 8y = x2 - 4; parabola
    B. parabola
    C. 8y = x2 - 32; ellipse
    D. ellipse
    Hint

  19.   Which series is convergent?
    A.
    B.
    C.
    D.
    Hint

  20.   If n is a nonnegative integer, then = ________.
    A. 5
    B. (n + 5) · (n + 4) · (n + 3) · (n + 2) · (n + 1)
    C. (n + 5) · (n + 4) · (n + 3) · (n + 2) · (n + 1) · n
    D. n + 5
    Hint



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