1.   Ten years ago, Mary invested $2500. Four years later, she invested $3000. Set up an equation that determines the current value of the two investments T(x) if each earns 10% annual interest per year.
    A. T(x) = 2500(1.1)10 +
3000(1.1)6
B. T(x) = 3000(1.0)10 +
2500(1.1)6
    C. T(x) = 2500(1.1)10 +
3000(1.1)4
D. T(x) = 3000(1.0)10 +
2500(1.1)4
    Hint

  2.   State the degree of the polynomial function f(x) = x4 - 2x2 + 3x - 1.
    A. 4 B. 3
    C. 5 D. 2
    Hint

  3.   The roots of the equation x2 - 8x - 20 = 0 are ____.
    A. -2 and -10 B. 2 and 10
    C. -2 and 10 D. 2 and -10
    Hint

  4.   If you solve 2m2 + 8m + 1 = 0 by completing the square, first divide each side of the equation by ____.
    A. 8 B. 2
    C. 1 D.
    Hint

  5.   Divide x4 + 2x2 - 1 by x - 1 using synthetic division. The result of synthetic division is ____.
    A. 1 3 1 3 | 2 B. 1 1 3 3 | 2
    C. 1 3 1 3 | -2 D. 1 1 3 3 | -2
    Hint

  6.   Use the Remainder Theorem to find the remainder for the division of
(x4 - 3x2 + 2x - 1) ÷ (x - 1). The remainder is ____.
    A. 0 B. 2
    C. -1 D. 1
    Hint

  7.   Find the rational zeros of the equation 2x4 - x3 - 21x2 + 9x + 27 = 0.
    A. 3, 1, -1, B. 3, -3, -1,
    C. 3, 1, -1, D. 3, -3, -1,
    Hint

  8.   In a polynomial equation, if there is one change in sign of the coefficients of the terms, ____.
    A. there is one imaginary root B. there could be one or three positive real zeros
    C. none of the above is correct D. there is exactly one positive real zero
    Hint

  9.   Determine between which consecutive integers the real zeros of
f(x) = x4 - 4x2 + x - 3 are located.
    A. between -2 and -1 and between 2 and 3 B. between -4 and -3 and between 3 and 4
    C. between -3 and -2 and between 2 and 3 D. between -3 and -2 and between 5 and 6
    Hint

  10.   Determine the number of complex zeros of the function
f(x) = x5 - 4x2 + 2x - 1.
    A. 3 B. 4
    C. 2 D. 5
    Hint

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

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

  13.   Solve .
    A. 5 B. 5, 1
    C. 2 D. 5, 2
    Hint

  14.   Solve 4.
    A. none of these B. 0 x 8
    C. x 0 D. x 8
    Hint

  15.   Determine the type of polynomial function that could be used to represent the data in the following scatter plot.
   
    A. quartic B. cubic
    C. linear D. quadratic
    Hint

  16.   How many direction changes are there in the graph of a linear equation?
    A. 2 B. 3
    C. 0 D. 1
    Hint



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