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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. |
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A. |
T(x) = 3000(1.0)10 +
2500(1.1)6 |
B. |
T(x) = 2500(1.1)10 +
3000(1.1)4 |
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C. |
T(x) = 2500(1.1)10 +
3000(1.1)6 |
D. |
T(x) = 3000(1.0)10 +
2500(1.1)4 |
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Hint |
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2. |
In the equation x3 + x2 + 4x + 4 = 0, how many times does the graph of the related function cross the x-axis? |
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A. |
1 |
B. |
0 |
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C. |
3 |
D. |
2 |
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Hint |
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3. |
The factors of x2 - 8x - 20 = 0 are ____. |
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A. |
(x + 2) and (x + 10) |
B. |
(x - 2) and (x + 10) |
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C. |
(x - 2) and (x - 10) |
D. |
(x + 2) and (x - 10) |
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Hint |
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4. |
The equation x2 + x - 1 = 0 cannot be solved by ____. |
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A. |
completing the square |
B. |
using the quadratic formula |
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C. |
graphing |
D. |
factoring |
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Hint |
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5. |
Find the value of k so that the remainder of (x3 - 3x2 + kx - 6) ÷ (x + 2) is 0. |
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A. |
k = 6 |
B. |
k = -11 |
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C. |
k = -13 |
D. |
k = 11 |
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Hint |
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6. |
Use the Remainder Theorem to find the remainder for the division of
(x4 - 3x2 + 2x - 1) ÷ (x - 1). The remainder is ____. |
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A. |
0 |
B. |
2 |
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C. |
-1 |
D. |
1 |
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Hint |
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7. |
List the possible rational roots of 3x3 + 5x2 - 2x + 1 = 0. |
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A. |
 ,  |
B. |
 1, |
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C. |
 , |
D. |
1, |
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Hint |
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8. |
In a polynomial equation, if there is one change in sign of the coefficients of the terms, ____. |
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A. |
there could be one or three positive real zeros |
B. |
none of the above is correct |
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C. |
there is exactly one positive real zero |
D. |
there is one imaginary root |
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Hint |
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9. |
Approximate the real zeros of the function f(x) = 2x2 + 4x + 1 to the nearest tenth. |
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A. |
-1.8 and -0.2 |
B. |
-1.8 and -0.4 |
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C. |
-1.7 and -0.3 |
D. |
-1.6 and -0.2 |
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Hint |
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10. |
Determine the number of complex zeros of the function
f(x) = x5 - 4x2 + 2x - 1. |
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A. |
3 |
B. |
5 |
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C. |
2 |
D. |
4 |
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Hint |
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11. |
Solve  > 0. |
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A. |
-2 < x < 0 or x > 2 |
B. |
-2 < x < 0 or x < 1 |
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C. |
-1 < x < 0 or x > 2 |
D. |
-1 < x < 0 or x > 1 |
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Hint |
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12. |
Solve  - x + 1 = 0. |
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A. |
1, -2 |
B. |
-1, -2 |
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C. |
1, 2 |
D. |
-1, 2 |
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Hint |
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13. |
Solve  . |
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A. |
1 |
B. |
2 |
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C. |
3 |
D. |
0 |
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Hint |
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14. |
Solve   4. |
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A. |
x 0 |
B. |
x  8 |
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C. |
0 x 8 |
D. |
none of these |
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Hint |
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15. |
How many direction changes are there in the graph of a linear equation? |
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A. |
2 |
B. |
3 |
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C. |
1 |
D. |
0 |
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Hint |
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16. |
How many direction changes are there in the graph of a quartic function? |
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A. |
1 |
B. |
0 |
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C. |
2 |
D. |
3 |
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Hint |
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