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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) = 2500(1.1)10 + 3000(1.1)6 |
B. |
T(x) = 3000(1.0)10 + 2500(1.1)6 |
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C. |
T(x) = 2500(1.1)10 + 3000(1.1)4 |
D. |
T(x) = 3000(1.0)10 + 2500(1.1)4 |
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Hint |
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2. |
State the degree of the polynomial function f(x) = x4 - 2x2 + 3x - 1. |
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A. |
4 |
B. |
3 |
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C. |
5 |
D. |
2 |
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Hint |
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3. |
The roots of the equation x2 - 8x - 20 = 0 are ____. |
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A. |
-2 and -10 |
B. |
2 and 10 |
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C. |
-2 and 10 |
D. |
2 and -10 |
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Hint |
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4. |
If you solve 2m2 + 8m + 1 = 0 by completing the square, first divide each side of the equation by ____. |
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A. |
8 |
B. |
2 |
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C. |
1 |
D. |
 |
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Hint |
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5. |
Divide x4 + 2x2 - 1 by x - 1 using synthetic division. The result of synthetic division is ____. |
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A. |
1 3 1 3 | 2 |
B. |
1 1 3 3 | 2 |
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C. |
1 3 1 3 | -2 |
D. |
1 1 3 3 | -2 |
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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. |
Find the rational zeros of the equation 2x4 - x3 - 21x2 + 9x + 27 = 0. |
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A. |
3, 1, -1,  |
B. |
3, -3, -1,  |
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C. |
3, 1, -1,  |
D. |
3, -3, -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 is one imaginary root |
B. |
there could be one or three positive real zeros |
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C. |
none of the above is correct |
D. |
there is exactly one positive real zero |
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Hint |
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9. |
Determine between which consecutive integers the real zeros of f(x) = x4 - 4x2 + x - 3 are located. |
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A. |
between -2 and -1 and between 2 and 3 |
B. |
between -4 and -3 and between 3 and 4 |
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C. |
between -3 and -2 and between 2 and 3 |
D. |
between -3 and -2 and between 5 and 6 |
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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. |
4 |
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C. |
2 |
D. |
5 |
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Hint |
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11. |
Solve > 0. |
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A. |
-2 < x < 0 or x < 1 |
B. |
-1 < x < 0 or x > 2 |
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C. |
-1 < x < 0 or x > 1 |
D. |
-2 < x < 0 or x > 2 |
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Hint |
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12. |
Solve + < . |
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A. |
0 < a < 5 |
B. |
a > 0 or 0 < a < 5 |
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C. |
a < 0 or 0 < a < 5 |
D. |
a < 0 or a > 5 |
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Hint |
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13. |
Solve . |
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A. |
5 |
B. |
5, 1 |
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C. |
2 |
D. |
5, 2 |
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Hint |
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14. |
Solve 4. |
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A. |
none of these |
B. |
0 x 8 |
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C. |
x 0 |
D. |
x 8 |
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Hint |
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15. |
Determine the type of polynomial function that could be used to represent the data in the following scatter plot. |
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A. |
quartic |
B. |
cubic |
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C. |
linear |
D. |
quadratic |
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Hint |
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16. |
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. |
0 |
D. |
1 |
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Hint |
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