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1. |
Find  (x) if f(x) = 3x2 + 1 and g(x) = 2x + 3. |
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A. |
6x2 - 5 |
B. |
12x2 + 36x + 28 |
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C. |
12x2 - 36x + 28 |
D. |
6x2 + 5 |
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Hint |
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2. |
Which is the best prediction equation for the data? |
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A. |
y = 20x - 19,950 |
B. |
y = 10x - 19,950 |
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C. |
y = 25x - 19,950 |
D. |
y = 5x - 19,950 |
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Hint |
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3. |
Which is the graph of g(x) = |6 - |2x||? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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4. |
Solve the system of equations by elimination.
2x + y - z = 3
x + y + z = 5
x - 2y + z = 2
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A. |
(1, 1, 2) |
B. |
(1, 2, 1) |
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C. |
(2, 1, 2) |
D. |
(2, 2, 1) |
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Hint |
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5. |
Find the inverse of  . |
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A. |
 |
B. |
 |
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C. |
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D. |
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Hint |
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6. |
Which point is one of an infinite number of solutions for the inequality
y > (x + 2)2 - 4? |
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A. |
(-1, 5) |
B. |
(2, 12) |
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C. |
(3, 4) |
D. |
(1, 5) |
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Hint |
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7. |
Solve |x - 1| - 8 < 3. |
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A. |
{x | -8 < x < 10} |
B. |
{x | -4 < x < 3} |
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C. |
{x | 5 < x < 10} |
D. |
{x | -10 < x < 12} |
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Hint |
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8. |
If y varies jointly as the square of x and the cube of z and y = 9 when x = 3 and z = 4, find y when x = 8 and z = 5. |
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A. |
100 |
B. |
40 |
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C. |
125 |
D. |
45 |
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Hint |
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9. |
State the number of complex roots of the equation x4 - 3x2 - 4 = 0. |
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A. |
1 |
B. |
3 |
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C. |
4 |
D. |
2 |
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Hint |
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10. |
If you solve 2m2 + 8m + 1 = 0 by completing the square, first divide each side of the equation by ____. |
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A. |
2 |
B. |
8 |
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C. |
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D. |
1 |
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Hint |
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11. |
Divide x4 + 2x2 - 1 by x - 1 using synthetic division. The result of synthetic division is ____. |
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A. |
1 1 3 3 | 2 |
B. |
1 1 3 3 | -2 |
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C. |
1 3 1 3 | -2 |
D. |
1 3 1 3 | 2 |
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Hint |
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12. |
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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13. |
Find the rational zeros of the equation 2x4 - x3 - 21x2 + 9x + 27 = 0. |
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A. |
3, -3, -1,  |
B. |
3, 1, -1, |
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C. |
3, -3, -1,  |
D. |
3, 1, -1, |
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Hint |
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14. |
In a polynomial equation, if there is one change in sign of the coefficients of the terms, ____. |
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A. |
none of the above is correct |
B. |
there is one imaginary root |
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C. |
there could be one or three positive real zeros |
D. |
there is exactly one positive real zero |
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Hint |
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15. |
Determine between which consecutive integers the real zeros of
f(x) = x4 - 4x2 + x - 3 are located. |
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A. |
between -3 and -2 and between 5 and 6 |
B. |
between -2 and -1 and between 2 and 3 |
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C. |
between -3 and -2 and between 2 and 3 |
D. |
between -4 and -3 and between 3 and 4 |
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Hint |
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16. |
Decompose  into partial fractions. |
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A. |
 |
B. |
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C. |
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D. |
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Hint |
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17. |
Use two ordered pairs to write the equation of a best-fit line. |
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A. |
y = 5x + 75 |
B. |
y = 3x |
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C. |
y = 3x + 72 |
D. |
y = 5x |
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Hint |
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18. |
Graph the equation  |
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A. |
 |
B. |
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C. |
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D. |
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Hint |
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19. |
Which of the following describes the system of equations x - 3y + 2 = 0 and
2x - 6y + 4 = 0? |
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A. |
Inconsistent |
B. |
Consistent and dependent |
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C. |
none of these |
D. |
Consistent and independent |
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Hint |
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20. |
Given A = [3 -2], C =  , find AC. |
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A. |
impossible |
B. |
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C. |
[14 3 13] |
D. |
[-10 -4 -2] |
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Hint |
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