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1. |
Solve 2(y - 9) < 6. |
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A. |
{y | y < 6} |
B. |
{y | y > -6} |
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C. |
{y | y > 12} |
D. |
{y | y < 12} |
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Hint |
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2. |
The temperature f(x) of water in a lake in degrees Fahrenheit is estimated by the function shown below, where x is the depth in feet of the water. What would be the temperature of water 30 feet below the surface? |
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A. |
33°F |
B. |
71.25°F |
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C. |
63°F |
D. |
111°F |
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Hint |
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3. |
Use Cramer's rule to find the value of x in the system of equations. 
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A. |
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B. |
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C. |
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D. |
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Hint |
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4. |
Solve the system of equations. 
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A. |
(10, -1, 11) |
B. |
(7, -2, 1) |
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C. |
(13, 0, -4) |
D. |
(1, -4, 6) |
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Hint |
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5. |
Find (c2 + 2c - 6)(c + 5). |
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A. |
c3 + 2c2 + 5 |
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B. |
c3 + 2c2 - 30 |
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C. |
c3 + 7c2 + 4c - 30 |
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D. |
c3 + 2c2 - 6c - 30 |
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Hint |
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6. |
Factor 2r3 + 8r2 - 10r completely. |
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A. |
2r(r - 1)(r + 5) |
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B. |
2r(r2 + 4r - 5) |
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C. |
2(r3 + 4r2 - 5r) |
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D. |
(2r - 1)(r + 5) |
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Hint |
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7. |
Simplify  |
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A. |
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B. |
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C. |
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D. |
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Hint |
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8. |
Find p(2) for p(x) = x4 + 3x3 - 2x2 - 4x + 1. |
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A. |
-7 |
B. |
-1 |
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C. |
12 |
D. |
25 |
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Hint |
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9. |
Graph f(x) = x3 - 4x2 + 2x – 3. |
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A. |
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B. |
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C. |
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D. |
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Hint |
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10. |
Find g[h(x)] if g(x) = x2 and h(x) = x + 3. |
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A. |
x2 - x - 3 |
B. |
x2 + 6x + 9 |
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C. |
x3 + 3x2 |
D. |
x2 + x + 3 |
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Hint |
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11. |
If y varies directly as x and y = 2 when x = 4, find x when y = 4. |
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A. |
4 |
B. |
8 |
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C. |
2 |
D. |
16 |
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Hint |
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12. |
Solve log5 ( x + 2) + log5 ( 2x - 1) = 2. |
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A. |
no solution |
B. |
 , 3 |
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C. |
3 |
D. |
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Hint |
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13. |
Find the first four iterates of the function f(x) = 7x + 2 if x0 = 3. |
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A. |
3, 23, 47, 81 |
B. |
7, 12, 18, 36 |
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C. |
23, 163, 1143, 8003 |
D. |
23, 76, 114, 208 |
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Hint |
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14. |
Find the expansion of  . |
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A. |
16a + a3 + 6a2 + 16a + 16 |
B. |
a4 + 8a3 + 16a2 + 8a + 2 |
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C. |
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D. |
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Hint |
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15. |
Given that   and  use the fact that  to find AB + AC. |
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A. |
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B. |
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C. |
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D. |
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Hint |
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16. |
Find  |
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A. |
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B. |
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C. |
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D. |
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Hint |
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17. |
Simplify –5x(4y). |
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A. |
-20xy |
B. |
20xy |
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C. |
-9xy |
D. |
-xy |
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Hint |
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18. |
Simplify the expression  . |
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A. |
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B. |
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C. |
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D. |
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Hint |
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19. |
In a certain job, the function  represents the amount of hours worked x in relation to the amount of stress f(x) felt by the workers. For what values of x does this graph have meaning? |
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A. |
for all values of x |
B. |
for  |
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C. |
for and x < 40 |
D. |
for  and x > 40, because stress is a non-negative quantity |
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Hint |
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20. |
Solve  . |
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A. |
0 and 7 |
B. |
7 |
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C. |
– and 7 |
D. |
– |
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Hint |
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