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1. |
Solve 5x2 – 10x = 0. |
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A. |
x = 2 |
B. |
x = 0 or x = -2 |
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C. |
x = 0 or x = 2 |
D. |
x = 0 |
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Hint |
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2. |
Solve x2 – x – 72 = 0. |
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A. |
x = -8 or x = 9 |
B. |
x = -8 |
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C. |
x = 8 or x = -9 |
D. |
x = 9 |
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Hint |
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3. |
State the excluded values of x in the expression . |
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A. |
 |
B. |
or - 3 |
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C. |
or 3 |
D. |
, 3, or 4 |
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Hint |
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4. |
Find . |
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A. |
 |
B. |
c + 2 |
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C. |
 |
D. |
 |
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Hint |
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5. |
Simplify the expression . |
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A. |
132 ft/s |
B. |
100 mph |
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C. |
88 ft/s |
D. |
198 s/ft |
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Hint |
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6. |
Find . |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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7. |
Express in simplest form. |
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A. |
 |
B. |
2 |
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C. |
 |
D. |
 |
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Hint |
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8. |
Find . |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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9. |
Write as a rational expression. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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10. |
Which of the following is not an example of inverse variation? |
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A. |
the distance covered if several different people drive 200 miles to the game at variable speeds |
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B. |
the number of running plays a football team can run if they elect to use 2 running backs for 8 plays each, or 1 running back for 16 plays |
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C. |
the number of samples a store can give away if they give 1 free sample to each of 300 people, or decide to give 2 samples to 300 people |
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D. |
the number of computers a company gives if it has enough computers to give 24 people 1 computer, or 12 people two computers |
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Hint |
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11. |
If x varies inversely as y and the constant of variation is 24, what are x and y if it is true that x + y = 11? |
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A. |
–6 and –4 |
B. |
–3 and –8 |
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C. |
6 and 4 |
D. |
3 and 8 |
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Hint |
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12. |
State the excluded value(s) of . |
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A. |
5, –5, 2, 3 |
B. |
5 |
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C. |
5, –5 |
D. |
2, 3 |
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Hint |
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13. |
The speed of light is 3 × 108 meters per second. How fast is this in kilometers per hour? |
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A. |
1.8 × 107 km/hr |
B. |
3 × 105 km/hr |
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C. |
8.3 × 107 km/hr |
D. |
1.08 × 109 km/hr |
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Hint |
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14. |
Find . |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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15. |
A builder wants the kitchen to have an area of x2 – 2x – 24, and a length of x + 4. What is the width? |
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A. |
– 6 |
B. |
x + 6 |
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C. |
x – 6 |
D. |
6 |
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Hint |
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16. |
Find . |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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17. |
Which of the following is not one of the steps for adding rational expressions with unlike denominators? |
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A. |
Add the unlike denominators together. |
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B. |
Change each rational expression into an equivalent expression with the LCD as the denominator. |
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C. |
Find the LCD. |
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D. |
Add just as with rational expressions with like denominators. |
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Hint |
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18. |
Gary is inches tall, and weighs pounds. What is his ratio in pounds per inch of height? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
3 |
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Hint |
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19. |
Suppose one runner can run 8 laps in 12 minutes, and another runner can run 8 laps in 10 minutes. If they start at the same time, after how many laps by the fast runner will he lap the slow runner? |
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A. |
after 5 laps |
B. |
after 8 laps |
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C. |
after 7.5 laps |
D. |
after 6 laps |
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Hint |
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20. |
Solve . |
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A. |
2 |
B. |
–2 |
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C. |
no solution |
D. |
{2, –2} |
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Hint |
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