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1. |
If y varies inversely as x and y = 3 when x = 3, find y when x = 4. |
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A. |
4 |
B. |
2.25 |
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C. |
1 |
D. |
3.5 |
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Hint |
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2. |
Simplify  |
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A. |
 |
B. |
 |
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C. |
1 |
D. |
 |
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Hint |
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3. |
Assuming that , determine whether is sometimes, always, or never true. |
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A. |
never |
B. |
always |
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C. |
sometimes |
D. |
cannot be determined from given information |
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Hint |
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4. |
Find the slope of the line that passes through A and B . |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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5. |
What is the LCM of and . |
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A. |
(r – 1)(r + 3)(r + 9) |
B. |
(r – 1)2(r + 3)(r + 9) |
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C. |
r(r – 1)(r + 3)(r + 9) |
D. |
r(r – 1)2(r + 3)(r + 9) |
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Hint |
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6. |
What is the equation of the vertical asymptote of the function ? |
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A. |
There is a hole at 4, not a vertical asymptote. |
B. |
x = 4 |
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C. |
x = –4 |
D. |
x = 5 |
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Hint |
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7. |
Write the equation(s) of the vertical asymptote(s) of the function . |
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A. |
x = –5 |
B. |
x = 3, x = –5 |
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C. |
x = 3 |
D. |
x = –3, x = –5 |
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Hint |
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8. |
The amount of work done by James and his relative distance to Samuel is inversely related. When James is 6 feet away from Samuel, he can get 13 assignments done per hour. How many assignments can James get done when he is 52 feet away from Samuel? |
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A. |
112.7 assignments |
B. |
24 assignments |
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C. |
1.5 assignments |
D. |
59 assignments |
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Hint |
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9. |
Which type of function looks like a direct variation function when x > 0? |
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A. |
absolute value function |
B. |
quadratic function |
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C. |
square root function |
D. |
rational function |
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Hint |
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10. |
What type of function is the following? |
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A. |
direct variation |
B. |
rational |
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C. |
quadratic |
D. |
square root |
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Hint |
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11. |
Solve . Check your solution. |
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A. |
–4 |
B. |
6 |
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C. |
6 and –2 |
D. |
–2 |
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Hint |
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12. |
John ran a marathon on a windy day. He ran the first 13 miles into the wind, and the last 13 miles with the wind at his back, and he completed the course in 3 hours. How fast is John in still conditions if the wind speed was 4 miles per hour? |
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A. |
8.7 mph |
B. |
–1.6 mph |
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C. |
10.2 mph |
D. |
12.7 mph |
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Hint |
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