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1. |
If y varies directly as x and y = 35 when x = 5, find y when x = 11. |
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A. |
7 |
B. |
41 |
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C. |
77 |
D. |
 |
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Hint |
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2. |
If y varies inversely as x and y = 6 when x = 24, find x when y = 12. |
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A. |
24 |
B. |
12 |
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C. |
48 |
D. |
144 |
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Hint |
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3. |
What is the equation of the directrix of the parabola with equation
y = (x + 4)2 - 2? |
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A. |
 |
B. |
y = - 2 |
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C. |
x = - 2 |
D. |
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Hint |
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4. |
Find the coordinates of the center of a circle with equation
x2 + y2 - 2x + 8y + 13 = 0. |
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A. |
(1, -4) |
B. |
(1, 4) |
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C. |
(-1, -4) |
D. |
(-1, 4) |
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Hint |
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5. |
Write an equation for the hyperbola below. |
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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. |
Graph the hyperbola with equation x2 - 4y2 - 4x + 24y - 36 = 0. |
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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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7. |
Stan the Hot Dog Man sells 100 hot dogs per day for $2 each, so his daily revenue is $200. He estimates that for every 25 cents he increases the price of a hot dog, he will sell 5 fewer. What range of prices can he charge so that his daily revenue is at least $225? |
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A. |
$2.00-$4.00 |
B. |
$2.25-$2.50 |
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C. |
$3.00-$4.50 |
D. |
$2.50-$4.50 |
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Hint |
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8. |
If y varies directly as x and y = 2 when x = 4, find x when y = 4. |
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A. |
8 |
B. |
4 |
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C. |
2 |
D. |
16 |
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Hint |
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9. |
Solve x2 + 7x < –12 algebraically. |
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A. |
{x| 4 < x < 3} |
B. |
{x| –4 < x < –3} |
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C. |
{x| –3 < x < –4} |
D. |
{x| 3 < x < 4} |
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Hint |
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10. |
Write the equation  in standard form. |
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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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11. |
Which of the following could be the center of a circle that is tangent to the lines y = 3 and x = –2? |
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A. |
(0, 0) |
B. |
(2, -1) |
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C. |
(2, 1) |
D. |
(-3, 1) |
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Hint |
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12. |
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. |
59 assignments |
B. |
1.5 assignments |
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C. |
24 assignments |
D. |
112.7 assignments |
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Hint |
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13. |
What best describes the conic section shown? |
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A. |
circle |
B. |
parabola |
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C. |
hyperbola |
D. |
point of intersection |
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Hint |
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14. |
Which conic section is formed by a plane parallel to the y-axis but does not pass through the vertex? |
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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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