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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. |
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D. |
77 |
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Hint |
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2. |
If y varies inversely as x and y = 15 when x = 3, find y when x = 9. |
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A. |
45 |
B. |
15 |
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C. |
5 |
D. |
3 |
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Hint |
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3. |
Which is the graph of x = -y2 + 8y - 14? |
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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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4. |
Find an equation of the circle whose center is at (-2, 4) and has radius 5. |
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A. |
(x + 2)2 + (y - 4)2 = 5 |
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B. |
(x - 2)2 + (y + 4)2 = 25 |
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C. |
(x - 2)2 + (y + 4)2 = 5 |
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D. |
(x + 2)2 + (y - 4)2 = 25 |
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Hint |
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5. |
Find an equation of a circle if the endpoints of a diameter are at (-2, -3) and (1, 7). |
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A. |
 |
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B. |
(x - 1)2 + (y - 7)2 = 109 |
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C. |
(x + 2)2 + (y + 3)2 = 109 |
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D. |
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Hint |
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6. |
Write an equation for the hyperbola below. |
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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. |
Find the coordinates of the vertices of a hyperbola with equation y2 - 4x2 - 6y - 16x - 11 = 0. |
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A. |
(-2, 1), (-2, 5) |
B. |
(-2, 7), (-2, -1) |
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C. |
(-6, 3), (2, 3) |
D. |
(-4, 3), (2, 3) |
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Hint |
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8. |
Suppose y varies directly as x, and y = -65 when x = -26. Write a direct variation equation that relates x and y. |
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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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9. |
When Hipolito drives to Cleveland, he always arrives at exactly 5 o'clock. Therefore, if he leaves for Cleveland at 1:00, he can average 60 miles per hour. What time should he leave if he wants to average 75 miles per hour? |
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A. |
1:40 |
B. |
1:48 |
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C. |
3:12 |
D. |
3:20 |
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Hint |
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10. |
Solve x2 + 7x < –12 algebraically. |
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A. |
{x| –3 < x < –4} |
B. |
{x| 4 < x < 3} |
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C. |
{x| 3 < x < 4} |
D. |
{x| –4 < x < –3} |
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Hint |
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11. |
When is it true that ? |
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A. |
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B. |
 |
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C. |
-1 |
D. |
all real numbers |
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Hint |
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12. |
Find the focus of x2 = 9y. |
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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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13. |
What best describes the conic section shown? |
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A. |
point of intersection |
B. |
circle |
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C. |
parabola |
D. |
hyperbola |
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Hint |
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14. |
Which diagram shows a plane parallel to the x-axis? |
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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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