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1. |
If y varies inversely as x and y = 6 when x = 24, find x when y = 12. |
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A. |
12 |
B. |
48 |
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C. |
144 |
D. |
24 |
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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. |
5 |
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C. |
15 |
D. |
3 |
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Hint |
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3. |
Find an equation for the graph below. |
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A. |
(x + 4)2 + (y - 1)2 = 4 |
B. |
(x - 4)2 + (y + 1)2 = 4 |
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C. |
(x - 4)2 + (y + 1)2 = 2 |
D. |
(x + 4)2 + (y - 1)2 = 2 |
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Hint |
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4. |
Which is the graph of 4x2 + 9y2 + 16x -18y -11 = 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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5. |
Find the coordinates of the vertices of a hyperbola with equation y2 - 4x2 - 6y - 16x - 11 = 0. |
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A. |
(-4, 3), (2, 3) |
B. |
(-2, 1), (-2, 5) |
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C. |
(-2, 7), (-2, -1) |
D. |
(-6, 3), (2, 3) |
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Hint |
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6. |
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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7. |
Use the direct variation equation to find x when y = -34. |
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A. |
x =  |
B. |
x = - |
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C. |
x = 153 |
D. |
x = -153 |
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Hint |
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8. |
Solve by graphing. |
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A. |
{x| 0 < x < 3} |
B. |
{x| –1.12 < x < 0} |
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C. |
{x| –1.12 < x < 3.12} |
D. |
{x| 0 < x < 3.12} |
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Hint |
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9. |
When is it true that x2 + x > –2? |
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A. |
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B. |
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C. |
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D. |
all real numbers |
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Hint |
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10. |
Which of the following parabolas opens right? |
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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. |
What is an equation for a circle if the endpoints of a diameter are at (3, 4) and (-3, -2)? |
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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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12. |
Find the directrix of x2 = 9y. |
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A. |
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B. |
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C. |
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D. |
y = 0 |
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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 conic section is formed by a plane intersecting only the vertex? |
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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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