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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. |
48 |
B. |
24 |
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C. |
144 |
D. |
12 |
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Hint |
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2. |
Find the radius of a circle with the equation x2 + y2 + 6x - 10y + 28 = 0. |
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A. |
3 |
B. |
6 |
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C. |
 |
D. |
5 |
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Hint |
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3. |
Find the coordinates of the vertices of a hyperbola with equation y2 - 4x2 - 6y - 16x - 11 = 0. |
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A. |
(-6, 3), (2, 3) |
B. |
(-2, 1), (-2, 5) |
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C. |
(-4, 3), (2, 3) |
D. |
(-2, 7), (-2, -1) |
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Hint |
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4. |
Solve 2m2 - 3m -2 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. |
Suppose y varies directly as x, and y = -319 when x = 29. Write a direct variation equation that relates x and y. |
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A. |
 |
B. |
y = -11x |
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C. |
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D. |
y = 11x |
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Hint |
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6. |
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| 4 < x < 3} |
D. |
{x| 3 < x < 4} |
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Hint |
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7. |
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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8. |
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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9. |
What is an equation for a circle with a center at (3, -1) that is tangent to the line x = 7? |
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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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10. |
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. |
112.7 assignments |
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C. |
1.5 assignments |
D. |
24 assignments |
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Hint |
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11. |
Suppose x varies directly with y. If y increases by a factor of 2, what will happen to x? |
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A. |
It will decrease by a factor of 4. |
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B. |
It will decrease by a factor of 2. |
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C. |
It will increase by a factor of 2. |
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D. |
It will increase by a factor of 4. |
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Hint |
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12. |
What best describes the conic section shown? |
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A. |
point of intersection |
B. |
hyperbola |
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C. |
circle |
D. |
parabola |
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Hint |
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13. |
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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14. |
Find the coordinates of the foci of a hyperbola with an equation of  |
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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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