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1. |
If y varies inversely as x and y = 15 when x = 3, find y when x = 9. |
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A. |
45 |
B. |
3 |
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C. |
15 |
D. |
5 |
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Hint |
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2. |
The focus of a parabola has coordinates (2, 3). The equation of the directrix is x = 0. Find an equation of the parabola. |
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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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3. |
Find the radius of a circle with the equation x2 + y2 + 6x - 10y + 28 = 0. |
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A. |
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B. |
5 |
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C. |
3 |
D. |
6 |
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Hint |
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4. |
Find the coordinates of the vertices of a hyperbola with equation y2 - 4x2 - 6y - 16x - 11 = 0. |
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A. |
(-2, 7), (-2, -1) |
B. |
(-6, 3), (2, 3) |
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C. |
(-2, 1), (-2, 5) |
D. |
(-4, 3), (2, 3) |
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Hint |
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5. |
If y varies directly as x and y = 6 when x = 2, find y when x = 5. |
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A. |
6 |
B. |
15 |
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C. |
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D. |
2.4 |
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Hint |
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6. |
Use the direct variation equation to find x when y = -34. |
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A. |
x = 153 |
B. |
x = - |
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C. |
x =  |
D. |
x = -153 |
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Hint |
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7. |
Solve by graphing. |
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A. |
{x| 0 < x < 3.12} |
B. |
{x| –1.12 < x < 0} |
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C. |
{x| –1.12 < x < 3.12} |
D. |
{x| 0 < x < 3} |
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Hint |
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8. |
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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9. |
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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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. |
24 assignments |
B. |
112.7 assignments |
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C. |
1.5 assignments |
D. |
59 assignments |
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Hint |
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11. |
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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12. |
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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13. |
Which conic section is formed by a plane intersecting two parallel diameters? |
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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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14. |
Find the coordinates of the foci of a hyperbola with an equation of  |
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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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