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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. |
41 |
B. |
7 |
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C. |
77 |
D. |
 |
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Hint |
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2. |
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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3. |
Find the coordinates of the center of an ellipse with equation 9x2 + 4y2 - 72x + 16y + 124 = 0. |
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A. |
(4, 2) |
B. |
(2, 3) |
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C. |
(4, -2) |
D. |
(4, 9) |
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Hint |
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4. |
Use the direct variation equation to find x when y = -34. |
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A. |
x = - |
B. |
x = 153 |
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C. |
x =  |
D. |
x = -153 |
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Hint |
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5. |
If y varies inversely as x and y = 4 when x = , what is y when x = 3? |
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A. |
24 |
B. |
 |
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C. |
6 |
D. |
 |
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Hint |
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6. |
Which of the following is not an example of inverse variation? |
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A. |
the distance covered if several different people drive 200 miles to the game at variable speeds |
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B. |
the number of running plays a football team can run if they elect to use 2 running backs for 8 plays each, or 1 running back for 16 plays |
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C. |
the number of samples a store can give away if they give 1 free sample to each of 300 people, or decide to give 2 samples to 300 people |
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D. |
the number of computers a company gives if it has enough computers to give 24 people 1 computer, or 12 people two computers |
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Hint |
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7. |
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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8. |
When is it true that ? |
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A. |
 |
B. |
-1 |
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C. |
all real numbers |
D. |
 |
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Hint |
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9. |
Which of the following parabolas opens right? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
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Hint |
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10. |
What is equidistant to all of the points on a circle? |
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A. |
diameter |
B. |
tangent line |
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C. |
radius |
D. |
center |
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Hint |
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11. |
Find the directrix of x2 = 9y. |
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A. |
 |
B. |
y = 0 |
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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. |
 |
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. |
 |
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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