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1. |
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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2. |
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. |
(4, 9) |
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C. |
(4, 2) |
D. |
(2, 3) |
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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. |
(-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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4. |
Find the slopes of the asymptotes of the hyperbola with equation
3x2 - y2 - 18x - 2y + 20 = 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. |
The graph of the equation 4y2 - 2x - 4y -7 = 0 is a(n) _____. |
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A. |
ellipse |
B. |
line |
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C. |
hyperbola |
D. |
parabola |
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Hint |
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6. |
The graph of the equation 3x2 + 2y2 + 18x + 21 = 0 is a(n) _____. |
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A. |
line |
B. |
hyperbola |
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C. |
ellipse |
D. |
parabola |
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Hint |
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7. |
Which point is the farthest from (2, –3)? |
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A. |
(1, -1) |
B. |
(4, 0) |
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C. |
(-1, -4) |
D. |
(-1, -2) |
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Hint |
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8. |
Which point is closest to the midpoint of (2, 3) and (6, -1)? |
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A. |
(3, -1) |
B. |
(5, 4) |
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C. |
(6, -1) |
D. |
(2, 3) |
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Hint |
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9. |
Write the equation  in standard form. |
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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. |
Which of the following parabolas opens right? |
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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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11. |
Write the equation  in standard form. |
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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 graph represents the ellipse  ? |
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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. |
Solve the system   . |
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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. |
Solve the system   |
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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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