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1. |
Find the coordinates of the midpoint of the segment with endpoints at (3, -5) and (6, 7). |
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A. |
(4, 1) |
B. |
(9, 2) |
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C. |
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D. |
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Hint |
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2. |
Write an equation for the graph shown below. |
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A. |
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B. |
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C. |
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D. |
y = (x + 2)2 - 1 |
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Hint |
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3. |
Find an equation of the circle whose center is at (-2, 4) and has radius 5. |
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A. |
(x - 2)2 + (y + 4)2 = 5 |
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B. |
(x - 2)2 + (y + 4)2 = 25 |
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C. |
(x + 2)2 + (y - 4)2 = 5 |
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D. |
(x + 2)2 + (y - 4)2 = 25 |
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Hint |
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4. |
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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5. |
Find the length of the major axis of an ellipse with equation 9x2 + y2 + 36x - 6y + 36 = 0. |
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A. |
1 |
B. |
2 |
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C. |
6 |
D. |
9 |
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Hint |
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6. |
Find the standard form of the equation 3x2 + 2y2 + 42x - 8y + 149 = 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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7. |
The graph of the equation 3x2 + 2y2 + 18x + 21 = 0 is a(n) _____. |
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A. |
hyperbola |
B. |
ellipse |
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C. |
line |
D. |
parabola |
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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. |
(2, 3) |
B. |
(6, -1) |
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C. |
(5, 4) |
D. |
(3, -1) |
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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. |
Write an equation for the ellipse whose endpoints of its major axis are at (-1, 3) and (5, 3), and whose foci are at (0, 3) and (4, 3). |
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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. |
What is the equation of the hyperbola whose vertices are at (-4, 1) and (2, 1), and whose conjugate axis is of length 4 units? |
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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. |
If the length of the transverse axis is 10 units, and the length of the conjugate axis is 6 units, what are the coordinates of the vertices? |
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A. |
(3, 5) and (3, -5) |
B. |
Cannot be determined from given information. |
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C. |
(5, 0) and (-5, 0) |
D. |
(0, 5) and (0, -5) |
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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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