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1. |
What is the distance between points with coordinates (1.32, 0.27) and (1.07, -0.33). |
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A. |
0.39 unit |
B. |
0.81 unit |
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C. |
0.65 unit |
D. |
1.02 units |
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Hint |
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2. |
Find the coordinates of the midpoint of the segment whose endpoints have coordinates (-2, 4) and (3, -1). |
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A. |
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B. |
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C. |
(1, 3) |
D. |
(-5, 5) |
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Hint |
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3. |
The parabola with equation x = -2y2 + 3y - 5 opens _____. |
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A. |
left |
B. |
right |
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C. |
downward |
D. |
upward |
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Hint |
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4. |
Which is the graph of x = -y2 + 8y - 14? |
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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. |
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 = 25 |
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D. |
(x + 2)2 + (y - 4)2 = 5 |
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Hint |
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6. |
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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7. |
Find the length of the minor axis of an ellipse with equation 5x2 + 3y2 + 10x - 18y + 17 = 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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8. |
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. |
(-4, 3), (2, 3) |
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C. |
(-6, 3), (2, 3) |
D. |
(-2, 1), (-2, 5) |
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Hint |
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9. |
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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10. |
The graph of the equation -x2 + 4y2 - 10x - 8y - 29 = 0 is a(n) _____. |
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A. |
parabola |
B. |
ellipse |
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C. |
circle |
D. |
hyperbola |
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Hint |
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11. |
The graph of the equation 3x2 + 2y2 + 18x + 21 = 0 is a(n) _____. |
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A. |
hyperbola |
B. |
line |
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C. |
parabola |
D. |
ellipse |
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Hint |
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12. |
Solve the system of equations. x + y = 5 (x - 1)2 + y2 = 8 |
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A. |
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B. |
no solution |
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C. |
(3, 2) |
D. |
(3, -2) |
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Hint |
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13. |
Which graph shows the solution of the system of inequalities?  |
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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. |
Write an equation for the ellipse whose endpoints of its major axis are at (-3, 1) and (5, 1), and that of its minor axis are at (1, -1) and (1, 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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