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1. |
Find the distance between points at (3, 7) and (-3, -1). |
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A. |
 units |
B. |
14 units |
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C. |
10 units |
D. |
 units |
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Hint |
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2. |
What is the equation of the directrix of the parabola with equation
y = (x + 4)2 - 2? |
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A. |
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B. |
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C. |
y = - 2 |
D. |
x = - 2 |
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Hint |
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3. |
Find an equation of a circle if the endpoints of a diameter are at (-2, -3) and (1, 7). |
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A. |
(x - 1)2 + (y - 7)2 = 109 |
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B. |
(x + 2)2 + (y + 3)2 = 109 |
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C. |
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D. |
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Hint |
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4. |
The graph of the equation 4y2 - 2x - 4y -7 = 0 is a(n) _____. |
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A. |
parabola |
B. |
line |
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C. |
ellipse |
D. |
hyperbola |
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Hint |
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5. |
Solve the system of equations.
y = 2x + 3
y2 - x2 = 24 |
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A. |
(-5, -7), (1, 5) |
B. |
(-5, -7), (1, -5) |
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C. |
(0, 3) |
D. |
(5, 7) |
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Hint |
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6. |
Which point is closest to the midpoint of (2, 3) and (6, -1)? |
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A. |
(2, 3) |
B. |
(5, 4) |
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C. |
(6, -1) |
D. |
(3, -1) |
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Hint |
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7. |
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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8. |
What is an equation for a circle with a center at (3, -1) that is tangent to the line x = 7? |
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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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9. |
Write an equation for the ellipse shown. |
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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 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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11. |
What are the vertices and foci of a hyperbola with equation  ? |
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A. |
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B. |
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C. |
7; 65 |
D. |
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Hint |
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12. |
What are the equations of the asymptotes 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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13. |
What is the major difference between hyperbolas and parabolas? |
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A. |
Parabolas are always a function of x, while hyperbolas are not a function of either. |
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B. |
In parabolas, one of the squared terms has a coefficient that is = 0. |
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C. |
Hyperbolas have the potential to be wider than parabolas. |
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D. |
Hyperbolas are connected, while parabolas are not. |
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Hint |
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14. |
Which graph represents the solution of the system of inequalites  |
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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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