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1. |
Determine the distance between points at
 and  |
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A. |
 units |
B. |
 units |
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C. |
 units |
D. |
9 units |
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Hint |
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2. |
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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3. |
What is the equation of the directrix of the parabola with equation
y = (x + 4)2 - 2? |
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A. |
y = - 2 |
B. |
x = - 2 |
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C. |
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D. |
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Hint |
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4. |
The parabola with equation x = -2y2 + 3y - 5 opens _____. |
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A. |
right |
B. |
downward |
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C. |
upward |
D. |
left |
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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 = 25 |
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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 = 5 |
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Hint |
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6. |
Which is the graph of 4x2 + 9y2 + 16x -18y -11 = 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. |
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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8. |
The graph of the equation -x2 + 4y2 - 10x - 8y - 29 = 0 is a(n) _____. |
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A. |
circle |
B. |
ellipse |
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C. |
hyperbola |
D. |
parabola |
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Hint |
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9. |
Solve the system of equations.
x2 + y2 = 4 |
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A. |
no solution |
B. |
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C. |
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D. |
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Hint |
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10. |
What is an equation for a circle if the endpoints of a diameter are at (3, 4) and (-3, -2)? |
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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 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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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. |
(0, 5) and (0, -5) |
B. |
(5, 0) and (-5, 0) |
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C. |
(3, 5) and (3, -5) |
D. |
Cannot be determined from given information. |
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Hint |
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13. |
What is the major difference between circles and ellipses? |
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A. |
Ellipses are functions of x, while circles are not. |
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B. |
In circles, one of the squared terms has a coefficient that is = 0. |
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C. |
Equations for ellipses can always be written in the form  , while circles cannot. |
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D. |
Ellipses may be elongated on one axis, while circles have a constant radius. |
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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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