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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. |
1.02 units |
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C. |
0.65 unit |
D. |
0.81 unit |
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Hint |
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2. |
Which is the graph of x = -y2 + 8y - 14? |
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A. |
 |
B. |
 |
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C. |
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D. |
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Hint |
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3. |
Find the length of the major axis of an ellipse with equation
9x2 + y2 + 36x - 6y + 36 = 0. |
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A. |
2 |
B. |
1 |
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C. |
6 |
D. |
9 |
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Hint |
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4. |
Find the coordinates of the vertices of a hyperbola with equation
y2 - 4x2 - 6y - 16x - 11 = 0. |
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A. |
(-6, 3), (2, 3) |
B. |
(-4, 3), (2, 3) |
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C. |
(-2, 1), (-2, 5) |
D. |
(-2, 7), (-2, -1) |
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Hint |
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5. |
Which point is the closest to (-2, 1)? |
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A. |
(-2, 5) |
B. |
(-5, 2) |
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C. |
(-4, -1) |
D. |
(-1, 4) |
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Hint |
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6. |
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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7. |
What is equidistant to all of the points on a circle? |
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A. |
diameter |
B. |
tangent line |
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C. |
radius |
D. |
center |
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Hint |
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8. |
Write the equation  in standard form. |
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A. |
 |
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 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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10. |
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. |
Cannot be determined from given information. |
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C. |
(3, 5) and (3, -5) |
D. |
(5, 0) and (-5, 0) |
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Hint |
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11. |
What is the major difference between hyperbolas and parabolas? |
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A. |
In parabolas, one of the squared terms has a coefficient that is = 0. |
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B. |
Hyperbolas are connected, while parabolas are not. |
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C. |
Hyperbolas have the potential to be wider than parabolas. |
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D. |
Parabolas are always a function of x, while hyperbolas are not a function of either. |
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Hint |
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12. |
What is the major difference between circles and ellipses? |
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A. |
Equations for ellipses can always be written in the form  , while circles cannot. |
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B. |
Ellipses are functions of x, while circles are not. |
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C. |
Ellipses may be elongated on one axis, while circles have a constant radius. |
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D. |
In circles, one of the squared terms has a coefficient that is = 0. |
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Hint |
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13. |
Solve the system   . |
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A. |
 |
B. |
 |
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C. |
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D. |
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Hint |
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14. |
Gail and Gayla throw balls into the air. The equation  represents Gail's throw, where x is time in seconds, and y is height. Gayla's throw is represented by  When are the balls at the same height? |
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A. |
at 7 seconds |
B. |
at –1 seconds |
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C. |
at 5 seconds |
D. |
never |
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Hint |
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