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1. |
Find the distance between points at (3, 7) and (-3, -1). |
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A. |
 units |
B. |
10 units |
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C. |
14 units |
D. |
 units |
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Hint |
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2. |
What is the distance between points with coordinates (1.32, 0.27) and (1.07, -0.33). |
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A. |
0.65 unit |
B. |
0.39 unit |
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C. |
0.81 unit |
D. |
1.02 units |
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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. |
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B. |
x = - 2 |
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C. |
y = - 2 |
D. |
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Hint |
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4. |
Find the radius of a circle with the equation x2 + y2 + 6x - 10y + 28 = 0. |
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A. |
5 |
B. |
 |
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C. |
6 |
D. |
3 |
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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. |
6 |
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C. |
2 |
D. |
9 |
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Hint |
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6. |
Find the coordinates of the vertices of a hyperbola with equation
y2 - 4x2 - 6y - 16x - 11 = 0. |
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A. |
(-4, 3), (2, 3) |
B. |
(-2, 7), (-2, -1) |
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C. |
(-2, 1), (-2, 5) |
D. |
(-6, 3), (2, 3) |
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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. |
parabola |
B. |
ellipse |
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C. |
hyperbola |
D. |
line |
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Hint |
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8. |
Find the coordinates of the foci of a hyperbola with equation  |
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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. |
What is the equation of a parabola that is translated 3 units left and 2 units up from the parabola  ? |
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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. |
What is equidistant to all of the points on a circle? |
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A. |
center |
B. |
diameter |
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C. |
radius |
D. |
tangent line |
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Hint |
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11. |
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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12. |
What is the major difference between circles and ellipses? |
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A. |
Ellipses may be elongated on one axis, while circles have a constant radius. |
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B. |
In circles, one of the squared terms has a coefficient that is = 0. |
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C. |
Ellipses are functions of x, while circles are not. |
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D. |
Equations for ellipses can always be written in the form  , while circles cannot. |
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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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