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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. |
0.81 unit |
B. |
0.39 unit |
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C. |
1.02 units |
D. |
0.65 unit |
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Hint |
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2. |
Write an equation for the graph shown below. |
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A. |
y = (x + 2)2 - 1 |
B. |
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C. |
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D. |
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Hint |
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3. |
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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4. |
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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5. |
The graph of the equation 3x2 + 2y2 + 18x + 21 = 0 is a(n) _____. |
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A. |
line |
B. |
parabola |
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C. |
ellipse |
D. |
hyperbola |
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Hint |
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6. |
Solve the system of equations. x2 + y2 = 4 |
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A. |
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B. |
no solution |
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C. |
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D. |
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Hint |
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7. |
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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8. |
Which point is the farthest from (2, –3)? |
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A. |
(-1, -4) |
B. |
(1, -1) |
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C. |
(-1, -2) |
D. |
(4, 0) |
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Hint |
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9. |
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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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. |
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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12. |
What is the equation of the hyperbola whose vertices are at (2, -9) and (2, 7), and whose foci are at (2, -11) and (2, 9)? |
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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 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 may be elongated on one axis, while circles have a constant radius. |
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C. |
Ellipses are functions of x, while circles are not. |
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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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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 5 seconds |
B. |
at –1 seconds |
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C. |
never |
D. |
at 7 seconds |
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Hint |
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