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1. |
Write the equation of the circle that is tangent to the line with equation
x + y = –3 and has its center at (4, –1). |
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A. |
(x – 4)2 + (y + 1)2 = 18 |
B. |
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C. |
(x + 4)2 + (y – 1)2 = 18 |
D. |
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Hint |
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2. |
Write the equation of the ellipse whose foci are at (-3, 0) and (3, 0) and
a = 5. |
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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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3. |
The eccentricity of a parabola is _____. |
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A. |
sometimes 1 |
B. |
greater than 1 |
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C. |
always 1 |
D. |
0 |
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Hint |
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4. |
Identify the conic section with equation 8y2 + 2x - 8y - 10 = 0. |
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A. |
parabola |
B. |
circle |
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C. |
hyperbola |
D. |
ellipse |
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Hint |
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5. |
Find the rectangular equation of the curve whose parametric equations are
x = 4 cos t and y = 4 sin t, where  . |
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A. |
x2 - y2 = 4 |
B. |
x2 + y2 = 16 |
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C. |
x2 + y2 = 4 |
D. |
x2 - y2 = 16 |
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Hint |
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6. |
Find the equation of the graph of  after it is rotated 30° about the origin. |
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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. |
Solve the system of equations x + 2 = 0 and y2 = 36 - x2 algebraically. Round to the nearest tenth. |
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A. |
(-2, 5.7) |
B. |
(-2, ±5.7) |
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C. |
(-2, -5.7) |
D. |
(±2, 5.7) |
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Hint |
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8. |
Graph the system of inequalities  and  . |
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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. |
Find the distance between points (5, 4) and (-2, -3). Round to the nearest tenth. |
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A. |
7.1 |
B. |
3.2 |
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C. |
14 |
D. |
9.9 |
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Hint |
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10. |
If one of the endpoints of a segment is at (4, 3), and the midpoint is
(-1, -3) what is the other endpoint? |
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A. |
(6, 9) |
B. |
(1.5, 0) |
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C. |
(-6, -9) |
D. |
(-7, -5) |
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Hint |
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11. |
Write the equation of a circle that has a diameter with endpoints at (1, 0) and (5, 4). |
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A. |
(x - 3) 2 + (y - 2) 2 = 64 |
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B. |
(x + 3) 2 + (y - 2) 2 = 64 |
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C. |
(x - 3) 2 + (y - 2) 2 = 8 |
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D. |
(x + 3) 2 + (y + 2) 2 = 8 |
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Hint |
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12. |
The equation of an ellipse is find the center and the foci. |
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A. |
(-2, -1);  |
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B. |
(-2, 1); |
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C. |
(1, 4); (-1, 1) and (-1, 2) |
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D. |
(4, 1); (1, -1) and (2, -1) |
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Hint |
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13. |
Find the equation of the asymptotes of the hyperbola with a graph 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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14. |
Find the coordinates of the center of the hyperbola with an equation of  |
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A. |
(-2, 6) |
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B. |
(2 -6) |
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C. |
(-6, 2) |
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D. |
(6, -2) |
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Hint |
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15. |
Write the equation y2 - 4y - 2x - 1 = 0 in standard form. |
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A. |
(y + 2) 2 = 2x - 5 |
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B. |
(y - 2) 2 = 2(x - 2.5) |
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C. |
(y + 2) 2 = 2(x + 2.5) |
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D. |
(y - 2) 2 = 2x + 5 |
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Hint |
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16. |
Identify the graph of
3x2 + 3y2 - 3xy +5x - 3y + 7 = 0. |
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A. |
circle |
B. |
parabola |
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C. |
ellipse |
D. |
hyperbola |
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Hint |
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