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1. |
Which are the coordinates of the vertices of a parallelogram? |
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A. |
(-3, 2), (5, 1), (4, 0), (-1, 3) |
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B. |
(-1, 1), (1, 4), (6, 5), (4, 2) |
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C. |
(0, 4), (2, 9), (-1, -3), (4, 6) |
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D. |
(1, 1), (-3, 0), (4, 2), (-2, 3) |
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Hint |
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2. |
For the equation  , find the coordinates of the foci of 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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3. |
The graph of the rectangular hyperbola xy = -5 lies in _____. |
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A. |
Quadrants II and III |
B. |
Quadrants I and III |
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C. |
Quadrants II and IV |
D. |
Quadrants III and IV |
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Hint |
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4. |
Find the vertex of the parabola with equation y2 = 4x + 20. |
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A. |
(0, 5) |
B. |
(-5, 0) |
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C. |
(0, -5) |
D. |
(5, 0) |
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Hint |
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5. |
Solve the system of equations algebraically.
x - y + 2 = 0
x2 + y2 = 10 |
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A. |
(1, 3) |
B. |
(4, 6) |
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C. |
(-3, -1), (1, 3) |
D. |
(-1, -3), (3, 1) |
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Hint |
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6. |
Find the distance between points (5, 4) and (-2, -3). Round to the nearest tenth. |
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A. |
9.9 |
B. |
14 |
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C. |
3.2 |
D. |
7.1 |
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Hint |
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7. |
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 = 8 |
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B. |
(x + 3) 2 + (y - 2) 2 = 64 |
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C. |
(x - 3) 2 + (y - 2) 2 = 64 |
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D. |
(x - 3) 2 + (y - 2) 2 = 8 |
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Hint |
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8. |
The equation of a circle is (x - 8) 2 + (y + 3)2 = 48, find the center and the radius. |
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A. |
(8, 3);  |
B. |
(-8, 3);  |
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C. |
(-8, -3); |
D. |
(8, -3); |
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Hint |
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9. |
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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10. |
Find the equation of the asymptotes of a hyperbola with graph of  |
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A. |
y - 6 =  (x + 4) |
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B. |
y - 6 =  (x + 4) |
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C. |
y - 6 =  (x + 4) |
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D. |
y - 6 =  (x + 4) |
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Hint |
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11. |
Write the equation y2 - 4y - 2x - 1 = 0 in standard form. |
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A. |
(y + 2) 2 = 2(x + 2.5) |
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B. |
(y - 2) 2 = 2x + 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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12. |
Find the parametric equations for the equation  |
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A. |
y2 = 9sin t, x2 = 2cos t , 0 < t < 2 |
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B. |
y = 3sin t, x = 2cos t , 0 < t < 2 |
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C. |
y = 9sin t, x = 2cos t , 0 < t < 2 |
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D. |
y = 3 sin2 t, x = 2cos2 t , 0 < t < 2 |
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Hint |
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13. |
Identify the conic section with equation y2 = x + 2y - 16. |
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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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14. |
Identify the graph of
3x2 + 3y2 - 3xy +5x - 3y + 7 = 0. |
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A. |
parabola |
B. |
hyperbola |
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C. |
ellipse |
D. |
circle |
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Hint |
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15. |
Find the equation of the graph  after it is rotated 60° about the origin. |
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A. |
21(x')2 + 10 x'y' + 31(y')2 = 144 |
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B. |
15(x')2 + 10x'y' + 31(y')2 = 36 |
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C. |
15(x')2 - 10x'y' + 31(y')2 = 144 |
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D. |
21(x')2 + 10x'y' - 31(y')2 = 36 |
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Hint |
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16. |
Which set of inequalities represents the graph? |
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A. |
x2 + y2  2;
x2 + y2  6 |
B. |
x2 + y2 4;
x2 + y2 36 |
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C. |
x2 + y2 2;
x2 + y2 6 |
D. |
x2 + y2 4;
x2 + y2 36 |
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Hint |
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