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1. |
Find the distance between points at (-4, 5) 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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2. |
The vertices of a rectangle are at (0, -2), (2, 0), (-1, 3), and (-3, 1). Find the area of the rectangle. |
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A. |
 units2 |
B. |
144 units2 |
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C. |
 units2 |
D. |
12 units2 |
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Hint |
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3. |
The equation of a circle is 3x2 + 3y2 – 6x + 12y – 24 = 0. Find its center and radius. |
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A. |
(1, –2); 13 |
B. |
(–1, 2);  |
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C. |
(–1, 2); 13 |
D. |
(1, –2); |
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Hint |
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4. |
Write the general form of the equation of the circle that passes through the points at (4, 2), (–3, 1), and (–2, –6). |
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A. |
x2 + y2 + 2x – 4y – 20 = 0 |
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B. |
x2 + y2 – 2x – 4y + 20 = 0 |
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C. |
x2 + y2 + 2x + 4y – 20 = 0 |
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D. |
x2 + y2 – 2x + 4y – 20 = 0 |
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Hint |
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5. |
Write the equation x2 + 2y2 + 2x + 4y - 1 = 0 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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6. |
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. |
(-5, 0) |
D. |
(0, -5) |
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Hint |
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7. |
Write the equation y2 - 2y - 2x - 1 = 0 in standard form. |
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A. |
(y - 1)2 = 2(x + 1) |
B. |
(y + 1)2 = -2(x + 1) |
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C. |
(y + 1)2 = 2(x - 1) |
D. |
(y - 1)2 = 2(x -1) |
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Hint |
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8. |
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 = 4 |
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C. |
x2 - y2 = 16 |
D. |
x2 + y2 = 16 |
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Hint |
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9. |
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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10. |
Write the equation of the ellipse 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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11. |
Find the coordinates of the center of the hyperbola with an equation of  |
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A. |
(-6, 2) |
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B. |
(-2, 6) |
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C. |
(6, -2) |
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D. |
(2 -6) |
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Hint |
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12. |
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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13. |
Identify the conic section with equation y2 = x + 2y - 16. |
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A. |
ellipse |
B. |
circle |
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C. |
hyperbola |
D. |
parabola |
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Hint |
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14. |
Identify the graph of the equation 4x2 +3xy + 6y2 - 6 = 0 then find  to the nearest degree. |
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A. |
hyperbola; - 28° |
B. |
ellipse; - 28° |
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C. |
parabola;  |
D. |
circle; -56° |
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Hint |
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15. |
Identify the graph of the equation
x2 - 8xy + 6y2 + 4 y + 5 = 0. |
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A. |
hyperbola |
B. |
ellipse |
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C. |
parabola |
D. |
circle |
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Hint |
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16. |
Which set of inequalities represents the graph? |
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A. |
x2 + y2  3;
y x + 1 |
B. |
x2 + y2 9;
y  x + 1 |
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C. |
x2 + y2 9;
y x + 1 |
D. |
x2 + y2 3;
x y + 1 |
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Hint |
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