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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 equation of a circle is 3x2 + 3y2 – 6x + 12y – 24 = 0. Write the standard form of the equation. |
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A. |
(x – 1)2 + (y + 2)2 = 13 |
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B. |
(x – 1)2 + (y – 2)2 = 13 |
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C. |
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D. |
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Hint |
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3. |
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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4. |
Find the equation of the hyperbola with foci at (8, 2) and (-4, 2) whose transverse axis is 10 units long. |
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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 eccentricity of a parabola is _____. |
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A. |
0 |
B. |
sometimes 1 |
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C. |
greater than 1 |
D. |
always 1 |
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Hint |
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6. |
Find parametric equations for the equation y = x2 + 5. |
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A. |
x = t, y = t2 + 5,  |
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B. |
x = t, y = t2 + 5,  |
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C. |
x = t2 + 5, y = t, |
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D. |
x = t, y = t2 + 5, -2 < t < 2 |
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Hint |
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7. |
Find the angle  of rotation for the graph of the equation
x2 - xy - y2 - 2x - 2y + 6 = 0. Round to the nearest degree. |
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A. |
-27° |
B. |
30° |
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C. |
52° |
D. |
-13° |
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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. |
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. |
(-7, -5) |
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C. |
(6, 9) |
D. |
(1.5, 0) |
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Hint |
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10. |
Write the equation x2 + 4y2 + 8x - 8y + 16 = 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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11. |
Write an equation of an ellipse centered at the origin, with a = 4, b = 3 and the major axis on the y-axis. |
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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. |
Write the equation of the hyperbola with center at (2, 1), a focus at (2, 6) and eccentricity 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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13. |
Write the equation of a parabola in standard form if the general form of the equation is 6x2 + 12x - y + 8 = 0 |
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A. |
(x + 1) 2 = 6(y - 2) |
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B. |
(x - 1) 2 =  (y + 2) |
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C. |
(x + 1) 2 = (y - 2) |
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D. |
(x - 1) 2 = 6(y - 2) |
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Hint |
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14. |
Find the parametric equations for the equation  |
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A. |
y = 3 sin2 t, x = 2cos2 t , 0 < t < 2 |
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B. |
y2 = 9sin t, x2 = 2cos t , 0 < t < 2 |
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C. |
y = 3sin t, x = 2cos t , 0 < t < 2 |
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D. |
y = 9sin t, x = 2cos t , 0 < t < 2 |
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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. |
circle |
B. |
ellipse |
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C. |
parabola |
D. |
hyperbola |
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Hint |
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16. |
Solve the system of equations y+ 3 = 0 and
x2 = y2 - 9 algebraically. |
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A. |
(-3, 0) |
B. |
(0, 3) |
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C. |
(0, -3) |
D. |
(3, 0) |
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Hint |
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