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1. |
If M(5, -4) is the midpoint of and C has coordinates (9, -2), find the coordinates of D. |
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A. |
(-3, 7) |
B. |
(7, -3) |
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C. |
(-6, 1) |
D. |
(1, -6) |
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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. |
12 units2 |
B. |
144 units2 |
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C. |
units2 |
D. |
units2 |
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Hint |
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3. |
Write the standard form of the equation of the circle that is tangent to the y-axis and has its center at (5, –3). |
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A. |
(x – 5)2 + (y + 3)2 = 5 |
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B. |
(x + 5)2 + (y – 3)2 = 25 |
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C. |
(x – 5)2 + (y + 3)2 = 25 |
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D. |
(x + 5)2 + (y – 3)2 = 5 |
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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 standard form of the equation x2 - 5y2 - 2x - 10y - 9 = 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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7. |
Write the equation of the parabola whose vertex is at (-6, 2) and whose focus is at (4, 2). |
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A. |
(y - 2)2 = 40(x + 6) |
B. |
(x - 2)2 = -40(y + 6) |
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C. |
(x - 2)2 = 40(y + 6) |
D. |
(y - 2)2 = 40(x - 4) |
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Hint |
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8. |
Identify the conic section with equation 8y2 + 2x - 8y - 10 = 0. |
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A. |
ellipse |
B. |
circle |
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C. |
parabola |
D. |
hyperbola |
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Hint |
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9. |
Solve the system of equations algebraically. x2 - y2 = 12 x2 + 2y2 = 24 |
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A. |
(2, 4), (-2, -4) |
B. |
no solution |
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C. |
(4, 2), (-4, -2) |
D. |
(±4, 2), (±4, -2) |
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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. |
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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12. |
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 = 2(x - 2.5) |
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C. |
(y + 2) 2 = 2x - 5 |
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D. |
(y - 2) 2 = 2x + 5 |
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Hint |
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13. |
In a general equation of a conic, A = 3, B = 0, C = 2, D = 6, E = 8 and F = 5. Write the equation in standard form. |
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A. |
3(x - 1)2 + 2( y - 2)2 = 6 |
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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 equation of the graph after it is rotated 60° about the origin. |
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A. |
15(x')2 + 10 x'y' + 31(y')2 = 36 |
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B. |
15(x')2 - 10 x'y' + 31(y')2 = 144 |
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C. |
21(x')2 + 10 x'y' + 31(y')2 = 144 |
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D. |
21(x')2 + 10 x'y' - 31(y')2 = 36 |
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Hint |
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15. |
Identify the graph of the equation 4x2 +3xy + 6y2 - 6 = 0 then find to the nearest degree. |
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A. |
parabola;  |
B. |
ellipse; - 28° |
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C. |
circle; -56° |
D. |
hyperbola; - 28° |
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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 4; x2 + y2 36 |
D. |
x2 + y2 2; x2 + y2 6 |
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Hint |
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