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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. |
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), (-3, 0), (4, 2), (-2, 3) |
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C. |
(0, 4), (2, 9), (-1, -3), (4, 6) |
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D. |
(-1, 1), (1, 4), (6, 5), (4, 2) |
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Hint |
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3. |
Write the equation of a circle that passes through the origin and has its center at (–3, –2). |
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A. |
(x – 3)2 + (y + 2)2 = 10 |
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B. |
(x + 3)2 + (y + 2)2 = 13 |
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C. |
(x – 3)2 + (y – 2)2 = 13 |
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D. |
(x + 3)2 + (y + 2)2 = 5 |
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Hint |
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4. |
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. |
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B. |
(x + 4)2 + (y – 1)2 = 18 |
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C. |
(x – 4)2 + (y + 1)2 = 18 |
D. |
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Hint |
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5. |
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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Hint |
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6. |
The graph of the rectangular hyperbola xy = -5 lies in _____. |
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A. |
Quadrants III and IV |
B. |
Quadrants II and IV |
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C. |
Quadrants I and III |
D. |
Quadrants II and III |
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Hint |
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7. |
Identify the conic section represented by the equation
2x2 - 6x + 2y2 + 12y + 18 = 0. |
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A. |
hyperbola |
B. |
parabola |
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C. |
ellipse |
D. |
circle |
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Hint |
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8. |
Write an equation in general form of y = x2 - x + 5 for T(1, -2). |
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A. |
x2 - 3x + y + 5 = 0 |
B. |
x2 - 3x - y + 5 = 0 |
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C. |
x2 + 3x - y + 5 = 0 |
D. |
x2 - 3x - y - 5 = 0 |
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Hint |
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9. |
Graph the system of inequalities  and  . |
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A. |
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B. |
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D. |
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Hint |
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10. |
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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11. |
The equation of an ellipse is find the center and the foci. |
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A. |
(1, 4); (-1, 1) and (-1, 2) |
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B. |
(-2, 1);  |
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C. |
(-2, -1); |
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D. |
(4, 1); (1, -1) and (2, -1) |
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Hint |
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12. |
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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13. |
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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14. |
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 =  (y - 2) |
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B. |
(x + 1) 2 = 6(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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15. |
Identify the conic section with equation y2 = x + 2y - 16. |
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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. |
Identify the graph of
3x2 + 3y2 - 3xy +5x - 3y + 7 = 0. |
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A. |
hyperbola |
B. |
ellipse |
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C. |
circle |
D. |
parabola |
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Hint |
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