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1. |
Find the distance between points at (3, 7) and (-3, -1). |
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A. |
units |
B. |
14 units |
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C. |
10 units |
D. |
units |
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Hint |
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2. |
Find the coordinates of the midpoint of the segment whose endpoints have coordinates (-2, 4) and (3, -1). |
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A. |
(-5, 5) |
B. |
(1, 3) |
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C. |
 |
D. |
 |
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Hint |
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3. |
Find the vertex of the graph of f(x) = x2 + 4x - 5. |
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A. |
(-2, -9) |
B. |
(0, -5) |
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C. |
(-2, 9) |
D. |
(2, 7) |
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Hint |
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4. |
Find the axis of symmetry of the graph of g(x) = x2 - 5x + 2. |
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A. |
x = 2 |
B. |
 |
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C. |
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D. |
x = -5 |
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Hint |
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5. |
Solve m2 - 2m = 15 by factoring. |
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A. |
3 |
B. |
-3, 5 |
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C. |
-5, 3 |
D. |
5 |
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Hint |
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6. |
Solve 4x2 - 8x + 3 = 0 by completing the square. |
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A. |
, 3 |
B. |
 |
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C. |
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D. |
1, 3 |
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Hint |
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7. |
Solve x2 - 6x + 10 = 0 by completing the square. |
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A. |
3 ± i |
B. |
1 ± i |
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C. |
-3 ± i |
D. |
2, 4 |
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Hint |
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8. |
Suppose a ball is thrown straight up at a speed of 50 feet per second. The time in seconds that it takes for the ball to hit the ground can be found by solving the equation 5 + 50t - 16t2 = 0. Approximately how long does it take for the ball to hit the ground? |
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A. |
0.1 s |
B. |
-0.1 s |
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C. |
4.8 s |
D. |
3.2 s |
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Hint |
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9. |
Which function has a graph that opens upward? |
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A. |
f(x) = 2x2 - 5x - 2 |
B. |
f(x) = -5x2 -6x -3 |
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C. |
f(x) = -x2 + 3x -12 |
D. |
f(x) = -x2 + 4x + 7 |
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Hint |
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10. |
Find the equation of the axis of symmetry of the graph of y = 2x2 - 8x + 5. |
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A. |
x = -4 |
B. |
x = 4 |
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C. |
x = 2 |
D. |
x = -2 |
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Hint |
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11. |
Find the coordinates of the vertex of the graph of the equation y = -3x2 - 12x - 5. |
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A. |
(2, -41) |
B. |
(1, -20) |
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C. |
(-2, 7) |
D. |
(-4, -5) |
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Hint |
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12. |
Use the quadratic formula to solve 3y2 + 2 = 8y. Approximate the solutions to the nearest hundredth. |
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A. |
0.43, 2.87 |
B. |
-0.64, 1.32 |
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C. |
0.56, 4.77 |
D. |
0.28, 2.39 |
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Hint |
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13. |
Solve 0 = x2 + 4x + 5 by graphing. |
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A. |
2 |
B. |
–1, 5 |
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C. |
1, –5 |
D. |
no real roots |
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Hint |
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14. |
Find the axis of symmetry of the following function:  |
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A. |
x = –7 |
B. |
x =  |
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C. |
x =  |
D. |
x = 7 |
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Hint |
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