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1. |
An 18-foot ladder is placed 6 feet from the wall. Approximately how high does the ladder reach? |
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A. |
12 ft |
B. |
17.0 ft |
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C. |
19 ft |
D. |
17.8 ft |
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Hint |
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2. |
Graph the solution set of |3y + 9| > 12. |
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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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3. |
Which equation is graphed below? |
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A. |
3x + y = 6 |
B. |
x - 3y = -6 |
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C. |
x + 3y = 6 |
D. |
3x - y = -6 |
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Hint |
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4. |
Solve the system of equations. 
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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5. |
Simplify  |
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A. |
x - 4 |
B. |
x + 4 |
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C. |
x2 + 7 |
D. |
x + 7 |
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Hint |
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6. |
Simplify  |
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A. |
 |
B. |
9 |
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C. |
27 |
D. |
3 |
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Hint |
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7. |
Simplify (7 - 2i)(7 + 2i). |
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A. |
45 |
B. |
33 |
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C. |
53 |
D. |
49 |
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Hint |
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8. |
Simplify  |
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A. |
 |
B. |
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C. |
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D. |
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Hint |
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9. |
Find the coordinates of the midpoint of the segment with endpoints at
(3, -5) and (6, 7). |
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A. |
 |
B. |
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C. |
(4, 1) |
D. |
(9, 2) |
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Hint |
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10. |
Solve the system of equations.
x2 + y2 = 4 |
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A. |
no solution |
B. |
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C. |
 |
D. |
 |
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Hint |
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11. |
Use the graph to determine the solution of -x2 + 6x - 9 = 0. |
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A. |
2 |
B. |
4 |
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C. |
-9 |
D. |
3 |
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Hint |
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12. |
Find 2p(a) + p(a - 1) if p(x) = x2 + x. |
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A. |
3a2 - a |
B. |
3a2 + 3a |
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C. |
3a2 + a |
D. |
3a2 |
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Hint |
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13. |
Simplify the expression 8 (a + 2b) – 7b + 6 (3a – b). |
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A. |
152a – 88b |
B. |
26a + 3b |
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C. |
26a – 6b |
D. |
4a – 6b |
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Hint |
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14. |
Solve the system 4y – 6x + 8z = 13, 10y – 15x + 20z = 6, y – 5x + 2z = 5. |
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A. |
no solution |
B. |
(-3, 1, 7) |
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C. |
infinite solutions |
D. |
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Hint |
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15. |
Solve the system of equations 7x – 14y =4, 3x – 6y =17. |
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A. |
infinite solutions |
B. |
(2, 1) |
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C. |
no unique solution |
D. |
(3, –2) |
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Hint |
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16. |
Solve  |
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A. |
 |
B. |
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C. |
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D. |
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Hint |
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17. |
A quadratic function has two real roots. How many times does the graph cross the x-axis? |
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A. |
0 |
B. |
cannot be determined from given information. |
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C. |
2 |
D. |
1 |
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Hint |
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18. |
What must be done to the quadratic expression ax2 + bx in order to complete the square? |
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A. |
square b, then find one half of the result, and add to original. |
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B. |
find one half of b, square this result, and add to original |
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C. |
find one fourth of b and add to original |
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D. |
square b and add to original |
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Hint |
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19. |
Solve x4 – 625 = 0 |
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A. |
5, 5i |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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20. |
What is the LCM of  and  . |
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A. |
r(r – 1)2(r + 3)(r + 9) |
B. |
(r – 1)(r + 3)(r + 9) |
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C. |
r(r – 1)(r + 3)(r + 9) |
D. |
(r – 1)2(r + 3)(r + 9) |
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Hint |
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