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1. |
Solve the system of equations by graphing. 
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A. |
(2, 6) |
B. |
(-6, 2) |
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C. |
(6, 2) |
D. |
(2, -6) |
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Hint |
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2. |
Simplify 6g(-3h - 4). |
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A. |
-18gh - 4 |
B. |
-18gh - 24g |
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C. |
-18g - 4 |
D. |
6gh - 4 |
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Hint |
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3. |
Factor 8a4b - 3ab2c. |
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A. |
8ab(a2 - 3bc) |
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B. |
a2b(8a2 - 3bc) |
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C. |
ab(8a3 - 3bc) |
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D. |
abc(8a3 - 3b) |
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Hint |
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4. |
Find an equation of a circle if the endpoints of a diameter are at (-2, -3) and (1, 7). |
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A. |
(x + 2)2 + (y + 3)2 = 109 |
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B. |
(x - 1)2 + (y - 7)2 = 109 |
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C. |
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D. |
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Hint |
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5. |
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. |
4.8 s |
B. |
3.2 s |
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C. |
0.1 s |
D. |
-0.1 s |
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Hint |
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6. |
The curve shown is________. |
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A. |
not skewed |
B. |
negatively skewed |
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C. |
normal |
D. |
positively skewed |
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Hint |
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7. |
Multiply  |
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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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8. |
 is an acute angle of a right triangle. If sin  find cos and
tan . |
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A. |
cos  and
tan  |
B. |
cos and
tan  |
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C. |
cos  and
tan |
D. |
cos and
tan |
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Hint |
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9. |
Use Pascal's Triangle to expand (a - x)3. |
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A. |
a3 - 3a2x + 3ax2 - x3 |
B. |
a3 + 3a2x + 3ax2 + x3 |
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C. |
a3 - 3a2x - 3ax2 - x3 |
D. |
a3 + 3a2x - 3ax2 + x3 |
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Hint |
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10. |
Solve 6z > 39. |
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A. |
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B. |
{z | z > 234} |
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C. |
{z | z < 234} |
D. |
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Hint |
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11. |
Solve the system of equations 7x 14y =4, 3x 6y =17. |
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A. |
(2, 1) |
B. |
(3, 2) |
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C. |
infinite solutions |
D. |
no unique solution |
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Hint |
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12. |
Simplify  |
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A. |
t |
B. |
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C. |
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D. |
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Hint |
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13. |
Solve -x2 + 3x + 5 = 0 by graphing. If exact roots cannot be found, state the consecutive integers between which the roots are located. |
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A. |
between 2 and1, and between 3 and 4 |
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B. |
between 2 and -1, and between 4 and 5 |
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C. |
between 1 and 0, and between 3 and 4 |
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D. |
between 1 and 0, and between 4 and 5 |
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Hint |
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14. |
Given that  and  , what value would not be in the domain of  ? |
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A. |
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B. |
3 |
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C. |
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D. |
0 |
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Hint |
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15. |
What is the equation of a parabola that is translated 3 units left and 2 units up from the parabola  ? |
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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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16. |
If the length of the transverse axis is 10 units, and the length of the conjugate axis is 6 units, what are the coordinates of the vertices? |
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A. |
(5, 0) and (-5, 0) |
B. |
Cannot be determined from given information. |
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C. |
(0, 5) and (0, -5) |
D. |
(3, 5) and (3, -5) |
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Hint |
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17. |
Which of the following is not a series? |
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A. |
6 3 3 3
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B. |
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C. |
8 + 2 + 2 + 2 +
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D. |
5 + 7 + 9 + 11 +
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Hint |
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18. |
Suppose a mathematician has a  probability of answering any math question correctly. What is the probability that he answers exactly 3 out of 5 math questions correctly? |
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A. |
0.0081 |
B. |
0.0729 |
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C. |
0.54 |
D. |
0.328 |
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Hint |
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19. |
In A = 65°, a =10, and b = 13. Find B. |
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A. |
B = 71.0° |
B. |
B = 44.2° |
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C. |
no solution |
D. |
B = 19.0° |
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Hint |
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20. |
Suppose a triangle has three sides which measure 10, 13, and 17. What is the measure of the largest angle? |
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A. |
88.7° |
B. |
91.3° |
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C. |
85.6° |
D. |
94.4° |
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Hint |
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