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1. |
Given that the inverse of the coefficient matrix is , solve the matrix equation . |
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A. |
(2, 4) |
B. |
(4, 3) |
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C. |
(-2, 3) |
D. |
(-4, 3) |
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Hint |
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2. |
Simplify  |
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A. |
 |
B. |
 |
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C. |
2i |
D. |
 |
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Hint |
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3. |
Find the length of the latus rectum of the parabola with equation y = 3x2 + 2x - 6. |
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A. |
unit |
B. |
unit |
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C. |
unit |
D. |
1 unit |
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Hint |
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4. |
Solve y2 + 8y + 16 = 0 by factoring. |
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A. |
4, 8 |
B. |
-4, 4 |
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C. |
4 |
D. |
-4 |
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Hint |
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5. |
The KlipKlamp company manufactures paper clips with masses that are normally distributed with a mean of 2.5 grams and a standard deviation of 0.125 gram. What percent of the clips are more than 2.75 grams? |
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A. |
16% |
B. |
5% |
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C. |
0.5% |
D. |
2.5% |
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Hint |
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6. |
 |
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A. |
–7 + 8 + (-9) + 10; 2 |
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B. |
7 – 8 + 9 – 10; -2 |
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C. |
7 + 8 + 9 + 10; 34 |
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D. |
–7 + (-8) + (-9) + (-10); -34 |
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Hint |
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7. |
What is the fifth term of a geometric sequence if a1 = 7 and r = 0.2? |
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A. |
1.4 |
B. |
0.0112 |
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C. |
0.28 |
D. |
5.6 |
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Hint |
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8. |
An article in the Gazette reported that about 1 out of 4 cars sold in 1980 was red. Suppose a salesperson sells 6 cars per week. What is the probability that he or she sells at least 4 red cars in a week? |
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A. |
or about 0.0330 |
B. |
or about 0.1318 |
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C. |
or about 0.9624 |
D. |
or about 0.0376 |
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Hint |
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9. |
Find the area of XYZ. Round to the nearest tenth. |
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A. |
78.2 units2 |
B. |
81.8 units2 |
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C. |
67.3 units2 |
D. |
96.2 units2 |
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Hint |
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10. |
Determine the period of the function shown below. |
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A. |
 |
B. |
1 |
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C. |
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D. |
-1 |
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Hint |
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11. |
Name the property of equality illustrated by the following statement. If n – 3 = 5 + 4, then n – 3 = 9. |
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A. |
Symmetric |
B. |
Reflexive |
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C. |
Transitive |
D. |
Substitution |
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Hint |
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12. |
Solve the equation  |
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A. |
20 |
B. |
9 |
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C. |
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D. |
-1 |
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Hint |
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13. |
The Waxmans just opened a carpet store. Their startup costs were $5000, and their cost of carpet is $8 per square yard. How many square yards of carpet do they need to sell in order to break even if they sell the carpet for $18 per square yard? |
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A. |
278 square yards |
B. |
192 square yards |
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C. |
50 square yards |
D. |
500 square yards |
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Hint |
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14. |
 |
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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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15. |
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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16. |
Which of the following graphs best represents the function y = –x2 + 7x + 8? |
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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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17. |
What is the inverse of the relation (3, -1), (2, 5), (-4, -4)? |
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A. |
(-1, 3), (5, 2), (-4, -4) |
B. |
(-1, 3), (5, 2), (4, 4) |
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C. |
(-3, -1), (-2, 5), (4, -4) |
D. |
(1, -3), (-5, -2), (4, 4) |
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Hint |
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18. |
What is the equation of the hyperbola whose vertices are at (-4, 1) and (2, 1), and whose conjugate axis is of length 4 units? |
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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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19. |
In a certain job, the function represents the amount of hours worked x in relation to the amount of stress f(x) felt by the workers. For what values of x does this graph have meaning? |
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A. |
for  |
B. |
for and x < 40 |
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C. |
for all values of x |
D. |
for and x > 40, because stress is a non-negative quantity |
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Hint |
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20. |
Solve
 |
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A. |
225° |
B. |
135° |
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C. |
45° |
D. |
315° |
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Hint |
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