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1. |
Solve the system of equations by graphing. 

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A. |
(-1, 7) |
B. |
no solution |
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C. |
infinitely many solutions |
D. |
(0, 3) |
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Hint |
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2. |
Solve the system of equations. 


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A. |
(10, -1, 11) |
B. |
(7, -2, 1) |
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C. |
(1, -4, 6) |
D. |
(13, 0, -4) |
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Hint |
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3. |
Solve . |
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A. |
(-2, -8) |
B. |
(2, 8) |
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C. |
 |
D. |
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Hint |
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4. |
Simplify i17. |
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A. |
i |
B. |
-1 |
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C. |
1 |
D. |
-i |
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Hint |
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5. |
Solve 3y2 + 48 = 0. |
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A. |
 |
B. |
-4 |
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C. |
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D. |
4 |
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Hint |
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6. |
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. |
4.8 s |
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C. |
3.2 s |
D. |
-0.1 s |
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Hint |
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7. |
Solve 9t2 - 15t + 4 0. |
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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. |
Factor x2 – 16. |
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A. |
(x – 4)(x – 4) |
B. |
(x + 2)(x – 8) |
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C. |
(x + 4)(x – 4) |
D. |
(x + 4)(x + 4) |
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Hint |
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9. |
Factor 4y2 – 9. |
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A. |
prime |
B. |
(2y + 3)(2y – 3) |
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C. |
(2y – 3)(2y – 3) |
D. |
(2y + 3)(2y + 3) |
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Hint |
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10. |
Factor x2 - y4 |
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A. |
(x - y2)(x - y2) |
B. |
(x + y)(x – y) |
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C. |
(x - y2)(x + y2) |
D. |
(x + y2)(x + y)(x – y) |
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Hint |
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11. |
When the equation is written in standard form, what is the value of B? |
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A. |
25 |
B. |
 |
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C. |
-25 |
D. |
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Hint |
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12. |
For which scatter plot will a good line of fit have a negative y-intercept? |
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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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13. |
Which of the following systems of equations is inconsistent? |
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A. |
4y – x = 12 3y – 2x = 1 |
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B. |
3y + 2x = 13 6y + 4x = 3 |
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C. |
y = 2x – 3 y = –3x + 4 |
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D. |
y = 7x – 2 y = –2x – 5 |
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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. |
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C. |
(-3, 1, 7) |
D. |
infinite solutions |
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Hint |
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15. |
At a firm, there are three workers that are supposed to work a combined 110 hours per week. Worker 1 is supposed to work 5 hours more than worker 2, and worker 2 is supposed to work 15 hours more than worker 3. How long should each one work? |
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A. |
worker 1: 45worker 2: 35worker 3: 30 |
B. |
worker 1: 42.5worker 2: 37.5worker 3: 30 |
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C. |
worker 1: 45worker 2: 40worker 3: 25 |
D. |
worker 1: 40worker 2: 45worker 3: 25 |
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Hint |
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16. |
Which of the following is an example of a column matrix? |
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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. |
Which of the following cannot be true concerning Cramer's Rule for two variables? |
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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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18. |
Vince and Brian each need two kinds of items at the store. Vince bought 10 of item A and 14 of item B, and spent $97. Brian bought 8 of item A and 25 of item B, and spent $119. How much did each item cost? |
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A. |
item A = $2.10 item B = $1.14 |
B. |
item A = $3 item B = $5.50 |
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C. |
item A = $1.14 item B = $2.10 |
D. |
item A = $5.50 item B = $3 |
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Hint |
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19. |
Determine whether the pair of matrices are inverses. |
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A. |
yes, because each entry in the second matrix is the reciprocal of its corresponding entry in the first matrix |
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B. |
no, because A · B I |
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C. |
no, because fractions cannot be a part of an inverse |
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D. |
yes, because A · B = I |
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Hint |
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20. |
Solve x2 + 2x+ 3 = 0 by completing the square. |
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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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