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1. |
Find the value of  |
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A. |
14 |
B. |
2 |
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C. |
0 |
D. |
-2 |
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Hint |
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2. |
Which element is in row 3, column 1? |
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A. |
6 |
B. |
4 |
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C. |
-1 |
D. |
9 |
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Hint |
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3. |
Find A - B if  and  |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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4. |
Find 3 |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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5. |
Triangle PQR with vertices P(-8, 9), Q(-3, -1), and R(2, 5) is translated so that P' is at (-12, 0). Find the translation matrix. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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6. |
Which product is not defined? |
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A. |
[16 12 5] |
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B. |
 |
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C. |
 |
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D. |
 [11 4 -3] |
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Hint |
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7. |
The product  gives the coordinates of two points on line AB that has been rotated 90° counterclockwise about the origin. Name the coordinates of A' and B'. |
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A. |
A'(-1, -3), B'(1, 1) |
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B. |
A'(-1, 1), B'(1, -3) |
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C. |
A'(1, -3), B'(1, 1) |
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D. |
A'(1, 1), B'(-1, -3) |
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Hint |
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8. |
Find the inverse of  |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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9. |
Solve  using inverse matrices. |
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A. |
(-4, 0) |
B. |
(-4, 4) |
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C. |
(4, -4) |
D. |
(4, 4) |
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Hint |
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10. |
What are the dimensions of matrix A if  |
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A. |
3 × 3 |
B. |
3 × 4 |
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C. |
4 × 4 |
D. |
4 × 3 |
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Hint |
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11. |
Evaluate  |
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A. |
38 |
B. |
–128 |
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C. |
128 |
D. |
–38 |
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Hint |
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12. |
Find the area of a triangle whose vertices are located at (-3, 2), (0, -5), and (4, 4). |
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A. |
 |
B. |
 |
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C. |
1 |
D. |
55 |
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Hint |
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13. |
Solve the system 3x + 2y – z = –1, –2x + –3y + 2z = 5, 4x – y + 3z = 11. |
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A. |
(1, 4, –3) |
B. |
(2, –1, 2) |
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C. |
(1, –1, 2) |
D. |
(2, 4, –2) |
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Hint |
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14. |
Which method of finding solutions would work best to find the solutions to the system 12.4x – 3.66y = 12.19, 3.9x + 6.17y = 19.28, and why? |
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A. |
elimination, because Cramer's Rule doesn't apply to this problem |
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B. |
Cramer's Rule, because none of the other methods will correctly solve the problem |
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C. |
Cramer's Rule, because there are fewer calculations. |
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D. |
elimination, because 6.17 is a factor of 3.66 |
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Hint |
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15. |
Determine whether the pair of matrices  are inverses. |
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A. |
yes, because A · B = I |
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B. |
no, because fractions cannot be a part of an inverse |
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C. |
yes, because each entry in the second matrix is the reciprocal of its corresponding entry in the first matrix |
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D. |
no, because A · B  I |
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Hint |
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16. |
In a sport similar to football, there are two ways to score: by the run or by the pass. Team A scored 244 points, while Team B scored 273 points. Team A scored by the pass 21 times, and by the run 11 times. Team B scored by the pass 27 times, and by the run 6 times. How many points is each score worth? |
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A. |
pass = 7 pointsrun = 14 points |
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B. |
pass = 5 pointsrun = 23 points |
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C. |
pass = 5 pointsrun = 9 points |
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D. |
pass = 9 pointsrun = 5 points |
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Hint |
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