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1. |
Use Cramer's rule to solve the system of equations. 
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A. |
(-0.4, -0.2) |
B. |
(0.011, 0.0055) |
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C. |
(0.2, 0.4) |
D. |
(0.4, 0.2) |
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Hint |
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2. |
Solve [3x 8y] = [-12 1] for x and y. |
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A. |
x = -4
y =  |
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B. |
x = 4
y = 1 |
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C. |
x = -12
y = 1 |
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D. |
x = -4
y = 8 |
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Hint |
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3. |
Find  |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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4. |
Which product is not defined? |
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A. |
 [11 4 -3] |
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B. |
 |
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C. |
 |
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D. |
[16 12 5] |
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Hint |
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5. |
Find the dimensions of A6 × 3 · B3 × 1. |
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A. |
3 × 3 |
B. |
6 × 1 |
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C. |
3 × 1 |
D. |
6 × 3 |
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Hint |
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6. |
The matrix  is an example of which of the following matrices? |
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A. |
all of the above |
B. |
row matrix |
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C. |
column matrix |
D. |
square matrix |
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Hint |
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7. |
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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8. |
Which of the following is the correct rotation matrix for a rotation of 180°counterclockwise about the origin? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
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Hint |
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9. |
Find the coordinates of the vertices of the image of a rectangle ABCD with A(4, -3), B(-3, 1), C(-7, -3), and D(5, 2) after a reflection across the line y = x. |
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A. |
A'(-3, 4),B'(1, -3),C'(-3, -7),D'(2, 5) |
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B. |
A'(3, 4),B'(-1, -3),C'(3, -7),D'(-2, 5) |
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C. |
A'(-3, -4),B'(1, 3),C'(-3, 7),D'(2, -5) |
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D. |
A'(-4, -3),B'(3, 1),C'(7, -3),D'(-5, 2) |
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Hint |
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10. |
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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11. |
Find the area of a triangle whose vertices are located at (-3, 2), (0, -5), and (4, 4). |
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A. |
1 |
B. |
55 |
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C. |
 |
D. |
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Hint |
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12. |
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 = $1.14
item B = $2.10 |
B. |
item A = $2.10
item B = $1.14 |
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C. |
item A = $3
item B = $5.50 |
D. |
item A = $5.50
item B = $3 |
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Hint |
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13. |
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. |
yes, because A · B = I |
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C. |
no, because fractions cannot be a part of an inverse |
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D. |
no, because A · B  I |
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Hint |
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14. |
Determine whether the pair of matrices  are inverses. |
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A. |
no, because A · B I |
B. |
yes, because each entry in the second matrix is the reciprocal of its corresponding entry in the first matrix. |
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C. |
yes, because A · B = I. |
D. |
no, because fractions cannot be a part of an inverse |
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Hint |
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15. |
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 = 5 pointsrun = 9 points |
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B. |
pass = 9 pointsrun = 5 points |
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C. |
pass = 5 pointsrun = 23 points |
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D. |
pass = 7 pointsrun = 14 points |
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Hint |
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16. |
Suppose a matrix equation of a system of equations does not have a unique solution. What cannot be true? |
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A. |
ad – bc ? 0 |
B. |
 |
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C. |
 |
D. |
 is undefined |
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Hint |
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