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1. |
What is the value of the determinant? |
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A. |
-12 |
B. |
12 |
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C. |
-8 |
D. |
-3 |
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Hint |
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2. |
Use Cramer's rule to find the value of x in the system of equations. 
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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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3. |
Which element is in row 3, column 1? |
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A. |
-1 |
B. |
4 |
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C. |
9 |
D. |
6 |
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Hint |
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4. |
Find  |
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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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5. |
Find 3 |
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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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6. |
Find  |
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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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7. |
Find the determinant of  |
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A. |
-11 |
B. |
0 |
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C. |
-16 |
D. |
-21 |
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Hint |
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8. |
Solve  |
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A. |
(–2, 1) |
B. |
(1, –2) |
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C. |
(2, –1) |
D. |
(–1, 2) |
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Hint |
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9. |
Find the product of  |
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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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10. |
What translation matrix should be used to translate a figure with five vertices up 3 units and right 2 units? |
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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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11. |
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'(-4, -3),B'(3, 1),C'(7, -3),D'(-5, 2) |
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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'(-3, -4),B'(1, 3),C'(-3, 7),D'(2, -5) |
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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 = $5.50
item B = $3 |
B. |
item A = $2.10
item B = $1.14 |
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C. |
item A = $3
item B = $5.50 |
D. |
item A = $1.14
item B = $2.10 |
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Hint |
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13. |
In order for a matrix to have an inverse, what must be true? |
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A. |
ad – bc = 0 |
B. |
ad – bc  1 |
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C. |
ad – bc = 1 |
D. |
ad – bc 0 |
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Hint |
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14. |
What is the 4 × 4 identity matrix? |
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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. |
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 = 9 pointsrun = 5 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 = 7 pointsrun = 14 points |
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Hint |
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16. |
Solve the system of equations 7x – 14y =4, 3x – 6y =17. |
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A. |
(2, 1) |
B. |
infinite solutions |
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C. |
(3, –2) |
D. |
no unique solution |
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Hint |
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