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1. |
Find  [6,3,-1]. |
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A. |
[3 3 -1] |
B. |
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C. |
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D. |
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Hint |
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2. |
Solve  . |
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A. |
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B. |
(-2, -8) |
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C. |
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D. |
(2, 8) |
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Hint |
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3. |
Triangle FGH has vertices F(12, 6), G(8, 1), and H(-4, 4). If the triangle is reduced so that the resulting perimeter is half the original perimeter, what are the coordinates of F'? |
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A. |
(4, 2) |
B. |
(6, 6) |
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C. |
(6, 3) |
D. |
(-2, -2) |
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Hint |
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4. |
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A. |
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B. |
[10 37] |
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C. |
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D. |
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Hint |
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5. |
Determine which matrix is the 3 × 3 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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6. |
Find the inverse 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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7. |
What is the first step in solving the matrix equation
 |
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A. |
Multiply each side of the matrix equation by  |
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B. |
Multiply each side of the matrix equation by the identity matrix. |
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C. |
Find the inverse of |
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D. |
Divide each side of the matrix equation by |
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Hint |
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8. |
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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9. |
What are the dimensions of matrix A if  |
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A. |
4 × 3 |
B. |
3 × 3 |
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C. |
3 × 4 |
D. |
4 × 4 |
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Hint |
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10. |
Given that   and  use the fact that  to find AB + AC. |
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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. |
Suppose  has vertices A(3, 4), B(-2, 1) and C(2, –3). Dilate so that its perimeter is one-fourth the original perimeter. What are the coordinates of the vertices 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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12. |
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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13. |
Find the value of the determinant of  |
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A. |
2 |
B. |
6 |
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C. |
–32 |
D. |
64 |
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Hint |
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14. |
Evaluate  |
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A. |
–38 |
B. |
–128 |
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C. |
38 |
D. |
128 |
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Hint |
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15. |
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 = $1.14
item B = $2.10 |
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C. |
item A = $2.10
item B = $1.14 |
D. |
item A = $3
item B = $5.50 |
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Hint |
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16. |
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. |
Cramer's Rule, because none of the other methods will correctly solve the problem |
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B. |
elimination, because Cramer's Rule doesn't apply to this problem |
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C. |
elimination, because 6.17 is a factor of 3.66 |
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D. |
Cramer's Rule, because there are fewer calculations. |
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Hint |
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