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1. |
Find the value of  |
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A. |
0 |
B. |
-2 |
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C. |
2 |
D. |
14 |
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Hint |
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2. |
Use Cramer's rule to solve the system of equations. 

|
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A. |
(0.011, 0.0055) |
B. |
(0.2, 0.4) |
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C. |
(-0.4, -0.2) |
D. |
(0.4, 0.2) |
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Hint |
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3. |
Which element is in row 3, column 1? |
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 |
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A. |
-1 |
B. |
9 |
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C. |
6 |
D. |
4 |
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Hint |
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4. |
Find  |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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5. |
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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6. |
Which product is not defined? |
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A. |
 |
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B. |
 |
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C. |
[16 12 5] |
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D. |
[11 4 -3] |
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Hint |
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7. |
For the determinant , which is the minor of -4? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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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. |
Write a matrix for the system of equations. 

|
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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10. |
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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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'(3, 4),B'(-1, -3),C'(3, -7),D'(-2, 5) |
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B. |
A'(-4, -3),B'(3, 1),C'(7, -3),D'(-5, 2) |
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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. |
Find the coordinates of the vertices of the image of a triangle FGH with F(-4, 2), G(-3, -3), H(3,4) after it is rotated 270° counterclockwise about the origin. |
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A. |
F'(2, -4), G'(-3, -3),H'(4, 3) |
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B. |
F'(-2, 4), G'(3, 3),H'(-4, -3) |
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C. |
F'(4, 2), G'(3, -3),H'(-3, 4) |
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D. |
F'(2, 4), G'(-3, 3),H'(4, -3) |
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Hint |
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13. |
Evaluate  |
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A. |
111 |
B. |
–51 |
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C. |
37 |
D. |
–654 |
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Hint |
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14. |
Two sides of an angle are contained in lines whose equations are 6x + 4y = 15 and 7x – 9y = 3. Find the coordinates of the vertex of the angle. Round to the nearest hundredth. |
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A. |
(1.79, 1.06) |
B. |
(–147, –87) |
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|
C. |
(147, 87) |
D. |
(–1.79, 1.06) |
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Hint |
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15. |
What is the 4 × 4 identity matrix? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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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. |
(3, –2) |
B. |
infinite solutions |
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C. |
(2, 1) |
D. |
no unique solution |
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Hint |
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