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1. |
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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Hint |
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2. |
Choose the matrix that represents the ordered triple (5, -7, 1). |
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A. |
[1 -7 5] |
B. |
[5 -7 1] |
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C. |
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D. |
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Hint |
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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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4. |
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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5. |
Which product is not defined? |
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A. |
 [11 4 -3] |
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B. |
[16 12 5] |
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C. |
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D. |
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Hint |
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6. |
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, -3), B'(1, 1) |
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C. |
A'(-1, 1), B'(1, -3) |
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D. |
A'(1, 1), B'(-1, -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. |
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B. |
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C. |
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D. |
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Hint |
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8. |
What is the first step in solving the matrix equation
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A. |
Divide each side of the matrix equation by  |
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B. |
Multiply each side of the matrix equation by |
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C. |
Find the inverse of |
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D. |
Multiply each side of the matrix equation by the identity matrix. |
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Hint |
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9. |
The matrix  is an example of which of the following matrices? |
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A. |
all of the above |
B. |
square matrix |
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C. |
column matrix |
D. |
row matrix |
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Hint |
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10. |
Which of the following properties does not hold for matrices? |
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A. |
left distributive property |
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B. |
associative property of multiplication |
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C. |
commutative property of multiplication |
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D. |
right distributive property |
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Hint |
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11. |
What are the coordinates of the vertices of the image of rectangle HJKL with H(4, 1), J(-3, -2), K(2, -6), and L(-4, 5) after a reflection across the x-axis? |
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A. |
H'(-4, 1), J'(3, -2), K'(-2, -6), L>'(4, 5) |
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B. |
H'(-4, –1), J'(3, 2), K'(-2, 6), L'(4, -5) |
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C. |
H'(4, –1), J'(-3, 2), K'(2, 6), L'(-4, -5) |
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D. |
H'(-4, –1), J'(-3, -2), K'(-2, -6), L'(-4, -5) |
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Hint |
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12. |
Evaluate  |
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A. |
37 |
B. |
–51 |
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C. |
–654 |
D. |
111 |
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Hint |
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13. |
Solve 2.4x + 1.7y = 8.2, 3.8x – 0.8y = 5.3. Round to the nearest hundredth. |
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A. |
(1.86, 2.20) |
B. |
(–1.86, –2.20) |
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C. |
(1.86, –2.20) |
D. |
(–1.86, 2.20) |
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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 |
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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. |
yes, because A · B = I |
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Hint |
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15. |
Find the inverse of  if it exists. |
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A. |
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B. |
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C. |
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D. |
does not exist, since ad – bc = 0 |
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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 = 9 pointsrun = 5 points |
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C. |
pass = 5 pointsrun = 23 points |
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D. |
pass = 5 pointsrun = 9 points |
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Hint |
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