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1. |
Solve the system of equations by elimination.
2x + y - z = 3
x + y + z = 5
x - 2y + z = 2
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A. |
(1, 2, 1) |
B. |
(2, 2, 1) |
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C. |
(2, 1, 2) |
D. |
(1, 1, 2) |
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Hint |
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2. |
Find the values of x and y for which the matrix equation
 is true. |
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A. |
x = -3, y = -1 |
B. |
x = 1, y = -3 |
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C. |
x = -3, y = 1 |
D. |
x = -1, y = -3 |
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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. |
Suppose the triangle ABC with vertices A(1, 2), B(4, 3) and C(-1, 5) is translated 2 units right and 3 units down. Use the translation matrix to find the vertices for A'B'C', the translated image of the triangle. |
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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. |
Suppose a figure is animated to spin around a certain point. If the image has key points as A(2, 1), B(3, 5) and C(6, 2), and the rotation is about the origin, find the location of these points at a 270° counterclockwise rotation. |
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A. |
A'(-1, 2), B'(-5, 3), C'(-2, 6) |
B. |
A'(1, -2), B'(-5, 3), C'(-2, 6) |
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C. |
A'(1, -2), B'(5, -3), C'(2, -6) |
D. |
A'(-2, -1), B'(-3, -5),
C'(-6, -2) |
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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. |
In shipping, an oversize package is one in which the sum of the length and girth exceeds 100 inches, and also one whose length alone exceeds 70 inches. Which of the following best represents this situation? |
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A. |
l + g > 100, l > 70 |
B. |
l + g > 100, g < 70 |
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C. |
l + g < 100, g < 70 |
D. |
l + g > 100, l < 70 |
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Hint |
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8. |
Which of the following is a graph of the inequalities
l + g > 100 and l > 70? |
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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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9. |
Use the function P(x, y) = 40x + 60y to determine how many of each item should be produced in order to maximize profit. |
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A. |
(100, 800) |
B. |
(300, 500) |
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C. |
(500, 400) |
D. |
(100, 400) |
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Hint |
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10. |
Choose the best method to solve the system of equations 4x + y = 6
and 2x - y = 10. |
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A. |
Eliminate y |
B. |
Eliminate x |
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C. |
Graphing |
D. |
Substitution |
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Hint |
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11. |
Choose the best method to solve the system of equations x + y = 2
and y = 3x - 4. |
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A. |
Eliminate y |
B. |
Graphing |
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C. |
Eliminate x |
D. |
Substitution |
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Hint |
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12. |
Solve the system of 3 equations by substitution. x = 3y + 2z
2x + 3y + 2z = 3
-x + y - z = 6 |
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A. |
no solution |
B. |
(8, 4, -2) |
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C. |
infinite solutions |
D. |
(1, 3, -4) |
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Hint |
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13. |
Find the inverse of  . |
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A. |
0 |
B. |
does not exist |
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C. |
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D. |
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Hint |
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14. |
Sam has $10,000 to deposit in two different savings accounts. He wants at least $3,000 in the account with 3% interest. He wants no less than $5,000 in the account with 7% interest.Graph this system of inequalities. |
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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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