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1. |
Solve the system of equations x = 4 and 3x - 4y = 12 by graphing. |
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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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2. |
Solve the system of equations by elimination.
2x + y - z = 3
x + y + z = 5
x - 2y + z = 2
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A. |
(2, 2, 1) |
B. |
(2, 1, 2) |
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C. |
(1, 1, 2) |
D. |
(1, 2, 1) |
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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. |
Triangle ABC has vertices A(7, 2), B(3, -1), and C(1, 4). Find the image of the triangle after a reflection over the x-axis. |
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A. |
A'(7, -2), B'(3, 1), C'(1, -4) |
B. |
A'(7, -2), B'(-1, 3),
C'(-1, -4) |
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C. |
A'(-7, -2), B'(-3, 1),
C'(-1, -4) |
D. |
A'(2, 7), B'(-1, 3), C'(4, 1) |
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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'(-2, -1), B'(-3, -5),
C'(-6, -2) |
D. |
A'(1, -2), B'(5, -3), C'(2, -6) |
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Hint |
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6. |
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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7. |
The graph of the system of inequalities is shown below. Name the coordinates of the vertices of the polygonal set. |
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A. |
(0, 0), (2, 0), and (2, 6) |
B. |
(-1, 1), (-1, 4), and (2, 1) |
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C. |
(1, -4), (3, 0), and (0, 1) |
D. |
(1, -1), (-1, 3), and (2, 1) |
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Hint |
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8. |
The profit for each unit of lumber is $40 and the profit for each unit of plywood is $60. Write a profit function P(x, y) if x = the number of units of lumber and y = the number of units of plywood. |
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A. |
P(x, y) = 40x - 60y |
B. |
P(x, y) = 60x + 40y |
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C. |
P(x, y) = 60x - 40y |
D. |
P(x, y) = 40x + 60y |
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Hint |
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9. |
Which of the following describes the system of equations x - 3y + 2 = 0 and
2x - 6y + 4 = 0? |
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A. |
Consistent and dependent |
B. |
Consistent and independent |
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C. |
none of these |
D. |
Inconsistent |
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Hint |
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10. |
If you are solving this system of equations by elimination, which of the following is the best choice for the first step? 2x + 3y - z = 4
-x + y + 2z = 3
3x + y + z = 1 |
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A. |
Method II |
B. |
neither method is correct. |
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C. |
Method I |
D. |
both methods are correct |
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Hint |
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11. |
Given A = [3 -2], C =  , find AC. |
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A. |
impossible |
B. |
[14 3 13] |
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C. |
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D. |
[-10 -4 -2] |
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Hint |
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12. |
Find the inverse of  . |
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A. |
does not exist |
B. |
0 |
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C. |
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D. |
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Hint |
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13. |
Find the inverse of  . |
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A. |
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B. |
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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 that earns 3% interest. He wants no less than $5,000 in the account with 7% interest. Write a system of inequalities to represent this situation. |
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A. |
x  5000
y 3000
x + y  10,000 |
B. |
x 3000
y 5000
x + y 10,000 |
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C. |
x 3000
y 5000
x + y 10,000 |
D. |
x 3000
y 5000
x + y 10,000 |
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Hint |
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