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1. |
Solve the system of equations y = 0.5x and 4y = x - 2 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. |
If you solve the following system of equations by elimination, which of the following is the best choice for the first step?
2x + y - z = 3
x + y + z = 5
x - 2y + z = 2
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A. |
Both methods will work. |
B. |
Neither method will work. |
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C. |
Add the first and second equations to eliminate the z variable. |
D. |
Subtract the second and third equation to eliminate the z variable. |
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Hint |
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3. |
In 1999 Bob scored 824 points as a college basketball player by hitting 372 of his attempts. If he made 60% of his 200 3-point field goal attempts, how many 1-, 2-, and 3-point field goal baskets did he make? |
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A. |
(40, 212, 120) |
B. |
(120, 40, 212) |
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C. |
(40, 120, 212) |
D. |
(212, 40, 120) |
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Hint |
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4. |
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A. |
The product doesn't exist. |
B. |
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C. |
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D. |
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Hint |
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5. |
Find the value of  . |
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A. |
17 |
B. |
3 |
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C. |
-17 |
D. |
-3 |
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Hint |
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6. |
Find the maximum value of f(x, y) = 2x + y - 2 for the polygonal convex set determined by the system of inequalities. |
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A. |
12 |
B. |
14 |
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C. |
18 |
D. |
6 |
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Hint |
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7. |
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, 400) |
B. |
(300, 500) |
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C. |
(100, 800) |
D. |
(500, 400) |
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Hint |
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8. |
Choose the best method to solve the system of equations x + y = 2
and y = 3x - 4. |
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A. |
Eliminate x |
B. |
Substitution |
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C. |
Eliminate y |
D. |
Graphing |
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Hint |
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9. |
Find the values of x and y for which the matrix equation is true. |
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A. |
x = 3, y = 2 |
B. |
x = 4, y = 2 |
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C. |
x = 2, y = 3 |
D. |
x = 1, y = 0 |
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Hint |
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10. |
A quadrilateral with vertices A(-2,-3), B(-4,2), C(-2,4) and D(0,2) is translated 5 units to the right and 3 units down. What are the new coordinates? |
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A. |
A(3,0), B(-1,5), C(3,7), D(5,5) |
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B. |
A(3,-6), B(1,-1), C(3,7), D(5,5) |
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C. |
A(-5,2), B(-7, 7), C(-5, 9), D(-3, 7) |
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D. |
A(3,-6), B(1,-1), C(3,1), D(5,-1) |
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Hint |
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11. |
The quadrilateral with vertices A(-1,5), B(2,7), C(4,5) and D(3,3) is reflected over the line y = x . Find the image of the quadrilateral after the reflection. |
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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 inverse of  . |
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A. |
0 |
B. |
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C. |
does not exist |
D. |
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Hint |
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13. |
Solve the system of inequalities by graphing.
x + y  4
2x - y < 4
y  0 |
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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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14. |
Find the maximum value of f(x, y) = 2x + y - 4 for the system of inequalities:
y -3x + 1
y  x - 4
x 0
y 0 |
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A. |
unbounded |
B. |
infeasible |
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C. |
2 |
D. |
alternate optimal solutions |
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Hint |
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