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1. |
The cost of producing an item is $5 per item plus an initial cost of $2000. The selling price is $10 per item. Find the break-even point. |
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A. |
400 items |
B. |
4000 items |
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C. |
450 items |
D. |
4500 items |
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Hint |
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2. |
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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3. |
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. |
Add the first and second equations to eliminate the z variable. |
B. |
Neither method will work. |
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C. |
Both methods will work. |
D. |
Subtract the second and third equation to eliminate the z variable. |
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Hint |
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4. |
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A. |
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B. |
The product doesn't exist. |
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C. |
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D. |
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Hint |
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5. |
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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6. |
A triangle ABC has vertices A(3, -1), B(4, -2), and C(7, 1). Find the coordinates of the dilated triangle for a scale factor of 3. |
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A. |
A'(-3, 9), B'(-6, 12),
C'(3, 21) |
B. |
A'(9, -3), B'(12, -6),
C'(21, 3) |
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C. |
A'(21, 3), B'(12, -6),
C'(-9, -3) |
D. |
A,/i>'(12, -6), B'(21, 3),
C'(-9, -3) |
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Hint |
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7. |
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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8. |
Solve the systems of equations by using matrix equations. |
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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. |
Solve the system of three equations by elimination: 5x + 2y - 3z = 10
2x - 2y + 4z = 6
x - y + 2z = 3
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A. |
(3, 4, 2) |
B. |
infinite solutions |
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C. |
no solution |
D. |
(2, -5, 3) |
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Hint |
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10. |
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A. |
impossible |
B. |
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C. |
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D. |
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Hint |
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11. |
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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12. |
Find the minimum value of f(x, y) =  x - 4y for the system of inequalities.
2x + y 3
2x + y -2
y 4
x < 1 |
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A. |
-3 |
B. |
-17 |
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C. |
16 |
D. |
-16 |
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Hint |
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13. |
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. |
2 |
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C. |
alternate optimal solutions |
D. |
infeasible |
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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. |
2 |
B. |
unbounded |
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C. |
infeasible |
D. |
alternate optimal solutions |
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Hint |
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