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1. |
What is true about the system and  |
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A. |
The system is inconsistent. |
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B. |
The system has infinitely many solutions. |
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C. |
The system is consistent and independent. |
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D. |
The system is consistent and dependent. |
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Hint |
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2. |
Solve the system of equations by using substitution. 

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A. |
(4, 9) |
B. |
(1, 3) |
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C. |
(3, 7) |
D. |
(5, 11) |
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Hint |
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3. |
Solve the system of equations by using the elimination method. 

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A. |
(2, 3) |
B. |
(4, 2) |
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C. |
(34, -13) |
D. |
(12, -2) |
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Hint |
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4. |
Solve the system of inequalities by graphing. 


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A. |
 |
B. |
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C. |
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D. |
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Hint |
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5. |
Which is not a point at which a maximum or minimum value of a function could occur for the feasible region? |
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A. |
(-3, 6) |
B. |
(-3, 0) |
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C. |
(0, 3) |
D. |
(1, 5) |
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Hint |
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6. |
A baker earns 15¢ profit per glazed doughnut g, and 40¢ profit per jelly doughnut j. If a customer wants to buy no more than a dozen doughnuts and wants to try at least one of each kind, what is the maximum profit the baker can earn? |
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A. |
$1.80 |
B. |
$3.30 |
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C. |
$4.55 |
D. |
$4.80 |
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Hint |
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7. |
A graph of a system of three linear equations in three variables is shown below. How many solutions does the system have? |
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A. |
infinite number |
B. |
0 |
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C. |
1 |
D. |
2 |
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Hint |
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8. |
The Waxmans just opened a carpet store. Their startup costs were $5000, and their cost of carpet is $8 per square yard. How many square yards of carpet do they need to sell in order to break even if they sell the carpet for $18 per square yard? |
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A. |
278 square yards |
B. |
500 square yards |
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C. |
192 square yards |
D. |
50 square yards |
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Hint |
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9. |
Which of the following is not a vertex of the figure formed by  |
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A. |
(2, –1) |
B. |
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C. |
(6, 4) |
D. |
(0, 2) |
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Hint |
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10. |
What are the solutions to the system y + 2x – 5z = 4, –2y – 4x + 10z = 8, 3y + x – 3z = 5? |
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A. |
(2, 2, 1) |
B. |
infinite |
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C. |
(2, 2, –2) |
D. |
no solution |
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Hint |
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