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1. |
State the solution of the system of equations graphed below. |
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A. |
(3, -1) |
B. |
(3, 1) |
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C. |
(-1, 3) |
D. |
(0, 3) |
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Hint |
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2. |
What is the first step in solving the system of equations using the elimination method? 
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A. |
Multiply the second equation by 2. |
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B. |
Solve the first equation for x. |
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C. |
Add the equations. |
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D. |
Subtract the second equation from the first equation. |
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Hint |
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3. |
What is the solution of the system of inequalities? 
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A. |
region 4 |
B. |
region 2 |
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C. |
region 3 |
D. |
region 1 |
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Hint |
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4. |
Josh has 40 minutes to complete a government exam. There are 15 multiple-choice questions worth 3 points each. There are also 5 short-answer questions worth 11 points each. It takes about 2 minutes for Josh to answer the multiple-choice questions m and about 8 minutes to complete the short-answer questions s. The system of inequalities that represents this problem is graphed below. Which ordered pair is not a vertex of the feasible region? |
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A. |
(15, 0) |
B. |
(0, 5) |
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C. |
(20, 0) |
D. |
(0, 0) |
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Hint |
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5. |
Selena has 31 days to complete her quilt for the county fair. The blue squares in the quilt can be sewn at a rate of 4 squares per day, and the white squares at a rate of 7 squares per day. The quilt can have up to 96 squares total. The blue fabric b costs about $0.80 per square and the white fabric w costs about $1.20 per square. Selena wants to keep costs at a minimum. Write an inequality that expresses the total number of squares to be sewn. |
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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. |
Solve the system of equations. 
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A. |
(1, 1, 2) |
B. |
(0, -2, 7) |
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C. |
no solution |
D. |
infinite number of solutions |
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Hint |
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7. |
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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8. |
Solve the system of equations 3x – 5y = 4
–2x + 4y = 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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9. |
Which of the following is not a vertex of the figure formed by  |
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A. |
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B. |
(0, 2) |
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C. |
(6, 4) |
D. |
(2, –1) |
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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, –2) |
B. |
no solution |
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C. |
(2, 2, 1) |
D. |
infinite |
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Hint |
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