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1. |
State the number of solutions to the system of equations graphed below. |
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A. |
0 |
B. |
1 |
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C. |
infinitely many |
D. |
2 |
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Hint |
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2. |
Solve the system of equations by graphing. 
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A. |
infinitely many solutions |
B. |
no solution |
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C. |
(0, 3) |
D. |
(-1, 7) |
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Hint |
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3. |
Use the substitution method to solve m - n = 7 and 3m + 2n = 6. |
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A. |
(-5, 2) |
B. |
(-3, -10) |
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C. |
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D. |
(4, -3) |
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Hint |
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4. |
What is the solution of the system of inequalities? 
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A. |
 |
B. |
region 1 |
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C. |
region 3 |
D. |
region 2 |
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Hint |
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5. |
Which coordinates are not of the vertices of the feasible region for the system of inequalities? 
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A. |
(0, 6) |
B. |
(5, 4) |
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C. |
(5, 1) |
D. |
(2, 4) |
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Hint |
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6. |
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. |
 |
B. |
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C. |
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D. |
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Hint |
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7. |
Solve the system of equations 3x – 5y = 4
–2x + 4y = 3. |
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A. |
 |
B. |
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C. |
 |
D. |
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Hint |
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8. |
Find the coordinates of the vertices of the figure formed by  |
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A. |
(–4, 0), (5, 4), (5, 2) |
B. |
(–3, 0), (3, 4), (5, 2) |
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C. |
(–4, 0), (3, 4), (5, 2) |
D. |
(–3, 0), (5, 4 ), (5, 2) |
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Hint |
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9. |
Solve the system 4y – 6x + 8z = 13, 10y – 15x + 20z = 6, y – 5x + 2z = 5. |
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A. |
infinite solutions |
B. |
no solution |
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C. |
(-3, 1, 7) |
D. |
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Hint |
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10. |
What is true about a system of equations in three variables that has 1 solution? |
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A. |
planes intersect in the same plane |
B. |
planes have no points in common |
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C. |
planes intersect in one point |
D. |
planes intersect in one line |
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Hint |
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