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1. |
Graph the system of equations to determine whether it has no solution, many solutions, or one solution. If the system has one solution, name it. 3x - 2y = -1 2x + y = 4 |
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A. |
one solution at (1, 2) |
B. |
no solution |
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C. |
one solution at (2, 1) |
D. |
infinitely many solutions |
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Hint |
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2. |
Graph the system of equations to determine whether it has no solution, infinitely many solutions, or one solution. If the system has one solution, name it.

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A. |
infinitely many solutions |
B. |
one solution at  |
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C. |
no solution |
D. |
one solution at  |
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Hint |
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3. |
Use substitution to solve the system of equations. 5x + 5y = -30 2x - y = 15 |
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A. |
no solution |
B. |
(21, 27) |
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C. |
infinitely many solutions |
D. |
(3, -9) |
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Hint |
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4. |
Students from the local high school are selling tickets to the town's annual carnival. Adult admission is $5.00 and child admission is $2.50. Two hours after the carnival opened its first day, 440 tickets had been sold totaling $1900. How many adults and how many children entered the carnival during the first two hours it was open? |
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A. |
220 adults, 220 children |
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B. |
320 adults, 120 children |
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C. |
380 adults, 760 children |
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D. |
293 adults, 147 children |
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Hint |
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5. |
The sum of two numbers is –11. Twice the first number minus four times the second number is –10. What are the two numbers? |
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A. |
-6, -5 |
B. |
-9, -2 |
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C. |
-15, 4 |
D. |
-8, -3 |
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Hint |
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6. |
Which system of inequalities is graphed below? |
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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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7. |
Use elimination to solve the system of equations given by 3x – 2y = 10 and 5x + 2y = 6. |
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A. |
(2, -2) |
B. |
infinitely many solutions |
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C. |
no solution |
D. |
(-2, -8) |
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Hint |
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8. |
Use elimination to solve the system of equations given by 10x – 40y = 60 and 15x + 40y = -10. |
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A. |
(2, -1) |
B. |
(-14, -5) |
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C. |
no solution |
D. |
infinitely many solutions |
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Hint |
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9. |
Use elimination to solve the system of equations given by 6x + 15y = 15 and 4x – 5y = 25. |
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A. |
(10, -3) |
B. |
no solution |
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C. |
infinitely many solutions |
D. |
(5, -1) |
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Hint |
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10. |
Which point is in the solution set of and y > -2x – 1. |
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A. |
(0, 3) |
B. |
(-6, 5) |
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C. |
(-2, 8) |
D. |
(-2.8, 4.6) |
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Hint |
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