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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 (2, 1) |
B. |
infinitely many solutions |
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C. |
one solution at (1, 2) |
D. |
no solution |
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Hint |
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2. |
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. |
320 adults, 120 children |
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B. |
380 adults, 760 children |
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C. |
293 adults, 147 children |
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D. |
220 adults, 220 children |
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Hint |
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3. |
Use elimination to solve the system given below. 5x - 2y = 25 5x + 3y = 5 |
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A. |
(4, -5) |
B. |
(3, -5) |
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C. |
(13, 20) |
D. |
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Hint |
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4. |
Use elimination to solve the system of equations given below. x + 3y = 6 2x - 6y = 8 |
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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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5. |
Use elimination to solve the system of equations given below. 3x - 2y = 4 2x + y = -2 |
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A. |
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B. |
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C. |
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D. |
(0, -2) |
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Hint |
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6. |
Which point is not a solution for the system of inequalities? |
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A. |
(-3, 7) |
B. |
(-2, -7) |
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C. |
(2, -5) |
D. |
(3, -3) |
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Hint |
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7. |
Which graph is the graph of the system of inequalities? y > 2x
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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 system of equations given by y = 2x + 2 and . |
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A. |
(4, -6) |
B. |
no solution |
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C. |
infinitely many solutions |
D. |
(-3, -4) |
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Hint |
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9. |
Use substitution to solve the system of equations given by y = and 28x – 32y = -8. |
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A. |
infinitely many solutions |
B. |
(2, 2) |
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C. |
no solution |
D. |
(1, 1) |
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Hint |
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10. |
Use elimination to solve the system of equations given by 7x + 23y = 12 and 3x + 23y = -8. |
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A. |
infinitely many solutions |
B. |
no solution |
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C. |
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D. |
(5, -1) |
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Hint |
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