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1. |
Use elimination to solve the system of equations. -x + 2y = 18 x + 8y = -38 |
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A. |
(-22, -2) |
B. |
(-5, -1) |
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C. |
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D. |
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Hint |
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2. |
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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3. |
Use the graph below to determine if the given system of equations has one solution, no solution, or infinitely many solutions. If the system has one solution, name it.
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A. |
one solution at  |
B. |
infinitely many solutions |
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C. |
one solution at (-6, 0) |
D. |
no solution |
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Hint |
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4. |
A long distance phone company has a monthly fee of $7.95 and charges a rate of $0.05 per minute. Another long distance company has a monthly fee of $9.95 and charges a rate of $0.03 per minute. At how many minutes would the two companies have equal charges? |
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A. |
100 minutes |
B. |
50 minutes |
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C. |
150 minutes |
D. |
They will never have the same charges. |
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Hint |
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5. |
Use substitution to solve the system of equations given by y = 2x and 5x + y = 7. |
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A. |
(2, 5) |
B. |
(1, 2) |
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C. |
(-2, -5) |
D. |
(-1, -2) |
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Hint |
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6. |
Use substitution to solve the system of equations given by y = and 28x – 32y = -8. |
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A. |
(1, 1) |
B. |
no solution |
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C. |
(2, 2) |
D. |
infinitely many solutions |
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Hint |
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7. |
Use elimination to solve the system of equations given by 10x – 40y = 60 and 15x + 40y = -10. |
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A. |
infinitely many solutions |
B. |
no solution |
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C. |
(-14, -5) |
D. |
(2, -1) |
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Hint |
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8. |
Use elimination to solve the system of equations given by 6x + 15y = 15 and 4x – 5y = 25. |
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A. |
(5, -1) |
B. |
infinitely many solutions |
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C. |
no solution |
D. |
(10, -3) |
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Hint |
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9. |
Which point is in the solution set of and y > -2x – 1. |
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A. |
(-6, 5) |
B. |
(-2, 8) |
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C. |
(-2.8, 4.6) |
D. |
(0, 3) |
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Hint |
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10. |
Which point is not in the solution set of y < 7x + 6 and y < -7x + 6. |
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A. |
(0, 2) |
B. |
(1, -5) |
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C. |
(2, -15) |
D. |
(-1, 6) |
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Hint |
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