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1. |
Which system of equations 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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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.
2x - y = 4
x + 2 y = 2 |
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A. |
infinitely many solutions |
B. |
no solution |
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C. |
one solution at (0, 2) |
D. |
one solution at (2, 0) |
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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. |
infinitely many solutions |
B. |
(21, 27) |
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C. |
no solution |
D. |
(3, -9) |
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Hint |
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4. |
Use elimination to solve the system of equations shown below.
2x - 4y = -5
3x + 4y = -15 |
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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. |
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. |
-9, -2 |
B. |
-15, 4 |
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C. |
-8, -3 |
D. |
-6, -5 |
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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. |
(-2, -7) |
B. |
(3, -3) |
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C. |
(-3, 7) |
D. |
(2, -5) |
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Hint |
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7. |
Use substitution to solve the system of equations given by x – 4y = 24 and 3x – 4y = 16. |
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A. |
(10, 3.5) |
B. |
(10, -3.5) |
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C. |
(-4, -7) |
D. |
(-4, 7) |
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Hint |
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8. |
Use elimination to solve the system of equations given by –7x + 3y = 14 and 7x – 2y = -11. |
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A. |
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B. |
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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 8x – 4y = -20 and 10x – 5y = 35. |
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A. |
infinitely many solutions |
B. |
no solution |
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C. |
(0, 0) |
D. |
(-12, -12) |
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Hint |
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10. |
Use graphing to solve the system of inequalities given by y < x + 1 and  |
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B. |
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D. |
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Hint |
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