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1. |
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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2. |
Use substitution to solve the system of equations given below.
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A. |
(-12, -10) |
B. |
(-10, -12) |
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C. |
infinitely many solutions |
D. |
no solution |
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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 given below. 4x + 3y = -20 x + 3y = 4 |
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A. |
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B. |
(-8, 4) |
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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 + 4y = -12 x - y = 10 |
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A. |
(52, 42) |
B. |
(28, 18) |
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C. |
(4, -6) |
D. |
(-4, -14) |
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Hint |
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6. |
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. |
-8, -3 |
B. |
-6, -5 |
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C. |
-15, 4 |
D. |
-9, -2 |
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Hint |
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7. |
Determine which point is a solution to the system of inequalities by graphing. y > -2x + 6 2x + y -3 |
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A. |
(0, 0) |
B. |
(8, 0) |
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C. |
(-7, 3) |
D. |
no solution |
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Hint |
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8. |
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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9. |
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. |
no solution |
B. |
one solution at  |
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C. |
infinitely many solutions |
D. |
one solution at (-6, 0) |
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Hint |
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10. |
Use elimination to solve the system of equations given by 10x – 40y = 60 and 15x + 40y = -10. |
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A. |
no solution |
B. |
infinitely many solutions |
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C. |
(-14, -5) |
D. |
(2, -1) |
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Hint |
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