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1. |
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 (-6, 0) |
B. |
one solution at . |
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C. |
infinitely many solutions |
D. |
no solution |
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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. |
one solution at (2, 0) |
B. |
one solution at (0, 2) |
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C. |
no solution |
D. |
infinitely many solutions |
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Hint |
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3. |
Use substitution to solve the system of equations given below.
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A. |
no solution |
B. |
(-12, -10) |
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C. |
(-10, -12) |
D. |
infinitely many solutions |
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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. |
(-8, 4) |
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. |
Determine which point is a solution to the system of inequalities by graphing.

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A. |
no solution |
B. |
(0, 7) |
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C. |
(3, 2) |
D. |
(5, 6) |
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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. |
no solution |
B. |
(0, 0) |
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C. |
(-7, 3) |
D. |
(8, 0) |
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Hint |
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8. |
Use substitution to solve the system of equations given by x – 4y = 24 and 3x – 4y = 16. |
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A. |
(-4, -7) |
B. |
(10, -3.5) |
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C. |
(-4, 7) |
D. |
(10, 3.5) |
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Hint |
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9. |
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. |
(-2, -8) |
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C. |
infinitely many solutions |
D. |
no solution |
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Hint |
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10. |
Use elimination to solve the system of equations given by 3x + 4y = 5 and 21x + 28y = 35. |
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A. |
no solution |
B. |
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C. |
infinitely many solutions |
D. |
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Hint |
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