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1. |
Which statement illustrates the commutative property of addition? |
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A. |
(5 + 3) + 6 = 8 + 6 |
B. |
(5 + 3) + 6 = 14 |
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C. |
(5 + 3) + 6 = 5 + (3 + 6) |
D. |
(5 + 3) + 6 = (3 + 5) + 6 |
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Hint |
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2. |
Simplify 3 + 2(xy+ 3z) + 4xy. |
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A. |
5xy + 3z + 3 |
B. |
6xy + 3z + 3 |
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C. |
9xy + 15z |
D. |
6xy + 6z + 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. |
infinitely many solutions |
B. |
one solution at . |
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C. |
no solution |
D. |
one solution at (-6, 0) |
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Hint |
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4. |
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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5. |
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. |
no solution |
B. |
one solution at (0, 2) |
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C. |
one solution at (2, 0) |
D. |
infinitely many solutions |
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Hint |
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6. |
Use substitution to solve the system of equations given below. y = 2x 5x - y = -24 |
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A. |
no solution |
B. |
(-4, -8) |
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C. |
(-8, -16) |
D. |
infinitely many solutions |
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Hint |
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7. |
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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8. |
Select the linear equation. |
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A. |
= -2 |
B. |
y = -5x + 1 |
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C. |
5x2 + 2y2 = 1 |
D. |
3xy – 2y = 7 |
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Hint |
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9. |
Use elimination to solve the system of equations given by 3x – 2y = 12 and 3x + 5y = 33. |
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A. |
(6, 3) |
B. |
infinitely many solutions |
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C. |
(14, 15) |
D. |
no solution |
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Hint |
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10. |
Determine the best method to solve the system of equations. Then solve the system. 
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A. |
(0, −3) |
B. |
(3, 2) |
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C. |
(−2, −3) |
D. |
(2, −3) |
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Hint |
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