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# Name the Property

### Given an example of an algebraic property, name the property illustrated

Question | Answer |
---|---|

Example: 2x + (x + 7) = (2x + x) + 7 = 3x + 7 | associative property of addition |

Example: 3(2x) = (3*2)x = 6x | Associative property of multiplication |

Example: 5x + -2x = -2x + 5x = 3x | Commutativeproperty of addition |

Example: (-2x)(3) = (3)(-2x) = -6x | Commutative property of multiplication |

Example: 3x + -(3x) = 0 | additive inverse |

Example: (3/5)x * (5/3)x = 1x | Multiplicative inverse |

Example: If 5x - 2 = 8, then 5x - 2 + 2 = 8 + 2 | addition property of equality |

Example: If 3x + 2 = 11, then 3x + 2 - 2 = 11 - 2 | Subtraction Property of Equality |

Example: If 3x/2 = 12, then 2(3x/2) = 12*2 | multiplication property of equality |

Example: If 3x = 9, then (3/3)x = 9/3 | Division property of equality |

Example: If 3(2x - 1), then 6x - 3 | Distributive Property |

Created by:
MrTinaro