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# Math Vocab Ch.6

### Equations & Inequalities (6th grade advanced math)

Term | Definition |
---|---|

addition property of equality | If you add the same number to each side of an equation, the two sides remain equal. |

addition property of inequality | If you add the same number to each side of an inequality, the inequality stays the same. |

coefficient | The numerical factor of a term that contains a variable |

division property of equality | If you divide each side of the equation by the same non-zero number, the sides remain equal. |

division property of inequality | When you divide each side of the equation by a negative number, the inequality symbol must be reversed for the inequality to remain true. |

equation | A mathematical sentence that contains an equal sign, = , stating that two quantities are equal |

equivalent expressions | Two or more expressions with the same solution. |

inequality | An open sentence that uses < > ≠ ≤ ≥ to compare quantities |

multiplication property of equality | If you multiply each side of an equation by the same non-zero number, the two sides remain equal. |

multiplication property of inequality | When you multiply each side of an inequality by a negative number, the inequality symbol must be reversed for the inequality to remain true. |

solution | A replacement value for the variable in an open sentence. A value for the variable that makes an equation true. The solution of 12=x+7 is 5. |

subtraction property of equality | If you subtract the same number from each side of an equation, the two sides remain equal. |

subtraction property of inequality | If you subtract the same number from each side of an inequality, the inequality stays the same. |

two-step equation | An equation having two different operations |

two-step inequality | An inequality that contains two different operations |

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mbcamom