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# Chapter 4 7th Grade

### Algebraic Equations

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

algebraic expression | is a mathematical phrase that uses variables, numbers and operation symbols. |

variable | is a letter that stands for a number |

Equation | is a mathematical sentence with an equal sign. |

Open sentence | is an equation with one or more variables. |

Solution | is any value or values that make an equation or inequality true. |

Addition Property of Equality | states that if the same value is added to each side of the equation,the results are equal. |

Inverse Operation | are operations that undo each other. |

Subtraction Property of Equality | states that if the same value is subtracted to each side of the equation, the results are equal. |

Division Property of Equality | states that if both sides of the equation are divided by the same nonzero number,the sides remain equal. |

Multiplication Property of Equality | states that if each side of an equation is multiplied by the same nonzero number, the sides remain equal. |

Inequality | is a mathematical statement that contains one of the following signs <,> =. |

Addition Property of Inequality | states that if you add the same value to each side of the inequality, the relationship between the two sides does not change. |

Subtraction Property of Inequality | when you subtract the same value to each side of the inequality,the relationship between the two inequality does not change. |

Division Property of Inequality | states that if you divide both sides of the inequality by a positive number then the inequality does not change, but if you divide by a negative number then you must reverse the sigh. |

algebraic expression | is a mathematical phrase that uses variables, numbers and operation symbols. |

variable | is a letter that stands for a number |

Equation | is a mathematical sentence with an equal sign. |

Open sentence | is an equation with one or more variables. |

Solution | is any value or values that make an equation or inequality true. |

Addition Property of Equality | states that if the same value is added to each side of the equation,the results are equal. |

Inverse Operation | are operations that undo each other. |

Subtraction Property of Equality | states that if the same value is subtracted to each side of the equation, the results are equal. |

Division Property of Equality | states that if both sides of the equation are divided by the same nonzero number,the sides remain equal. |

Multiplication Property of Equality | states that if each side of an equation is multiplied by the same nonzero number, the sides remain equal. |

Inequality | is a mathematical statement that contains one of the following signs <,> =. |

Addition Property of Inequality | states that if you add the same value to each side of the inequality, the relationship between the two sides does not change. |

Subtraction Property of Inequality | when you subtract the same value to each side of the inequality,the relationship between the two inequality does not change. |

Division Property of Inequality | states that if you divide both sides of the inequality by a positive number then the inequality does not change, but if you divide by a negative number then you must reverse the sigh. |

Multiplication Property of Inequality | states that if you multiple both sides of the inequality by a positive number then the inequality does not change, but if you if you multiple by a negative number then you must reverse the sighs. |