A | B |

equivalent expressions | Expressions that have the same values when numbers are substituted for the variables. |

Distributive Property | The product of a number and the sum of two numbers is equal to the sum of the two products. For example, a(b + c) = ab + ac. |

Like terms | Two or more terms in an expression that have the same variables raised to the same powers. |

Equation | A statement that two expressions are equivalent. |

Identities | Equations that are true for all values of the variable. |

Conditional equations | Equations that are not true for all values of the variables they contain. |

Equivalent equations | Equations that have the same solutions. |

Commutative Property of Addition | Changing the order of the addends does not change the sum. |

Commutative Property of Multiplication | Changing the order of the factors does not change the product. |

Associative Property of Addition | Changing the grouping of the addends does not change the sum. |

Associative Property of Multiplication | Changing the grouping of the factors does not change the product. |

Inequalities | mathematical sentences that contain an inequality symbol. |

Solution of an equation | Finding all the values of the variable that make the equation true. |

Solution of an inequality | Finding all the values of the variable that make the inequality true. |