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# Equations

### Vocabulary for Algebra I - Equations/Proportions/Formulas

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

constant | a value that does not change |

expression | a mathematical phrase that contains operations, numbers, and/or variables |

order of operations | a process for evaluating expressions - Parentheses/Exponents/Multiply/Divide/Add/Subtract |

variable | a symbol used to represent a quantity that can change |

equation | mathematical statement that two expressions are equal |

solution of equation | a value of a variable that makes an equation true |

equivalent equations | equations that have the same solution, but may look different |

identity | an equation that is always true, no matter what value is substituted for the variable |

deductive reasoning | the process of using logic along with known facts, definitions, and properties to reach a conclusion |

ratio | the comparison of two quantities - often expressed in a fraction |

proportion | a statement that two ratios are equal |

rate | a ratio of two quantities with different units, such as miles/gallon (mi/gal) |

unit rate | a rate with a second quantity of 1 unit - such as 22 mi/1 gal (22 mi/gal) |

cross products (cross multiplying) | multiplying diagonally across a proportion |

percent | a ratio that compares a number to 100 |

scale | a ratio between two sets of measurements (like 1 in:5 mi) |

formula | an equation that states a rule for a relationship among quantities (like d=rt) |

literal equation | an equation that has two or more variables |

absolute value of a number | the number's distance from zero on a number line |