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# Algebra

### Algebra Vocabulary

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

Variable | A symbol that represents a quantity that can vary. |

Constant | A symbol that represents a specific number (a quantity that does not vary). |

Counting Numbers | Natural numbers such as 1, 2, 3, 4, 5 ... |

Integers | Includes counter numbers and other number such as ..., -3, -2, -1, 0, 1, 2, 3, ... |

Rational Numbers | Numbers that can be written in the form n/d where n and d are integers and d is not zero |

Real Numbers | All the numbers represented on the number line |

Irrational Numbers | The real numbers that are not rational. |

Average or Mean | To find, divide the sum of the numbers by the number of numbers in the group. |

Negative Numbers | Real numbers less than 0 |

Positive Numbers | Real numbers greater than 0 |

Scattergram | A graph of plotted ordered pairs. |

Independent Variable | The x axis of a scattergram; happens first |

Dependent Variable | The y axis of a scattergram, happens second |

Linearly related | If two quantities of an authentic situation are described accurately by a line. |

Model | A mathematical description of an authentic situation. |

Linear Model | A non-vertical line that describes the relationship between two quantities in an authentic situation. |

Input | A permitted value of the independent variable that leads to at least one output. |

Output | A permitted value of the dependent variable |

Intercepts of a Line | Any point where a line and an axis of a coordinate system intersect. |

Expression | A constant, variable, or a combination of constants, variables, operation symbols, and grouping symbols, such as parenthesis. |

Evaluate an Expression | We evaluate by substituting a number for each variable in the expressions and then calculating the result. |

Division by Zero | Division by zero is undefined. |

Simplify a Fraction | Reducing a fraction to it's lowest common denominator. |

Simplify Results | If the result of an exercise is a fraction, simplify it. |

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