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# Systems

### Vocabulary for Algebra I - Systems of Equations and Inequalities

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

System of Linear Equations p.329 | a set of two or more linear equations containing two or more variables |

Solution of a System of Linear Equations p.329 | an ordered pair that satisfies each equation in the system - the place where the graphs of the equations intersect |

Solving a system by Substitution p.336 | a method other than graphing that reduces a system to one equation that has only one variable so that you can solve for that variable's value |

Solving a system by Elimination p.343 | a method other than graphing that reduces a system to one equation that has only one variable by eliminating one of the variables through adding or subtracting the two equations |

Consistent Systems p.350 | systems that have at least one solution |

Inconsistent Systems p. 350 | systems that are parallel and therefore have no solution |

Independent Systems p.351 | a consistent system that has exactly one solution - it's graph appears as two intersecting lines |

Dependent Systems p.351 | a consistent system that has infinitely many solutions - it's graph places each line on top of the other (coincident), and appears as only one line |

Linear Inequality p.364 | similar to a linear equation, but the equal sign is replaced with an inequality symbol |

Solution of a Linear Inequality p.364 | any ordered pair that makes the inequality true |

System of Linear Inequalities p.371 | a set of two or more linear inequalities containing two or more variables |

Solutions of a System of Linear Inequalities p.371 | all or the ordered pairs that all of the linear inequalities in the system |

Created by:
gklee