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# Absolute Values

### Module 9: Absolute Value Equations and Inequalities

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

If a is positive, then |X| is X= _a or X= _ a | + , - |

There are always ___ solutions to a problem when a is positive | Two |

If there is a variable in the absolute value expression, you must first _____ the absolute value expression (between the bars) | Isolate |

For an equation where an isolated absolute value equals a negative, there will be ___ solution | No |

Two absolute value expressions are equal when the absolute value expressions are ______ of each other | Equal to or opposite |

If solving for |X|=0, it will always be ___ because which numbers distance from 0 is 0 units? | 0 |

If a is _____, then the |X|˂a is equal to –a ˂ X˂ a, as well as ≤ | Positive |

Before using an absolute value inequality property, you want to ____ the absolute value expression onto one side | Isolate |

If a is a ___ number, then |X|˃a is equivalent to X˂-a or X˃a as well as ≥ | Positive |

If the solution set includes numbers from the left on the number line, and numbers right on the number line, but does not include numbers between the others (such that there is a gap when you draw the number lines) then use the ___ sign to connect the set | Union |

Created by:
KristinaJaroh