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# Hester Algebra II

### Algebra II Vocabulary 1 8132009

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

Classification of real numbers | Rational and Irrational |

A real number that is not rational. | Irrational number |

With an irrational number, the decimal form of an irrational number neither termainates nor repeats. | True |

The decimal form of a rational number is either a ____________ or _____________ decimal. | terminating; repeating |

A mathematical sentence containing one or more variables is called an __________________. | open sentence |

Can be expressed as a ratio m/n, where m and n are integers and n is not zero. | rational number. |

Reflexive Property | For any real number a (a=a) |

set-builder notation | The expression of the solution set of an ineqality {x1x>9} |

Substituion Property | if a=b, then a can be replaced by b, and b can be replaced by a. |

Symmetric Property | For all real numbers a & b, if a=b then b=a. |

Transitive Property | For all real numbers a, b & c, if a=b and b=c, then a=c. |

Trichotomy Property | For any two real numbers a and b , exactly one of the following is true: a < b , a = b , a > b . |

Associative Property | the change in grouping of three or more addends or factors does not change their sum or product. |

union | The graph of a compound inequality containing "or". |

absolute value | A number's distance from zero on the number line, represented by |x| |

Algebraic expression | An expression that contains at least one variable. |

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

Commutative Property (addition) | a + b = b + a. |

Commutative Property (multiplication) | a * b=b * a. |

compound inequality | Two inequalities joined by the word "and" or "or". |

Distributive Property | a(b + c) = ab + ac or(b + c)a = ba + ca |

empty set | The solution set for an equation that has no solution, sybolized by {} or |

Identy Property | a + 0 = a = 0 + a |

intersection | The graph of a compound inequality containing "and". |

Inverse Property (addition) | a + (-a) = 0 = (-a) + a |

Inverse Property (multiplication) | If a not equal 0, then a * 1/a = 1 = 1/a * a |

Created by:
jhester