Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.

Normal Size Small Size show me how

Normal Size Small Size show me how

# 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
on 2009-08-13