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# Algebraic Vocabulary

### Algebraic Relationship Vocabulary

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

Associative Property | No Matter how numbers are grouped, the answer will always be the same |

Associative Example | (4 + 2) + 6 is the same as 4 + (2 + 6) |

Associative Example | (2 x 3) x 4 is the same as 2 x (3 x 4) |

Base Number | A number to be raised to a power |

Base Number Example | 10 to the 1 Power = 10 |

Base Number Example | 10 to the 2 Power = 10 x 10 |

Commutative Property | In addition and multiplication, Numbers may be added or multiplied together in any order |

Commutative Example | A + B = B + A |

Commutative Example | A x B = B x A |

Distributive Property | Multiplying a number is the same as multiplying its addends by the number then adding the products |

Distributive Example | 6 x 9 is the same as 6 x (4 x 5) is the same as (6 x 4) + (6 x 5) = 24 + 30 = 54 |

Equation | A mathematical statement containing an equals sign, to show that two expressions are equal |

Equation Example | 2 + 2 = 4 |

Equation Example | 5x + 10 = 35 |

Exponent | Is a small number placed to the upper right of a base number which shows how many copies of a base number are multiplied together |

Exponent Example | 5 to the 4 power = 5 x 5 x 5 x 5 = 625 |

Expression | Is one or a group of terms and may include variables, constants, operations and grouping symbols. |

Expression Example | 3(X + Y) - 8 + 2x |

Identity Property | When zero is added to a number the result is the number itself. When one is multiplied to a number the result is the number itself. |

Identity Property Example | 12 + 0 = 12 , X + 0 = X , 6x + 0 = 6x |

Identity Property Example | 12 x 1 = 12 , X x 1 = X , 6X x 1 = 6X |

Inverse Operations | Opposite, Reverse operations - Addition and Subtraction Multiplication and Division |

Inverse Operations Example | 4 + 2 = 6 --------> 6 - 4 = 2 |

Inverse Operations Example | 2 + 4 = 6 ---------> 6 - 2 = 4 |

Variable | A quantity that can change or vary, taking on different values. It may be represented by any letter of the alphabet. |

Dependent Variable | The " Output " value of a function as in Y = X squared ---- Y is the Dependent variable |

Independent Variable | The " Input " Value of a function as in Y = X squared ----- X is the dependent variable |

Created by:
dteague1111