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# Gr 6 Algebra Ch 3

### Algebra terms, properties, combining and simplifying

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

Any single number, variable, or coefficint-variable team in an algebraic expressions | Term |

The number that multiplies a variable written right next to it in an algebraic expression 2y + 5 | Coefficient |

A letter that holds the place for a number | Variable |

A number on its own in an algebraic expression | Constant (It's "constantly lonely") |

Rules for combining like terms | 1) Same variables 2) Same powers 3) Constants combine |

34 + 0 = 34 | The Identity Property of Addition. Any number plus zero is that number. 34 + 0 = 34 (The number "keeps its identity.") |

17 x 1 = 17 | Identity Property of Multiplication. The product of any number and one is that number (The number "keeps its identity") |

4+(8+2) = (4+8)+2 | The Associative Property of Addition (a+b)+c = a+(b+c) |

7(2y + 5) = 14y + 35 | The Distributive Property a(b+c) = a(b) + a(c) |

6 less than r | r - 6 |

Frank is 5 years older than twice Alba's age | 5 + 2a or 2a + 5 |

3 times the difference of y and 10 | 3(y-10) |

17 • 0 = 0 | Zero Property of Multiplication. Any number times zero is zero |

3 + 2 + 1 = 2 + 3 + 1 | Commutative Property of Addition. The numbers change places but the sum stays the same. |

a • b = b • a | Commutative Property of Multiplication. The factors change places but the product stays the same. |

Created by:
ltorff