ALGEBRA - Properties of Real Numbers

A | B |
---|---|

Distributive Property (Numbers) | 3(5 + 2) = 15 + 6 |

Commutative Property of Addition (Numbers) | 3 + 7 = 7 + 3 |

Commutative Property of Multiplication (Numbers) | 2 • 10 = 10 • 2 |

Associative Property of Addition (Numbers) | 5 + (6 + 7) = (5 + 6) + 7 |

Keeping this in consideration, what is the law of algebra?

The Basic

**Laws of Algebra**are the associative, commutative and distributive**laws**. They help explain the relationship between number operations and lend towards simplifying equations or solving them. Property Name. Definition. Example.What are the rules to solve an equation?

In algebra 1 we are taught that the two

**rules for solving equations**are the addition**rule**and the multiplication/division**rule**. The addition**rule**for**equations**tells us that the same quantity can be added to both sides of an**equation**without changing the**solution**set of the**equation**.How do you solve an algebraic expression?

**Solve an algebraic expression with fractions.**

- (x + 3)/6 = 2/3. First, cross multiply to get rid of the fraction.
- (x + 3) x 3 = 2 x 6 =
- 3x + 9 = 12. Now, combine like terms.
- 3x + 9 - 9 = 12 - 9 =
- 3x = 3. Isolate the variable, x, by dividing both sides by 3 and you've got your answer.
- 3x/3 = 3/3 =
- x =1.