The Distributive Property

Purpose: To use the distributive propertyOutcome: To simplify algebraic expressions

Vocabulary: Distributive Property, terms, constant, coefficient, and like terms

Property: Distributive propertyFor every real number a, b, and c,

a(b + c) = ab + ac (b + c) a = ba + ca a(b - c) = ab – ac (b - c) a = ba - ca

-You can use the distributive property to simplify an algebraic expression. An Algebraic expression in simplest form has no grouping symbols.

- A term is a number, a variable or the product of a number and one or more variables

-A constant is a term that as o variable.

-A coefficient is a numerical factor of a term

- Like terms have exactly the same variables factors

1) Simplify the following expression: a) 5( x + 3) + 2x b) (10a + 2b)4

2) Simplify then, identify the term(s), constant, variable(s), and the numerical coefficients of the algebraic expression.

10(2b + 3c +4) + 5c

3) Which terms are like terms?

2y, -4x 123, & 5y