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The Distributive Property

The Distributive Property. Purpose : To use the distributive property Outcome : To simplify algebraic expressions.

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The Distributive Property

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  1. The Distributive Property Purpose: To use the distributive property Outcome: To simplify algebraic expressions

  2. Vocabulary: Distributive Property, terms, constant, coefficient, and like termsProperty: 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

  3. -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

  4. 1) Simplify the following expression: a) 5( x + 3) + 2x b) (10a + 2b)42) Simplify then, identify the term(s), constant, variable(s), and the numerical coefficients of the algebraic expression. 10(2b + 3c +4) + 5c3) Which terms are like terms? 2y, -4x 123, & 5y

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