 # Day Problems Evaluate each expression for 1. a – 2b2. b ÷ c 3. a ÷ c4. -2abc.

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Day Problems Evaluate each expression for 1. a – 2b2. b ÷ c 3. a ÷ c4. -2abc

1.7 The Distributive Property Distributive Property –For 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 –Examples: 5 (20 + 6) = 5 (20) + 5 (6) (20 + 6) 5 = 20 (5) + 6 (5) 9 ( 30 – 2) = 9 (30) – 9 (2) (30 – 2) 9 = 30 (9) – 2 (9)

Simplifying a Numerical Expression Use the distributive property to simplify 34 (102). 34 (102) = 34 (100 + 2) = 34 (100) + 34 (2) = 3400 + 68 = 3468

Simplifying an Expression Simplify each expression. a. 2 (5x + 3) = 2 (5x) + 2 (3) = 10x + 6 b.

Using the Multiplication Property of -1 Simplify –(6m + 4). -(6m + 4) = -1 (6m + 4) = -1 (6m) + (-1)(4) = -6m – 4

Algebraic Expressions 9/22/10 Term – a number, a variable, or the product of a number and one or more variables. Ex. 6a 2 – 5ab + 3b – 12 Constant – a term that has no variable. Ex. -12 Coefficient – a numerical factor of a term. Ex. 6, -5, and 3

Like Terms Like terms – have exactly the same variable factors. Like TermsNot Like Terms 3x and -2x8x and 7y -5x 2 and 9x 2 5y and 2y 2 xy and –xy4y and 5xy -7x 2 y 3 and 15x 2 y 3 x 2 y and xy 2 An algebraic expression in simplest form has NO like terms.

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