1. Identifying parts of a variable expression Simplifying variable expressions

2. Identifying parts of a variable expression Terms: a number or the product of a number and a variable Constant: a term that has no variable Coeffient: number that multiplies a variable

3. Like terms: have identical variables YESNO 5x and 3x5x and 3 4 and -83y and 4y 2 8xz and 7xz4x and 6xy

4. Name the coefficients, like terms and constants. CoefficientsLike termsconstant 6 + 2s + 4s -4x 9m + 2r – 2m + r

5. Deductive Reasoning Justifying your steps in problem solving. Ex: Simplify 4g + 3(3+g) Step 1: Distributive Property 4g + 3(3) + 3g 4g + 9 + 3g Step 2: Commutative Property 4g + 3g + 9 Step 3: Combining Like Terms 4g + 3g + 9 Step 4: Simplify 7g + 9

6. Examples: Simplify each 6y + 4m – 7y + m 6y + 4m + -7y + 1m 6y + -7y + 4m + 1m -1y + 5m 4x + 3 -2(5 + x) 4x + 3 + -2(5 +x) 4x + 3 + -2(5) + -2(x) 4x + 3 + -10 + -2x 4x + -2x + 3 + -10 2x + -7

7. Simplifying variable expressions You simplify a variable expression by combining like terms. Examples: 2x + 4 + 3x 2x + 3x + 4Rewrite so that like terms are together 5x + 4 Simplify by adding together the like terms 5y + y 5y + 1y Place a 1 in front of any variable without a coefficient. 6y Simplify by adding together the like terms 7x – x 7x + -1xChange the – to +(-) 6x Simplify by adding together the like terms