Simplify and Evaluate Algebraic Expressions SWBAT translate one and two step verbal expressions into algebraic expressions; evaluate algebraic expressions; simplify algebraic expressions by combining like terms; simplify algebraic expressions by using properties

Think What does simplify mean? What does simplify mean? Twice the sum of 4 and a number Twice the sum of 4 and a number 2 4 n 2 4 n 2(4 + n) 2(4 + n) What property could we use on this? What property could we use on this? Distributive Distributive 2(4 + n) 2(4 + n) 8 + 2n 8 + 2n x +()

Definitions Evaluate Evaluate Plug in a given variables value and compute according to the operations Plug in a given variables value and compute according to the operations Like terms Like terms Those with the same variable, raised to the same powers Those with the same variable, raised to the same powers Simplest form Simplest form When an expression has no like terms When an expression has no like terms Constant Constant A term without a variable A term without a variable Coefficient Coefficient The numerical factor in front of a variable The numerical factor in front of a variable

Simplifying Circle the like terms in the following expression. Circle the like terms in the following expression. 4j + 82 – 2j + 7x 4j + 82 – 2j + 7x How could this expression be simplified? How could this expression be simplified? 4j – 2j = 6j 4j – 2j = 6j 6j + 7x j + 7x + 82

Simplifying 3m 2 n + |-8| + 2m 2 n 3m 2 n + |-8| + 2m 2 n 4w – w + 3 4w – w + 3 xy xy 2 – 2x 2 y + |-7| xy xy 2 – 2x 2 y + |-7|

Simplifying Gather the variables that are your initials and return to your seat. Gather the variables that are your initials and return to your seat. In your groups write your entire groups variables as an expression, then simplify it In your groups write your entire groups variables as an expression, then simplify it

Evaluating What does it mean to evaluate? What does it mean to evaluate? How would evaluate the following expression if x=4? How would evaluate the following expression if x=4? 2x + 7 2x + 7 2(4) + 7 2(4)

Evaluating Evaluate the following when a = 3, b = -2, and c = 5 Evaluate the following when a = 3, b = -2, and c = 5 abc abc a 2 - |-c| a 2 - |-c| c 3 – 4ab 2 c 3 – 4ab 2 b(a + c) b(a + c)