Simplifying Algebraic Expressions What we can and can’t do……

Vocabulary Term: Coefficient: Constant: Like terms: Term: Coefficient: Constant: Like terms: Parts of an algebraic expression separated by + or - The numerical factor of a term; the number with the variable A term without a variable Terms that have the same variable 3x x three terms like terms 7 is the constant because it has no variable.

4n + 2n + 9 Terms….there are 3 Constant….no variable Like terms….same variable Like terms can be combined. 4n + 2n + 9 = 6n + 9

ExpressionNumber of terms Like terms? List them ConstantSimplified 5x + 7 8b b 4(5)x 7p + 2p + p r + 6s + 5s ( 4b + 6) + 3b none 7 Circle the coefficients 5x b, 2b98b – 2b + 9 = 6b none 20x 4 7p 2p 1p 18 10p s 5s 12 9r + 11s b b b 3b 4, 30 23b + 34

The Farmer’s Market The Farmer’s market sells fruit baskets. Each basket has 3 apples and 1 pear. Use “a” to represent the cost of each apple and “p” to represent the cost of each pear. Write and simplify an expression that represents the total cost of 5 baskets. 3a + p in one basket, so….. 5(3a + p) in 5 baskets 15a + 5p would represent the cost of 5 baskets. Writing Expressions for Word Problems

Application: Word Problems Myka’s Gift Bags 8(5p + 2g) 40p + 16g Myka is making eight gift bags. In each bag she will put 5 bottles of nail polish and 2 tubes of lip gloss. Write an expression for one bag. Write an expression for 8 bags. Evaluate for the total of all bags. (5p + 2g)

Matching Expressions to Stories Four friends went to the museum. Two of the friends watched the video tour. The other two did not. The cost of admission was $ X. The video tour was an additional $2. Find the expression. Three people had pizza for lunch. Two more students had pizza and salads. Let x represent the pizza, and s represent the salad. Four friends went to a local amusement park. Three of the friends bought ride tickets for x dollars, plus a game pass for $2. The other friend bought just a ride ticket. Write and simplify an expression showing the amount of total money spent. 3x + 2(x + s) 3(x + 2) + x 2(x + 2) + 2x

What did we accomplish? We continued working with algebraic expressions. We identified parts of the expressions. We simplified using properties. We wrote expressions for word problems. We matched problems with the expression that would “tell the story” of the problem.