7th Ch 5.2

Daily Warm-Up Exercises For use with pages xxx–xxx 1) 3m + 2 + 1 + 8m + 2𝑚 2 Terms = Constant = Coefficient = Like terms = Variable = 2) 4x + 9 + 8𝑥 2 + 7𝑥 2 2

Answers to homework

Ch 5.2 Standard: af 1.3 simplify numerical expressions by applying properties of rational numbers CONNECT BEFORE you wrote algebraic expressions. NOW you will simplify algebraic expressions. Goals: 1.) We will identify parts of an expression. 2.) We will combine like terms.

Group the like terms together. Add or subtract the like terms. Name date period Combine Like Terms Essential question: How do we combine like terms in expressions? Steps: Group the like terms together. Add or subtract the like terms. Bring everything else down.

1) 3x + x – 5 2) 9y + z – 7y + 5z 3) 14 + 7x – 9 + x

1) 9y + 2 + 13y 2) 8x + 9z – 2x + z 12x + 7 + 2x – 3 Describe each step you used to solve problem #3. _______________________________________________ __________________________________________________

1) 9y + 2 + 13y 2) 8x + 9z – 2x + z 12x + 7 + 2x – 3 Describe each step you used to solve problem #3. _______________________________________________ __________________________________________________

4) 5 𝑥 2 + 3x – 2x + 3 𝑥 2 5) 9 𝑥 2 + 10 𝑥 3 + 7 𝑥 2 – 8 𝑥 3

Summary There are ___ steps to combine like terms. First, __________________________________ . Afterwards, ____________________________ . Lastly, _________________________________ .

Practice Combine like terms 8 +2x + 6x + 9 2) 6 + 7x + 2x + 9x

Practice Combine like terms 1) 5 𝑥 5 + 1 + 8 𝑥 5 + 7 𝑥 5 + 9 + 2 𝑥 3 1) 5 𝑥 5 + 1 + 8 𝑥 5 + 7 𝑥 5 + 9 + 2 𝑥 3 2) 4 𝑥 2 + 1 + 12 𝑥 2 + 4 + 10 𝑥 3

Ex 3) simplify expressions Use the distributive property. Combine the like terms.

3a) 2(4 + x) + x 3b) -5(3y – 6) +7y 3c) 2x – 3 (6 + x)

Practice 3d) 5(x + 3) – 2x 3e) -6(2x – 4 ) + 8x 3f) 4(3y + 2) + 3y – 8x