1. Warm-up Simplify: 2𝑚 𝑛 2 2 𝑚 7 𝑛 3 4 3 𝑦 2 𝑧 −1 2𝑦 𝑧 4
2𝑚 𝑛 𝑚 7 𝑛 3 4
3 𝑦 2 𝑧 −1 2𝑦 𝑧 4
2 𝑎 4 𝑏 𝑐 2 𝑏
𝑔 −3 ℎ 6 𝑔ℎ −2 4ℎ

2. HW Answers 1 𝑥 20 2 𝑦 2 𝑥 2 𝑥 8 𝑥 4 𝑦 3 4 2 𝑛 26 3𝑥𝑦 8 8 𝑣 4 𝑥 4
1 𝑥 20
2 𝑦 2 𝑥
2 𝑥 8
𝑥 4 𝑦 3 4
2 𝑛 26
3𝑥𝑦 8
8 𝑣 4
𝑥 4
8 𝑥 8 𝑦 6
𝑚 8 4

3. In the social world… In the math world…
An expression is a facial gesture that shows the emotion that a person is feeling.
In the math world…
An expression is a set of terms which is connected by mathematical operations.

4. Simplifying Expressions
Goal: Combine all like terms (terms that have the same variable and degree/exponent)
**Always leave simplified expression in standard form with the exponents decreasing in power from left to right
Example:
Final Simplified Expression

5. Try some with your partner 
5 minutes
End

6. Adding/Subtracting Polynomials
“Distribute” the sign in the middle and then combine like terms!
**Pay close attention to the sign in the middle!!**
2𝑥+3 − 4𝑥−𝑦+8
5 𝑎 2 −4𝑎+𝑏 + 10 𝑎 2 −3𝑏+19
4𝑚𝑛−2𝑛 − 3 𝑚 2 𝑛 + 12𝑚𝑛+𝑛−9𝑚
5 ℎ+7𝑔ℎ −2 4𝑔−ℎ +3 𝑔−ℎ +6𝑔ℎ

7. Don’t forget to combine like terms and put it in standard form!!
When multiplying expressions we simply use the distributive property several times…
Don’t forget to combine like terms and put it in standard form!!

8. Let’s do a few together! 

9. Your turn!!
5 minutes