1. Algebraic Expressions
How do you add, subtract, multiply, and factor algebraic expressions?

2. Generating equivalent expressions
Expand the expression 2(𝑎+7) using the distributive property.
2 𝑎+7 =2∙𝑎+2∙7
=2𝑎+14
Factor the expression 2𝑥+2
Find the common factor
Divide each term by the common factor 𝑥
Put parentheses around the simplified expression (𝑥+1)
Put the common factor outside the parentheses, indicating multiplication. 2(𝑥+1)
CHECK

3. Adding & subtracting expressions
Jill and Kyle get paid per project. Jill is paid a project fee of $25 plus $10 per hour. Kyle is paid a project fee of $18 plus $14 per hour. Write an expression to represent how much a company will pay to hire both to work the same number of hours on a project.
Write an expression for how much each person would get paid for ℎ number of hours
Jill: $25+10ℎ Kyle: $18+14ℎ
𝐹𝑒𝑒+𝐻𝑜𝑢𝑟𝑙𝑦 𝑅𝑎𝑡𝑒∙𝐻𝑜𝑢𝑟𝑠 ℎ
Add the expressions to represent the amount the company will pay to hire both
25+10ℎ+18+14ℎ
43+24ℎ

4. Using the distributive property
5−3 7𝑥+8
5−21𝑥−24
5+ −21𝑥 + −24
−19+(−21𝑥)
−9𝑎− 1 3 − 3 4 − 2 3 𝑎+12
−9𝑎 𝑎−4
−9𝑎 𝑎+ −4
− 81 9 𝑎 𝑎+ − 16 4
− 79 9 𝑎+ − 15 4
−8 7 9 𝑎+(−3 3 4 )

5. Simplify each expression
0.2 3𝑏−15𝑐 +6𝑐
2 3 6𝑒+9𝑓−21𝑔 −7𝑓
5𝑥−3 𝑥−2 −𝑥 𝑦−0.5(12𝑦−7)

6. Factoring Expressions
Factor 5𝑥+15 Factor 4𝑥+16

7. Independent work
Guided Practice 3-9
Independent Practice 11-12