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

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 2 Divide each term by the common factor 2𝑥 2 + 2 2 Put parentheses around the simplified expression (𝑥+1) Put the common factor outside the parentheses, indicating multiplication. 2(𝑥+1) CHECK

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

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+ 1 4 + 2 9 𝑎−4 −9𝑎+ 1 4 + 2 9 𝑎+ −4 − 81 9 𝑎+ 1 4 + 2 9 𝑎+ − 16 4 − 79 9 𝑎+ − 15 4 −8 7 9 𝑎+(−3 3 4 )

Simplify each expression 0.2 3𝑏−15𝑐 +6𝑐 2 3 6𝑒+9𝑓−21𝑔 −7𝑓 5𝑥−3 𝑥−2 −𝑥 8.3+3.4𝑦−0.5(12𝑦−7)

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

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