Unit 4. Day 10.
Example A: 𝑆𝑜𝑙𝑣𝑒. 4𝑎 + 6 = −12 + Alternate form: Familiar form: −6 −6 −18 = 4𝑎 4 4 − 18 4 = 1 𝑎 𝑎=− 18 4 − 9 2 −4 1 2 = =
Example B*: 𝑆𝑜𝑙𝑣𝑒. 8 = 12+ 𝑒 4 −12 −12 4 4 𝑒 4 −4 = −16 = 𝑒
Example C: 𝑆𝑜𝑙𝑣𝑒. −𝑥+7 = 3 −7 −7 − 𝑥 1 = −4 −1 −1 𝑥 = 4
8−𝑦 = 5 −𝑛−3 =11 𝑆𝑜𝑙𝑣𝑒. Example D*: Example E*: Example F*: − 2 3 𝑛+4=12 Example F*:
Example D*: 𝑆𝑜𝑙𝑣𝑒. −𝑛−3 =11 +3 +3 − 𝑛 1 = 14 −1 −1 𝑛 = −14
8−𝑦 = 5 8−𝑦 = 5 8 + −𝑦 = 5 𝑦 = 3 𝑦 = 3 Example E*: 𝑆𝑜𝑙𝑣𝑒. −8 −8 −8 −8 − 𝑦 1 = −3 − 𝑦 1 = −3 −1 −1 −1 −1 𝑦 = 3 𝑦 = 3
− 2 3 𝑥 = 1 ∙ ∙ 𝑥 = 8 ∙ Example F*: − 3 2 − 3 2 − 24 2 − 2 3 𝑛+4=12 −4 ÷ − 2 3 − 2 3 − 2 3 − 24 2 1 8 1 − 3 2 − 24 2 𝑛 = ∙ = = −12
Example G: Write an equation. Then solve the equation. Mr. Jordan rented one video game and 3 movies for a total of $11.50. The video game cost $4.75 to rent. The movies cost the same amount each to rent. What amount, in dollars, did Mr. Jordan pay to rent each movie? 11.50 4.75 3𝑚 + = 4.75+3𝑚=11.50 −4.75 −4.75 3𝑚 = 6.75 3 3 𝑚 = 2.25