Unit 3, Lesson 8# Using If-Then Moves in Solving Equations

EngageNY 45 min(s)

Students understand and use the addition, subtraction, multiplication, division, and substitution properties of equality to solve word problems leading to equations of the form 𝑥 + 𝑞 = 𝑟 and 𝑝(𝑥 + 𝑞) = 𝑟 where 𝑝, 𝑞, and 𝑟 are specific rational numbers. Students understand that any equation with rational coefficients can be written as an equation with expressions that involve only integer coefficients by multiplying both sides by the least common multiple of all the rational number terms. The intent of this lesson is for students to make the transition from an arithmetic approach of solving a word problem to an algebraic approach of solving the same problem. Recall from Module 2 that the process for solving linear equations is to isolate the variable by making 0s and 1s.