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# Solving Equations Using Algebra - 7.2 - Lesson 22 and 23

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Author: Todd Parks

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Tutorial

## Lesson 22 & 23 - Student Outcomes

Student Outcomes

1. Students use algebra to solve equations (of the form px + q = r and p(x + q) = r where p, q, and r are specific rational numbers); using techniques of making zero (adding the additive inverse) and making one (multiplying by the multiplicative inverse) to solve for the variable. (Lesson 22)

2. Students identify and compare the sequence of operations used to find the solution to an equation algebraically, with the sequence of operations used to solve the equation with tape diagrams.  They recognize the steps as being the same. (Lesson 22)

3. Students solve equations for the value of the variable using inverse operations; by making zero (adding the additive inverse) and making one (multiplying by the multiplicative inverse). (Lesson 22)

Lesson Questions / Review

- What do we mean when we say “solve the equation ?

- What property allows us to add 8 to both sides?

- What role does the additive inverse play in solving this equation, and how can you model its use with the tape diagram?

- What role does the multiplicative inverse play in solving this equation, and how can you model its use with the tape diagram?

- What does this equation look like when modeled using a tape diagram?

Lesson Summary

## IXL - Algebra - B.2 - Solve Linear Equations: Word Problems

Complete this IXL target.  Click the following link and log in:  IXL - Algebra - B.2 - Solve Linear Equations: Word Problems

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