# 9. Use the distributive property to solve equations (FP)

teaches Common Core State Standards CCSS.Math.Content.7.EE.B.4a http://corestandards.org/Math/Content/7/EE/B/4/a
teaches Common Core State Standards CCSS.Math.Practice.MP4 http://corestandards.org/Math/Practice/MP4

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Lesson objective: Write and solve equations of the form p(x+q) = r.

This lesson helps to build procedural skill with solving equations that involve the distributive property. Area models are used here because it supports the understanding of two different methods to solve these equations. This work develops students' understanding that properties of equality allow us to transform equations into equivalent equations in order to solve.

Students engage in Mathematical Practice 4 (model with mathematics) as they construct p(x+q)=r equations to model and solve word problems.

Key vocabulary:

• equivalent equations
• distributive property

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