# Unit 3: Linear Equations & Systems of Equations

## Overview

Ever wondered how to teach linear equations and systems of equations in an engaging way to your 8th-grade students?

In this unit plan, students will first learn about combining like terms and simplifying expressions. They will then progress to understanding two-step equations with rational numbers, including integers, decimals, and fractions.

Each lesson helps students master the unit through artistic, interactive guided notes, check for understanding, and culminates with a real life example that explores how linear equations and systems of equations are used in practical situations.

## Get the Unit Materials

### Linear Equations & System of Equations Guided Notes Unit Bundle | 8th Grade CCSS

\$19.99 · Extensions sold separately

## Learning Objectives

After this unit, students will be able to:

• Combine like terms and simplify expressions containing positive numbers.

• Apply the distributive property to simplify expressions with rational number coefficients.

• Solve two-step equations with rational numbers, including integers, decimals, and fractions.

• Solve multi-step equations with variables on one side or on both sides, utilizing techniques like combining like terms, the distributive property, and inverse operations.

• Solve systems of linear equations through graphing.

• Solve systems of linear equations through substitution.

• Solve systems of linear equations through elimination.

• Determine the solutions (infinite, no, or one) of linear equations in one variable.

## Prerequisites

Before this unit, students should be familiar with:

• Understanding of basic algebraic concepts such as variables and expressions

• Solving simple equations with one variable

• Familiarity with graphing points on a coordinate plane

• Knowledge of operations with integers, decimals, and fractions

• Understanding of the properties of equality and inequality

• Ability to solve simple word problems involving linear equations

## Key Vocabulary

• Like terms

• Distributive property

• Two-step equations

• Multi-step equations

• System of equations

• Substitution

• Elimination

• Solutions

## Extensions

#### Linear Equations & Systems of Equations Pixel Art Unit BUNDLE | 8th Grade CCSS

\$12.99

Students practice linear equations and systems of equations, including combining like terms, distributive properties, solving linear equations, one solution/no solution/infinite solutions, solving system of equations by graphing, substitution and elimination with this 8th Grade CCSS Linear Equations & Systems of Equations Pixel Art Unit Bundle. It contains 6 products with 13 pixel art activities total for a complete 8th grade Common Core linear equations and systems of equations unit.

These self-checking Google Sheets give students instant feedback. Incorrect answers are highlighted in red, and correct answers turn green and unlock parts of a mystery picture. They’re easy to assign, keep students engaged, and free up your time for differentiation and more.

Unit 2

Scientific Notation & Laws of Exponents

Unit 4

Functions

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