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

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

$19.99 · Extensions sold separately

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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

Lesson Map

Combining Like Terms

Students will learn how to combine like terms and simplify expressions using positive numbers.

Distributive Property

Students will learn how to use distributive property and combine like terms to simplify expressions with rational number coefficients.

Two Step Equations with Rational Numbers

Students will learn how to solve two-step equations with rational numbers, including integers, decimals, and fractions.

  • CCSS 8.EE.C.7
  • CCSS 8.EE.C.7.b
  • CCSS 8.EE.C.7.a

Multi Step Equations

Students will learn to solve multi-step equations with variables on one side and on both sides, including using combining like terms, the distributive property, and inverse operations.

  • CCSS 8.EE.C.7
  • CCSS 8.EE.C.7.b

System of Equations by Graphing

Students will learn to solve system of linear equations through graphing.

  • CCSS 8.EE.C.8.a
  • CCSS 8.EE.C.8.b
  • CCSS 8.EE.C.8

System of Equations by Substitution

Students will learn how to solve systems of linear equations through substitution.

  • CCSS 8.EE.C.8.c
  • CCSS 8.EE.C.8.a
  • CCSS 8.EE.C.8.b
  • CCSS 8.EE.C.8

System of Equations by Elimination

Students will learn how to solve system of linear equations through elimination.

  • CCSS 8.EE.C.8.c
  • CCSS 8.EE.C.8.a
  • CCSS 8.EE.C.8.b
  • CCSS 8.EE.C.8

Linear Equations with Infinite, No and One Solutions

Students will learn to solve linear equations in one variable with one solution, no solutions, or infinite solutions.

  • CCSS 8.EE.C.7
  • CCSS 8.EE.C.7.b
  • CCSS 8.EE.C.7.a
  • CCSS 8.F.B.4

Extensions

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

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.

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Unit 2

Scientific Notation & Laws of Exponents

Unit 4

Functions

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