Introduction

When you solve a linear equation, you can get one of three possible answers: one solution, infinitely many solutions, and no solution.

We have balanced linear equations with one solution, it is time to take a look at what happens with equations that have infinitely many solutions or no solution at all.

Lesson Objectives

Following successful completion of this lesson, students will be able to...

  • Solve and create equations that may or may not have a solution

Essential Questions

  • How can you write linear equations to help you solve real-life problems?
  • What are the differences and similarities between a linear equation and an expression?
  • How can you write linear inequalities to help you solve real-life problems?
  • What are the differences and similarities between a linear equation and a linear inequality?

Enduring Understandings

  • Linear equations can be used to solve real-life problems.
  • Linear inequalities can be used to solve real-life problems.

The above objectives correspond with the Alabama Course of Study: Algebra I and Grade 8 Mathematics standards: 11.