Classifying Solutions of Linear Equations – Practice Problems

Having fun while studying, practice your skills by solving these exercises!

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Do you need help? Watch the Video Lesson for this Practice Problem.

After this lesson, you will be able to identify how many solutions a linear equation has.

The lesson begins by teaching you that there are three types of solutions to linear equations. It leads you to learn that a linear equation sometimes has no, infinitely many, or exactly one solution. It concludes with examples of each of these three types of solutions.

Learn about classifying solutions of linear equations by helping Bert Cutler figure out the mystery behind their mystery game.

This video includes key concepts, notation, and vocabulary such as the phrase “false statement”, which is a short way of saying that a linear equation has no solutions.

Before watching this video, you should already be familiar with transforming or rewriting linear equations using the distributive property.

After watching this video, you will be prepared to learn how to find “consistent equations”, which are linear equations with exactly one solution.

Common Core Standard(s) in focus: 8.EE.C.7
A video intended for math students in the 8th grade
Recommended for students who are 13 - 14 years old

Go to Video Lesson
Exercises in this Practice Problem
Explain why the equations have one, infinitely many, or no solutions.
Describe how to determine if an equation has one, infinitely many, or no solutions.
Find equations with one, infinitely many, or no solutions.
Determine which equations have one, infinitely many, or no solutions.
Solve the equations which have one solution.
Identify which equation describes the story and how many solutions it has.