# Solutions of Equations

Videos and lessons to help Grade 8 students learn how to solve linear equations in one variable.

A. Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x = aa = a, or a = b results (where a and b are different numbers).

B. Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms.

Common Core: 8.EE.7a

### Suggested Learning Targets

• I can give examples of linear equations in one variable with one solution and show that the given example equation has one solution by successively transforming the equation into an equivalent equation of the form x=a
• I can give examples of linear equations in one variable with infinitely many solutions and show that the given example has infinitely many solutions by successively transforming the equation into an equivalent equation of the form a=a
• I can give examples of linear equations in one variable with no solution and show that the given example has no solution by successively transforming the equation into an equivalent equation of the form b=a, where a and b are different numbers.

Related Topics:

Common Core for Mathematics

More Math Lessons for Grade 8

Finding examples of linear equations in one variable with one, none, or many solutions (8.EE.7a)
In this lesson you will learn that a linear equation has one solution by transforming it into a simpler form.

Finding examples of linear equations in one variable with one, none, or many solutions (8.EE.7a)
In this lesson you will learn that a linear equation has no solutions by transforming it into a simpler form.

Finding examples of linear equations in one variable with one, none, or many solutions (8.EE.7a)
In this lesson you will learn that a linear equation has infinitely many solutions by transforming it into a simpler form.

Finding examples of linear equations in one variable with one, none, or many solutions (8.EE.7a)
In this lesson you will learn to predict how many solutions a linear equation has by identifying key features of equations.

Sorting and Classifying Equations Overview
Grade 8 / Math / Collaboration
CCSS: Math.8.EE.C.7a
Lesson Objective
Work in groups to classify equations

Solve equations with no solutions - 8.EE.7
In this lesson, you will learn to solve equations with no solutions by using inverse operations.

Solve equations with infinite solutions - 8.EE.7
In this lesson, you will learn to solve equations with infinite solutions by using inverse operations.

Number of solutions to linear equations.

Solve equations of the form ax+b=c using inverse operations - 8.EE.7
In this lesson, you will learn how to solve equations of the form ax + b = c by using inverse operations.

Solve equations using inverse operations - 8.EE.7
In this lesson, you will learn how to solve equations of the form (a/b)x = c by using inverse operations.

Solve equations with variables on both sides - 8.EE.7
In this lesson, you will learn to solve equations with variables on both sides by using inverse operations to collect like terms across the equal sign.

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You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.