If you're seeing this message, it means we're having trouble loading external resources for Khan Academy.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Solving equations and inequalities

7 videos
2 skills
The core underlying concepts in algebra are variables, expressions, equations and inequalities. You will see them throughout your math life (and even life after school). This tutorial won't give you all the tools that you'll later learn to analyze and interpret these ideas, but it'll get you started thinking about them. Common Core Standards: 6.EE.B.5, 6.EE.B.6, 6.EE.B.7

Variables, expressions, and equations

VIDEO 6:55 minutes
This video will give you a great understanding of variables, expressions, and equations. If you've struggled with them before, this one may just do the trick!

Substituting variables and judging inequalities

VIDEO 4:47 minutes
In this word problem we're looking to see if various possible answers can be substituted for variables in the expressions, and if the resulting equality holds up. That may actually sound harder than it is, so just jump in with us!

Testing solutions of equations and inequalities

Practice plugging in values to equations and inequalities and checking to see if the relationships hold true.

Substituting variables and simple equation

VIDEO 1:16 minutes
This basic equation asks us to substitute for a variable with given values in order to find correct one.

Substituting variables and solving for an equality

VIDEO 2:24 minutes
The great thing about understanding expressions and equalities is that they can be used to solve real life problems, like how many dogs you can eat in a minute!

Substituting variables and solving for an inequality

VIDEO 2:33 minutes
Here's a slightly more complicated expression that seeks not equality, but a greater than relationship. Help us try out different values until we succeed.