Equations

Algebraic Equations  A Balancing Act

Inverse Operations
Source: Math Is Fun
Inverse Operation is "The operation that reverses the effect of another operation."
Click here for a good video on Inverse Operations

Take a look at this description of how inverse operations works:

Example 1: Addition and subtraction are inverse operations.
If you have 2 candy bars and you add 8 more, then you would have 10:
2 + 8 = 10
If you started with 10 candy bars and you eat 8, you would have 2.
10  8 = 2
Another way to look at it  you subtract 8 from both sides of the original equation to keep it balanced.

Example 2: Multiplication and division are inverse operations.
If 4 people come to your party and they each bring 3 cookies, then you would have 12 cookies:
4 x 3 = 12
What if instead, you made 12 cookies and 4 people came to your party. They could take home 3 cookies each:
12/4 = 3
Another way to look at it  you could divide both sides of the original equation by 4 to keep it balanced.

Video Tutorials
Watch the series of Khan Academy The Why of Algebra. This series of videos will give you a solid foundation for understanding Algebraic Equations. They provide a multitude of examples. Watch as many as you need to in order to understand what is an Algebraic Equation and why and how you do things to "both" sides of an equation to solve it.
After watching the recommended Khan Academy videos series, you might like to see two other videos from Khan Academy which use a Yoga class as an example:
After watching the recommended Khan Academy videos series, you might like to see two other videos from Khan Academy which use a Yoga class as an example:


Other Tutorials
Here are some other sites that explain how Algebraic Equations work:
This is a very good interactive tutorial.

Sparks Notes  Inverse Operations

Online Activities
Here are some fun ways to practice your knowledge on Algebraic Equations:
There are two games on this page. Select either Solving (one step) Equations with Addition and Subtraction or Multiplication and Division.

Solve two step equations.

This interactive mathematics resource allows the user to explore and interpret word problems by evaluating expressions and solving equations in a variety of different contexts.

Worksheets
Use these for practice. Some of the sites allow you to print the questions. Others are online only. In either case, you should systematically work through the problems on paper and then double check to make sure your answers are correct.
Algebra.Help  Online tool with stepbystep solutions
Soft schools  Generate your own worksheets. Select from one step addition, one step subtraction, addition & subtraction, one step multiplication and two step multiplication.
Adapted Mind  Algebraic Formulas Practice Problems  evaluate real world word problems.
Math Drills  Select Solving Linear Equation Worksheets, then choose the type of problem you'd like to practice, and click on a letter to the right.