Algebra Solving Worksheets

Solving is a very important skill to learn in any algebra course. The ability to solve a variety of different types of equations and inequalities takes time and practice to master.  Below are some worksheets that will help master these skills

[ Ch. 2 Solving Linear Equations ]
[ Ch. 2 Solving Linear Inequalities ]
[ Ch. 6 Solve Quadratic Equations by Factoring ]
[ Ch. 7 Solving Rational Equations ]
[ Ch. 8 Solving Radical Equations ]

If you are an instructor, please feel free to use these worksheets in your algebra course. More supplementary material can be found on our Elementary Algebra Textbook page.

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Algebra: Solving Linear Equations and Inequalities (Study Guide)

Chapter 2: Linear Equations and Inequalities

Extra video examples to accompany Elementary Algebra - the free to read online open textbook published by Flat World Knowledge.

--> Click on a problem below to see it worked out on YouTube. <--

Introduction to Algebra

Simplifying Algebraic Expressions

Solving Linear Equations: Part I

Solving Linear Equations: Part II

Applications of Linear Equations

Ratio and Proportion Applications

Introduction to Inequalities and Interval Notation

Linear Inequalities (One Variable)

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Absolute Value Inequality: A Graphical Approach

An absolute value inequality, such as,

can be solved as follows:

We can visualize these solutions if we graph the function,

in the rectangular coordinate plane and determine where the graph lies below the horizontal line given by .  In other words, for what x-values is

This idea is illustrated below:

Furthermore, we could use the same graph to visualize the solutions to,

We can see that the solutions are,

Now take the time to compare this visualization to that given on Wolfram Alpha.  Remember, it is always helpful to understand the geometric interpretation whenever possible.