Are you looking for free math worksheets that will help your students develop and master real-life math skills? The algebra worksheets below will introduce your students to solving inequalities and graphing inequalities. As they take a step-by-step approach to solving inequalities, they will also practice other essential algebra skills like using inverse operations to solve equations.

Start your class off with Worksheet 1, which feature basic inequalities that can solved in one step and focuses simply on positive numbers. As your students practice each successive worksheet, multi-step inequalities are introduced along with some negative numbers. By the time your students have completed this series of free algebra worksheets they will know when to reverse inequality symbols, graph solutions, and check their solutions all by themselves!

## Solving Inequalities Worksheets

**Solving Inequalities Worksheet 1** – Here is a twelve problem worksheet featuring simple one-step inequalities. Use inverse operations or mental math to solve for *x*.

Solving Inequalities Worksheet 1 RTF

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**Solving Inequalities Worksheet 2** – Here is a twelve problem worksheet featuring simple one-step inequalities. Use inverse operations or mental math to solve for *x*.

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**Solving Inequalities Worksheet 3** – Here is a twelve problem worksheet featuring two-step inequalities. Use inverse operations or mental math to solve for *x*.

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**Solving Inequalities Worksheet 4** – Here is a twelve problem worksheet featuring one-step inequalities. Use inverse operations or mental math to solve for *x*.

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**Solving Inequalities Worksheet 5** – Here is a twelve problem worksheet featuring two-step inequalities. Use inverse operations or mental math to solve for *x*.

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## Graphing Inequalities Worksheets (Single Variable)

**Graphing Inequalities Workheet 1 –** Here is a 15 problem worksheet where students will graph simple inequalities like “*x < -2″ *on a number line.

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** Graphing Inequalities Workheet 2 –** Here is a 15 problem worksheet where students will graph simple inequalities like “

*x < -2″*and “

*-x > 2″*on a number line. Be careful, you may have to reverse one or two of the inequality symbols to get the correct solution set.

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** Graphing Inequalities Workheet 3 –** Here is a 12 problem worksheet where students will both

*solve*inequalities and

*graph*inequalities on a number line. This set features one-step addition inequalities such as

*“x + 5 > 7”.*

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** Graphing Inequalities Workheet 4 –** Here is a 12 problem worksheet where students will both

*solve*inequalities and

*graph*inequalities on a number line. This set features one-step addition and subtraction inequalities such as

*“5 + x > 7”*and

*“x – 3″ < 21”.*

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**Graphing Inequalities Workheet** 5 –** **Here is a 12 problem worksheet where students will both *solve *inequalities and* graph* inequalities on a number line. This set features two-step addition inequalities such as* **“2x + 5 > 15” .*

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** Graphing Inequalities Workheet 6 –** Here is a 12 problem worksheet where students will both

*solve*inequalities and

*graph*inequalities on a number line. This set features two-step addition and subtraction inequalities such as

*“2x + 5 > 15”*and “

*4x -2 = 14.*

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## Absolute Value Inequality Worksheets (Single Variable)

**Absolute Value Inequality Worksheet 1 –** Here is a 9 problem worksheet where you will find the solution set of absolute value inequalities. These are one-step inequalities with mostly positive integers.

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**Absolute Value Inequality Worksheet 2 –** Here is a 9 problem worksheet where you will find the solution set of absolute value inequalities. These are one-step inequalities where you’ll need to use all of your inverse operations knowledge.

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**Absolute Value Inequality Worksheet 3 –** Here is a 9 problem worksheet where you will find the solution set of absolute value inequalities. These are two-step inequalities where you’ll need to use all of your inverse operations knowledge.

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**Absolute Value Inequality Worksheet 4 –** Here is a 9 problem worksheet where you will find the solution set of absolute value inequalities. These are two-step inequalities that can get quite complicated. A nice challenge for your higher-level learners.

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