Inequalities Worksheets

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
Solving Inequalities Worksheet 1 PDF
Preview Solving Inequalities Worksheet 1  in Your Browser
View Answers 

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.
Solving Inequalities Worksheet 2 RTF
Solving Inequalities Worksheet 2 PDF
Preview Solving Inequalities Worksheet 2 in Your Browser
View Answers

Solving Inequalities Worksheet 3 – Here is a twelve problem worksheet featuring two-step inequalities.  Use inverse operations or mental math to solve for x.
Solving Inequalities Worksheet 3 RTF
Solving Inequalities Worksheet 3 PDF
Preview Solving Inequalities Worksheet 3 in Your Browser
View Answers

Solving Inequalities Worksheet 4 – Here is a twelve problem worksheet featuring one-step inequalities.  Use inverse operations or mental math to solve for x.
Solving Inequalities Worksheet 4 RTF
Solving Inequalities Worksheet 4 PDF
Preview Solving Inequalities Worksheet 4 in Your Browser
View Answers

Solving Inequalities Worksheet 5 – Here is a twelve problem worksheet featuring two-step inequalities.  Use inverse operations or mental math to solve for x.
Solving Inequalities Worksheet 5 RTF
Solving Inequalities Worksheet 5 PDF
Preview Solving Inequalities Worksheet 5 in Your Browser
View Answers

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.
Graphing Inequalities Worksheet 1 RTF
Graphing Inequalities 1 PDF
View Answers

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.
Graphing Inequalities 2 RTF
Graphing Inequalities 2 PDF
View Answers

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”.
Graphing Inequalities 3 RTF
Graphing Inequalities 3 PDF
View Answers

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”.
Graphing Inequalities 4 RTF
Graphing Inequalities 4 PDF
View Answers

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” .
Graphing Inequalities 5 RTF
Graphing Inequalities 5 PDF
View Answers

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.
Graphing Inequalities 6 RTF
Graphing Inequalities 6 PDF
View Answers

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.
Absolute Value Equations Worksheet 1 RTF
Absolute Value Equations Worksheet 1 PDF
View Answers

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.
Absolute Value Equations Worksheet 2 RTF
Absolute Value Equations Worksheet 2 PDF
View Answers

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.
Absolute Value Equations Worksheet 3 RTF
Absolute Value Equations Worksheet 3 PDF
View Answers

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.
Absolute Value Equations Worksheet 4 RTF
Absolute Value Equations Worksheet 4 PDF
View Answers

Leave a comment

20 Comments

  1. This web is good

    Reply
  2. i like it. Its very helpful.

    Reply
  3. I like this website. It is very helpful for students.

    Reply
  4. Bob Marley

     /  June 16, 2013

    Interesting questions. Very good.

    Reply
  5. Holly

     /  November 21, 2013

    This is a great site! Thanks so much for helping me teach this concept to my 5th graders!

    Reply
    • Mr. Colwell

       /  December 24, 2013

      I’m glad that I could help. Thanks for visiting the site and come back often!

      Reply
  6. Very helpful, thanks!

    Reply
    • Mr. Colwell

       /  December 24, 2013

      You’re very welcome. I plan to add some Graphing Inequalities Worksheets soon. Thanks for your support.

      Reply
  7. utku

     /  January 6, 2014

    c’moon! so easy give me something like,
    ( m-2 ) x2 – (m+5) x + m-8 = 0,
    if it has 2 equal roots, what’s m?
    i need this kind, where can i find

    Reply
  8. Thanks for your website which helps me teach my students of form one in Tanzania. I always teach my students on how solve the topic of inequality. Please add more topic so that my students will continue to enjoys!

    Reply
    • Mr. Colwell

       /  January 28, 2014

      It’s nice to hear from our international visitors. I’m always adding new content. Check back often!

      Reply
  9. Someone

     /  January 19, 2022

    It is helpful but I can’t see the answer sheet for all of them.

    Reply
  10. jess

     /  January 23, 2023

    wish their was some fractions inequalities and equalities

    Reply
  11. jess

     /  January 23, 2023

    however work sheets have helped me tremendously just the one little flaw of not having fraction problems.

    Reply
  12. MICHELLE

     /  February 13, 2023

    I LOVE THIS WEBSITE. I USE IT EVERY DAY TO STUDY FOR TEST OR QUIZ FOR SCHOOL.

    Reply

Leave a Reply

Your email address will not be published. Required fields are marked *

By Using This Website You Agree to the Terms of Use.