Home

Algebra and Pre-Algebra Lessons

Algebra 1 | Pre-Algebra | Practice Tests | Algebra Readiness Test

Algebra E-Course and Homework Information

Algebra E-course Info | Log In to Algebra E-course | Homework Calculator

Formulas and Cheat Sheets

Formulas | Algebra Cheat Sheets
» » » Practice Problems

Graphing Linear Inequalities
Practice Problems

inequalities practice problems

How are you doing with graphing inequalities? Can you remember how to draw the boundary line and which side of the half plane to shade?

On this page, you will find two practice problems for graphing inequalities. Try them on your own and see how you do.

You may need to go back and review the examples on graphing linear inequalities.

Before you begin, let's review a few things!

    Steps for Graphing Linear Inequalities

  • Rewrite the inequality in slope intercept form if needed.

  • Graph a dotted line if the inequality is greater than or less than.

  • Graph a solid line if the inequality is greater than or equal to or less than or equal to.

  • Substitute an ordered pair to determine which side of the line to shade. (0,0) is the easiest ordered pair to choose, if it is not on the line.

  • Shade the side of the line that contains all of the solutions to the inequality.

  • Check your work by substituting a point to determine whether or not it is a solution.


Ok... are you ready? Your turn to practice graphing linear inequalities.

Click here to print graph paper for your practice problems.




Practice Problems


graphing inequalities practice problems



Now you must check your answers. If you had difficulty, check the steps below to help find where you are making your mistake. Remember that making mistakes is OK, as long as you learn from those mistakes. This is the reason why I feel that step by step answer keys are very important.



Answer Key



The inequality in Example 1 is already written in slope intercept form. Therefore, you can graph the y-intercept at y = -4 and use a slope of -1 to find the next point.

Notice that we used a solid boundary line since the inequality symbol is "less than or equal to" in this problem.


graphing inequalites practice

All of the points in the yellow shaded area are solutions to this inequality. You can choose any point in this area, substitute those values for x and y into the original inequality, and end up with a true math statement.





Problem 2


Problem 2 is already written in slope intercept form as well, so we can begin graphing the y-intercept at y = 3 and using a slope of 3 to find the next point.

Notice that we have a dotted boundary line this time because the inequality symbol is "greater than" in this problem. This means that solutions to the inequality are NOT included on the boundary line.

inequalities practice problems


Since (0,0) is not a solution, we shaded the left hand side of the dotted line. This half plane contains all of the points that are solutions to this inequality.

Try it! Pick any point in the shaded area and substitute the values for x and y into the original inequality. Your math sentence should be a true statement with any point in the shaded area.





Great Job! You are doing great with graphing linear inequalities. Next we will study Systems of Inequalities.




Like This Page?



Comments

We would love to hear what you have to say about this page!

Other Pages You Might Like



Top of the Page

Follow Algebra-Class




Recommend Algebra Class




Algebra Class E-course Members

Username:
Password:

Sign Up for Algebra Class E-courses

Click here to retrieve a lost password.

Search This Site

Custom Search

***calculator.shtml***

Algebra Class Courses

algebra ecourse

algebra 1 review course

pre algebra ecourse


Algebra Class
Most Popular Pages

algebra practice test

algebra cheat sheets

algebra formulas


What People Are Saying...


"I'd like to start off by relaying my sincerest gratitude for your dedication in teaching algebra. Your methodology is by far the simplest to follow, primarily because you take the time to include the small steps in between that most other teachers leave out.

It helps to know why you are doing something. I am 45 and heading to college to get my BS in Business. I need to brush up, hence the visit to your site. Great Job!"

Jimmy - United States



"I stumbled onto your site after I found out that I needed to use some fundamental algebra for an assignment. Turns out I had forgotten some things and your great site helped me remember them like "that" (snap of fingers). The organization of the site let me find exactly what I was looking for so easily. Kudos to you for maintaining such a great resource for students of all ages!"

Tom - United States



"I just wanted to write and basically thank you for making such a wonderful website! I'm 20 years old and about to take a basic placement test for college. I wanted to brush up on my Algebra skills and I stumbled upon your site. I'm amazed at how simple you make it and how fast I'm remembering Algebra! I don't remember getting most of the answers right when I had an actual teacher in front of me teaching this. Thanks a lot!"

Elizabeth - United States



"I am a pensioner living in South Africa. I stumbled on your website, the best thing that could ever happen to me! Your course in Algebra has helped me a lot to better understand the different concepts. Thank you very much for sharing your skills for teaching math to even people like me. Please do not stop, as I am sure that your teachings have helped thousands of people like me all over the world."

Noel - South Africa



This is an amazing program. In one weekend I used it to teach my Grade 9 daughter most of the introductory topics in Linear Relations. I took her up to Rate of Change and now she can do her homework by herself.

Reg - United States


Helpful Resources

Pre-Algebra

Algebra

More Algebra Resources




?

Subscribe To This Site

XML RSS
Add to Google
Add to My Yahoo!
Add to My MSN
Add to Newsgator
Subscribe with Bloglines


Enjoy This Site?
Then why not use the button below, to add us to your favorite bookmarking service?

Connect and Follow Algebra Class



Copyright © 2009-2014 Karin Hutchinson ALL RIGHTS RESERVED