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

Graphing Systems of Inequalities
Practice Problems

How did you like the Systems of Inequalities examples? Did the color coding help you to identify the area of the graph that contained solutions? I hope so!

In order to complete these practice problems, you will need Graph Paper, colored pencils or crayons, and a ruler. If you don't have colored pencils or crayons, that's ok. You can draw horizontal lines for one graph and vertical lines for another graph to help identify the area that contains solutions.


Let's quickly review our steps for graphing a system of inequalities.

Systems of Inequalities

  • Graph the first inequality. (Pay attention to your boundary line and make sure you shade the half plane that contains the solutions to the inequality.)

  • Graph the second inequality on the same graph. (Shade the correct half plane in a different color or use a different design with your pencil.)

  • Identify the area that is shaded by BOTH inequalities. This is the solution to the system of inequalities.

Are you ready to practice a few on your own? Let's do it!



Practice Problems


graphing system of inequalities practice








Now it's time to check your answers. Pay special attention to the boundary lines and the shaded areas.


Answer Key


This first problem was a little tricky because you had to first rewrite the first inequality in slope intercept form. Dividing all terms by 2, was your first step in order to be able to graph the first inequality.

system of inequalities practice problems




Now let's take a look at your graph for problem 2. This problem was a little tricky because inequality number 2 was a vertical line.



Problem 2





systems of inequalities




Problem 3 is also a little tricky because the first inequality is written in standard form. The easiest way to graph this inequality is to rewrite it in slope intercept form.

SPECIAL NOTE: Remember to reverse the inequality symbol when you multply or divide by a negative number!



Problem 3


system of inequalties practice problems








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

Algebra Class Courses

algebra ecourse

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