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.
Are you ready to practice a few on your own? Let's do it!
Now it's time to check your answers. Pay special attention to the boundary lines and the shaded areas.
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.
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 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!
Sign Up for Algebra Class E-courses
"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
Copyright © 2009-2014 Karin Hutchinson ALL RIGHTS RESERVED