These worksheets are especially meant for pre-algebra and algebra 1 courses grades There are NINE problem types. The first two have to do with plotting simple inequalities and writing an inequality from a number line graph.

A note about Slide 3: Since today's lesson mimics our last class, I will ask students to graph and shade the first inequality.

I then will model the graphing of the second inequality. I will graph this second example with a different color so that students can clearly distinguish between the two. As we work on graphing the inequalities, I will encourage students to pick 5 test points and input the coordinates into the table in the x, y column.

I will work with the class to make sure that we pick five points that are in different locations in and out of the solution set. As a whole group we will go through the table, placing an "x" inside the cell if the corresponding test point is a solution for that particular inequality.

We will then complete the last column of the table, writing the word YES if their are two "X" symbols in that row, and NO if there are not. Using the information in our table, I will refer back to the graph. We will shade the regions where both inequalities overlap with a third color.

Students can choose to work independently or with a partner, but will be required to compare their work with a peer every 10 minutes. We will then review our responses as a whole group.Algebra 1 - Graphing Linear Inequalities I've basically thrown the textbook the rest of the way out the window.

Last semester, I tried to present Algebra 1 concepts in the same order as the textbook even though my students were not using the textbook.

Below are the graphs of the linear inequalities: y x. Pictured above is the system of inequalities made up the same two linear inequalities: y x When we take both of the linear inequalities pictured above and graph them on same Cartesian plane, we get a system of linear inequalities.

Systems of Linear Inequalities OBJECTIVES 1.

Graph a system of linear inequalities 2. When you solve a system of linear inequalities, itβs often easier to shade the region that is not part of the solution, rather than the region that is. Try this method, then. Module 1 β Systems of Equations and Inequalities Writing and graphing inequalities in two variables to represent constraints (kaja-net.com2, kaja-net.com3, kaja-net.com) Graphing the solution set to a linear system of inequalities.

Systems of Linear Equations. A Linear Equation is an equation for a line. A linear equation is not always in the form y = β x, It can also be like y = (7 β x) So now you know what a System of Linear Equations is.

Let us continue to find out more about them .

Solving. There can be many ways to solve linear equations! Solve word problems that involve systems of linear inequalities. If you're seeing this message, it means we're having trouble loading external resources on our website.

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Systems of Linear Inequalities - SAS