Virginia Department of Education
Nonlinear Systems of Equations
Explore nonlinear systems through graphs and algebra. High schoolers begin by examining the different types of quadratic functions and their possible intersections. They then use algebraic methods to solve systems containing various...
EngageNY
Geometric Interpretations of the Solutions of a Linear System
An intersection is more than just the point where lines intersect; explain this and the meaning of the intersection to your class. The 26th segment in a 33-part series uses graphing to solve systems of equations. Pupils graph linear...
Shodor Education Foundation
Linear Inequalities
An interactive lesson helps individuals learn to graph inequalities in two variables. Scholars can adjust the interactive to present the inequalities in standard or slope-intercept form.
CK-12 Foundation
Linear Inequalities in Two Variables
Take the tediousness out of finding solutions of inequalities by graphing. Individuals use an interactive that allows them to adjust a system of inequalities on a coordinate plane. Using the interactive helps find solutions to systems of...
Benjamin Franklin High School
Saxon Math: Algebra 2 (Section 4)
This fourth of twelve units in a series continues the investigation of functions through equations and inequalities. However, the modular nature of the lessons in the section make this an excellent resource for any curriculum...
Radford University
Linear Programming: Sports Shoes
Don't shoo away the resource on shoes. Given constraints on the amount of leather and string needed to make two different types of shoes, learners graph a system of inequalities for the situation. They then determine the maximum profit...
Curated OER
Two-Variable Linear Inequalities
Here is an engaging lesson on solving equations with two variables. Have the class rewrite linear equations in the slope intercept form, y=mx + b. They graph the lines using the slope and y-intercepts.
Curated OER
Systems of Equations
In this Algebra 2 worksheet, students solve systems of equations and inequalities then graph the solutions on a number line. There are 11 problems to solve.
Curated OER
Solve a System of Inequalities
In this system of linear inequalities learning exercise, students solve 5 problems with the graphing method and are given 2 examples with multiple steps to follow.
Curated OER
Integrated Algebra Practice: Systems of Linear Equation Word Problems
In this systems of equations worksheet, students solve 10 short answer problems. Students write and solve systems of equations given a word problem.
Curated OER
Solving Linear Inequalities
Walk the class through the steps of how to evaluate linear inequalities in one variable and graph the solution set. Define and discuss key vocabulary terms, then have individuals work problems of varying difficulty. Included are word...
Curated OER
GSE Foundations of Algebra: Equations and Inequalities
Need lessons on writing and solving one- and two-step linear equations and inequalities, as well as systems of equations? This comprehensive 106-page module from the Georgia Department of Education contains many different lessons for a...
Curated OER
Graphing Systems of Inequalities
In this graphing systems of inequalities worksheet, 9th graders solve and complete 8 different problems. First, they solve each inequality if necessary. Then, students graph each inequality to locate the overlapping portions on the grid....
Curated OER
Doctor, Doctor, Give Me the News, I've Got a Bad Case of Loving Math
Solve a real-world problem of discovering how many doctors and nurses can be hired within budget and building constraints. Using different colored pencils to shade each graph, they then find the intersection points and use these to solve...
Curated OER
Topic 3.5 & 3.6: Linear Programming
For this linear programming worksheet, learners define variables and write a system of inequalities for the given situation. They model the solution through graphing. This two-page worksheet contains six multi-step word problems.
Curated OER
Linear Programming
In this algebra worksheet, students calculate the maximum and minimum of a shaded region. They identify the boundaries and their vertices's. There are 2 problems.
Curated OER
Graph Related Linear Inequalities
Learners explore the concept of linear inequalities. In this linear inequality lesson, students graph linear inequalities using Microsoft Excel.
Curated OER
Border Patrol ID: 11603
Incorporate technology in your classroom by teaching your learners how to graph systems of linear inequalities as they apply to an area of land. The lesson provides an extension in which students are challenged to write a system of...
Curated OER
Applications of Linear Systems
In this Algebra I/Algebra II worksheet, students solve verbal problems whose solution requires the use of a system of linear equations. The five page worksheet contains a combination of thirty-one multiple choice and free response...
Curated OER
Solving Systems of Linear Equations in Three Variables
Practice solving linear systems of three equations with three unknowns using the elimination method and substitution method. This handout includes graphics of different combinations of intersecting planes to help illustrate the different...
Curated OER
Systems of Equations
Students solve inequalities and systems of equations. In this algebra instructional activity, students use substitution and elimination as they solve algebraic systems. They use graphing and a table to support their solutions.
Curated OER
Linear Programming
Students explore inequalities to determine the optimal solution to maximize a profit for a company. In this linear programming lesson, students discover how to graph inequalities and how to determine the algebraic representation of a...
Virginia Department of Education
Road Trip
Help plan a road trip with linear equations. Scholars consider two different rental car companies and write equations representing the cost for each company. They graph the system of equations to determine the conditions under which each...
Curated OER
Systems of Linear Inequalities in Standard Form -- Lecture
Pupils participate in a lecture about linear inequalities. Individually, they graph different inequalities and describe its solution. They participate in a demonstration in which they solve a system of inequalities and complete a...