CK-12 Foundation
Linear Programming: Bakers' Dilemma
Place the pies in a line. Pupils create a graph of a system of linear inequalities to represent the number of pies a bakery can make. Learners analyze the vertices on the graph to determine the number of pies they can bake without...
Mathematics Vision Project
Module 5: Systems of Equations and Inequalities
Systems of equations and inequalities model contextual situations. A set of 12 lessons build a solid understanding of writing and solving systems of equations and inequalities using a variety of methods. The module is the fifth in a...
Mathematics Assessment Project
Representing Inequalities Graphically
A new, improved version of the game Battleship? Learners graph linear inequalities on the coordinate plane, then participate in a game where they have to guess coordinate points based on the solution to a system of linear inequalities in...
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...
EngageNY
Solution Sets to Simultaneous Equations (part 1)
How are systems related? Build on your pupils' previous knowledge of solving systems of equations by introducing systems of inequalities. Learners explore similarities between systems of equations and inequalities to make a strong...
Curated OER
Topic 3.5 & 3.6: Linear Programming
In this linear programming worksheet, students 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
Graph Related Linear Inequalities
High schoolers explore the concept of linear inequalities. In this linear inequality lesson, students graph linear inequalities using Microsoft Excel.
Curated OER
Application of Linear Systems
Let the learners take the driving wheel! The class solves systems of linear equations and applies the concepts of systems to solve a real-world situation about parking cars and buses. They then use calculators to create a visual of their...
Curated OER
Solving multi-step inequalities and solving systems by elimination
Learners solve multi-step equations and apply the process of elimination. In this algebra lesson, students solve linear inequalities and equations using linear combination and evaluation. They graph their results on a number line and...
Curated OER
Systems of Linear Inequalities 2
High schoolers solve systems of inequalities. In this lesson, they identify the solution of the two lines and shade the solution. They identify the boundary line and the region representing the solution.
Curated OER
Graphing the Solution Set of a System of Inequalities
In this Algebra I/Algebra II worksheet, students graph the solution set of a system of inequalities. The two page worksheet contains a combination five multiple choice and free response questions. Answers are included.
Curated OER
Systems of Linear Inequalities #5
In this systems of linear inequalities worksheet, students solve 10 multiple choice problems about linear inequalities. Students determine the maximum and minimum values of systems of linear inequalities.
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...
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...
Washingtonville Central School District
Systems of Equations (Substitutes and Elimination)
With a whopping total of 66 questions, here is a resource that provides a full variety of systems of equations questions using elimination and substitution solution methods.
Curated OER
Linear Inequalities
In this linear inequalities worksheet, students solve and graph systems of inequalities on a coordinate plane. Examples and explanations are provided. This five-page worksheet contains 32 problems. Answers are provided at the end of...
Curated OER
Systems of linear inequalities in standard form
Learners practice graphing linear inequalities and explain their solution sets to the solving of a system of linear equalities graphically and symbolically. They utilize programming techniques in setting up and solving systems of linear...
Curated OER
Systems of Linear Inequalities
In this Algebra I/Algebra II worksheet, students solve systems of linear inequalities by graphing the inequalities on a coordinate plane and determining the location of all ordered pairs that solve the system. The three page worksheet...
Curated OER
Systems of Linear Inequalities
In this systems of linear inequalities activity, 9th graders solve 10 different problems that include various linear inequalities. First, they solve each equation for y. Then, students graph each individual inequality and locate where...
Curated OER
Solve a System of Inequalities
In this system of linear inequalities activity, students solve 5 problems with the graphing method and are given 2 examples with multiple steps to follow.
EngageNY
Linear Systems in Three Variables
Put all that algebra learning to use! Using algebraic strategies, learners solve three-variable systems. They then use the three-variable systems to write a quadratic equation given three points on the parabola.
EngageNY
Introduction to Simultaneous Equations
Create an understanding of solving problems that require more than one equation. The lesson introduces the concept of systems of linear equations by using a familiar situation of constant rate problems. Pupils compare the graphs of...
EngageNY
Systems of Equations Leading to Pythagorean Triples
Find Pythagorean Triples like the ancient Babylonians. The resource presents the concept of Pythagorean Triples. It provides the system of equations the Babylonians used to calculate Pythagorean Triples more than 4,000 years ago. Pupils...
Curated OER
A Model Solar System
If Earth is modeled by a grapefruit, what planet could be represented by a golf ball? This activity uses everyday and not-so-everyday objects to create a model of the Solar System.