Curated OER
Systems of Linear Equations
Introduce the inverse matrix method to solve systems of linear equations both algebraically and graphically. Using given data, your class checks their answers with graphing calculators. Handouts are included in this well-thought out lesson.
BW Walch
Solving Systems of Linear Equations
Solving systems of equations underpins much of advanced algebra, especially linear algebra. Developing an intuition for the kinds and descriptions of solutions is key for success in those later courses. This intuition is exactly what...
Curated OER
Find A System
Learners must think critically about the graphical and algebraic forms of a system of linear equations in order to come up with their own system when given a point that is the solution to the system.
EngageNY
Nature of Solutions of a System of Linear Equations
If at first you cannot graph, substitute. The lesson introduces the substitution method as a way to solve linear systems if the point of intersection is hard to determine from a graph. The 28th installment of a 33-part series finishes...
Curated OER
Systems of Linear Equations: Word Problems
In this linear equation worksheet, student read word problems and write and algebraic equations. They use systems of linear equations to solve the problem. This one-page worksheet contains six problems, with answers.
Curated OER
Solving Systems of Linear Equations: Substitution Method
In this systems of equations worksheet, students use the substitution method to solve systems of linear equations. This one-page worksheet contains eight problems, with answers.
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...
University of Utah
Simultaneous Linear Equations
Solve simultaneous linear equations, otherwise known as systems of linear equations. Pupils practice solving systems of linear equations by graphing, substitution, and elimination. The workbook provides a class activity and homework for...
Curated OER
Systems of linear equations
In this Algebra I/Algebra II worksheet, students use systems of linear equations in two variables to solve verbal problems. The four page worksheet contains a combination of ten multiple choice and free response questions. Answers are...
CK-12 Foundation
Linear Systems with Addition and Subtraction: Fill in the Boxes 2
Systematically combine shapes to arrive at one solution. The resource models a system of linear equations using colored shapes. Pupils follow rules to combine circles and squares to add the two equations together, resulting in one...
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...
CK-12 Foundation
Graphs of Linear Systems: Star Lines
Let the class stars shine. Using four given linear equations, scholars create a graph of a star. The pupils use the interactive to graph the linear systems and determine the points of intersection. Through the activity, classmates...
Yummy Math
Going to the Game (systems)
Seven real-life math problems require the solving of simultaneous pairs of linear equations. Although a similar approach is taken for most of the problems, the topic of sports stadium concessions should keep the interest level high. As a...
Curated OER
Accurately Weighing Pennies I
Drawing from a scenario of the history of the penny, learners write and solve a system of linear equations from a context.
Mathed Up!
Solving Simultaneous Equations Graphically
The solution resides at the intersection. Pupils use a short instructional activity to review the process of solving a system of linear equations using graphing. The instructional activity provides completed graphs for most of the items,...
Curated OER
Solving Verbal Problems using a System of Linear Equations
In this Algebra I/Algebra II instructional activity, students solve word problems whose solution requires the use of a system of linear equations in two variables. The two page instructional activity contains a combination of ten...
Ohio Literacy Resource Center
Solving Systems of Linear Equations Graphing
Do you need to graph lines to see the point? A thorough lesson plan provides comprehensive instruction focused on solving systems of equations by graphing. Resources include guided practice worksheet, skill practice worksheet, and an...
BW Walch
Solving Systems of Linear Inequalities
One thing that puzzles a lot of young algebrists is the factors in a word problem that are taken as "understood". This presentation on solving systems of linear inequalities does a great job walking the learner through how to tease those...
Curated OER
Quinoa Pasta 2
Learners discover that a system of linear equations models this mixture of quinoa and corn in a collaborative task. Your learners receive all the relevant information in this second of three variants of tasks that ask them to find the...
Curated OER
Quinoa Pasta 3
A mixture of quinoa and corn is for dinner in this collaborative task that sets up nicely as a system of linear equations. Your supper guests discuss numerical precision and percentages as they formulate a plan of how to solve the problem.
CK-12 Foundation
Linear Systems with Addition and Subtraction: XYZ Tiles
Cover it up to reveal the values of variables. Using arrangements of colored tiles representing algebraic expressions, pupils layer them over each other to determine the values of variables. The procedure models the elimination method in...
West Contra Costa Unified School District
Graphing Systems
Get hands on with solving systems of equations graphically. A solid lesson plan uses guided practice to show how to solve systems of linear equations. It allows time for sharing ideas and provides a printable matching activity to promote...
Curated OER
Lesson 2 Solving y=mx+b systems
Students solve linear systems using slope intercept form. In this algebra lesson, students solve equations by rewriting them in the form y = mx + b. They evaluate coordinate pairs to see if they are a solution to the problem. Students...
Mathematics Vision Project
Module 4: Equations and Inequalities
Can you justify that mathematically? Help learners see the process of solving as using mathematical properties rather than a set of steps to memorize in the fourth module of a nine-part Algebra I series. The module contains six lessons...