Lesson Plan
Virginia Department of Education

Road Trip

For Teachers 8th - 10th
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...
Activity
Illustrative Mathematics

Dimes and Quarters

For Teachers 8th - 12th Standards
Here is a coin problem where the algebra learner determines the pair of linear equations needed to solve the system. Whether the equations are taken from a table, or your scholars recognize the format of a coin problem, it is an...
Assessment
Concord Consortium

A Linear System

For Students 9th - 12th Standards
Young mathematicians have the hang of graphing with integer coefficients now. Can they generalize what they've learned to equations with variable coefficients? The task asks individuals to verify the solution to the system is (x,y) and...
Assessment
2
2
Illustrative Mathematics

Cell Phone Plans

For Teachers 8th Standards
Turn your classroom into a local cell phone store. Then, have your cell phone agents use linear equations to visually display three cell plans and their advantages. It makes for a great group project. Discuss how to decide which plan is...
Lesson Plan
Curated OER

Solving Systems of Linear Equations: Elimination Method

For Teachers 9th - 11th
In this linear equation worksheet, students solve systems of equations by using the elimination method. This one-page worksheet contains eight problems, with answers.
Lesson Plan
Curated OER

Solving Systems of Linear Equations

For Teachers 9th - 11th
In this linear equation worksheet, students use the substitution or elimination method to solve systems of equations. There are 20 problems on this two-page worksheet.
Worksheet
Curated OER

Solving Systems of Equations by Graphing

For Students 8th - 10th
In this systems of linear equations worksheet, students graph two equations on each coordinate grid. All systems are linear. One of the systems is parallel. The others have one point of intersection.
Worksheet
Curated OER

Linear Systems: Using Matrix Operations

For Students Higher Ed
In this matrix operations worksheet, students convert a system of linear equations into a matrix. This four-page worksheet contains explanations, examples and four problems.
Worksheet
Curated OER

System of Equations: Elimination Method Using Addition and Subtraction

For Students 8th - 11th Standards
In this system of equations activity, learners decide if the addition, subtraction, or substitution method works best for 15 problems of two equations and two unknowns and then use the preferred method to solve the system. Theys are also...
Worksheet
Curated OER

Math 224: Review of Linear Systems

For Students Higher Ed
In this linear systems worksheet, students find the intersection of two planes, and identify solutions for a linear equation. This two-page worksheet contains five problems.
Assessment
Mathed Up!

Simultaneous Equations with a Quadratic

For Students 9th - 12th
Viewers discover how to solve quadratic-linear systems with a video that first explains the substitution method for solving a system of equations involving a quadratic. Scholars then complete a activity of practice problems.
Worksheet
Curated OER

Systems of Linear Equations

For Students 9th - 12th
In this systems of equations worksheet, students complete 14 multiple choice questions involving systems of equations and finding how many solutions belong to a set of systems.
Lesson Plan
Fredonia State University of New York

Watch Your Step…You May Collide!

For Teachers 8th - 10th Standards
Can two lines intersect at more than one point? Using yarn, create two lines on the floor of the classroom to find out. Cooperative groups work through the process of solving systems of equations using task cards and three different...
Worksheet
Curated OER

Linear Equations

For Students 9th - 11th
In this algebra worksheet, students solve linear equations using one and two steps. They solve systems of equations using substitution and elimination with graphing. There are links for ready made tests and quizzes.
Worksheet
Curated OER

Systems of Equations (Systems Project Part 1)

For Students 9th - 12th
In this systems of equations worksheet, high schoolers identify and explore three ways to solve systems of equations:  graphing, substitution, elimination.  They discuss the strengths, weaknesses, and write an algorithm for...
Worksheet
Curated OER

Linear Equations

For Students 9th - 11th
In this algebra activity, students solve linear equations and graph their answer. They add and subtract integers and compare them using a number line. There are 15 questions with an answer key.
Worksheet
Curated OER

Solving Systems of Equation by Elimination

For Students 9th - 10th
In this algebra worksheet, learners solve systems of equations using elimination or linear combination. There are 24 questions with an answer key.
Lesson Plan
West Contra Costa Unified School District

Solving a System by Substitution

For Teachers 8th - 10th Standards
Solving systems by substitution can be a challenging topic in algebra I. Here is a lesson that builds on students' understanding of intercepts to begin the process of substitution, and all work is reinforced graphically to build...
Assessment
Mathematics Assessment Project

Buying Chips and Candy

For Teachers 6th - 8th Standards
As a middle school assessment task, learners first two write equations representing their purchase of chips and candy bars. They then solve the system of equations to find the price of each item.
Worksheet
Curated OER

Solving Linear Systems by Substitution

For Students 9th
Need a instructional activity to reinforce using substitution to solve linear systems of equations? This one contains 4 problems and plenty of work space. Tip: This would be a great quick review, warm up, or pair exercise.
Worksheet
Curated OER

Systems of Equations

For Students 10th - 12th
For 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.
Lesson Plan
EngageNY

The Defining Equation of a Line

For Teachers 8th Standards
They appear to be different, yet they are the same line. Part 24 out of 33 lessons provides a theorem about the relationships of coefficients of equivalent linear equations. Pupils use the theorem to determine whether two equations are...
Worksheet
Curated OER

Math 212: Review of Linear Systems

For Students Higher Ed
In this linear systems review, students find the intersection of two planes, solve linear systems of equations using matrices, determine the solution set for a linear system. This two-page worksheet contains four problems.
Worksheet
Curated OER

Linear Systems Review for Exam 1

For Students 11th - Higher Ed
In this math worksheet, students practice reviewing for the exam that focuses upon the concept of linear systems. They draw a concept map for the review topics listed.

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