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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...
Illustrative Mathematics
Dimes and Quarters
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...
Concord Consortium
A Linear System
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...
Illustrative Mathematics
Cell Phone Plans
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...
Curated OER
Solving Systems of Linear Equations: Elimination Method
In this linear equation worksheet, students solve systems of equations by using the elimination method. This one-page worksheet contains eight problems, with answers.
Curated OER
Solving Systems of Linear Equations
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.
Curated OER
Solving Systems of Equations by Graphing
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.
Curated OER
Linear Systems: Using Matrix Operations
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.
Curated OER
System of Equations: Elimination Method Using Addition and Subtraction
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...
Curated OER
Math 224: Review of Linear Systems
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.
Mathed Up!
Simultaneous Equations with a Quadratic
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.
Curated OER
Systems of Linear Equations
In this systems of equations worksheet, learners complete 14 multiple choice questions involving systems of equations and finding how many solutions belong to a set of systems.
Fredonia State University of New York
Watch Your Step…You May Collide!
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...
Curated OER
Linear Equations
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.
Curated OER
Systems of Equations (Systems Project Part 1)
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...
Curated OER
Linear Equations
In this algebra worksheet, 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.
Curated OER
Solving Systems of Equation by Elimination
In this algebra worksheet, students solve systems of equations using elimination or linear combination. There are 24 questions with an answer key.
West Contra Costa Unified School District
Solving a System by Substitution
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...
Mathematics Assessment Project
Buying Chips and Candy
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.
Curated OER
Solving Linear Systems by Substitution
Need a worksheet 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.
Curated OER
Systems of Equations
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.
EngageNY
The Defining Equation of a Line
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...
Curated OER
Math 212: Review of Linear Systems
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.
Curated OER
Linear Systems Review for Exam 1
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.