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...
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
Graphing Linear Equations on the TI-73
Eighth graders work in pairs with a TI-73 graphing calculator to complete a multiple-choice review using the Classroom Performance System. Each team uses a remote unit to "click in" the answers. When all teams have completed the review,...
CK-12 Foundation
Linear Systems with Addition and Subtraction: Fill in the Boxes 1
Eliminate a color by dragging shapes. The interactive provides a graphical color display that allows for pupils to solve a linear system by elimination. Learners combine figures following set rules for positive and negative shapes. The...
Curated OER
Integrated Algebra/Math A Regents Questions: Systems of Quadratic/Linear Equations
In this system of equations worksheet, students solve 5 graphing and short answer problems. Students graph quadratic and linear systems of equations to find the solutions to the system.
Math Mammoth
Solving Linear Systems by Elimination
In this linear equation instructional activity, students solve systems of linear equations by elimination. Four of the 15 provided problems are word problems that students must write the system of equations. This is a one-page...
Curated OER
Making Connections: Matrices, Graph, Linear Systems
In this set of activities, matrices and equations are explored. They work with matrices using pen and paper as well as graphing calculator. Additionally real-world problems are explored.
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
Linear Systems and Calories
Young scholars define and graph properties of linear equations. In this algebra lesson, students write systems of equations to represent functions. They relate linear equations to the real world.
West Contra Costa Unified School District
Linear-Quadratic Systems
Why do I have to learn two different ways to solve linear-quadratic systems? Isn't one way enough? Learners first investigate the three possible situations for linear-quadratic systems (two, one, or zero solutions), then solve such...
Curated OER
Linear Systems Class Overview
In this math worksheet, students find the solutions to the problems using the linear systems of equations. The sheet is a list of review topics.
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.
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
Linear Systems
In this linear systems worksheet, learners solve and complete 10 different problems that include writing each as a linear equation. First, they write the systems of linear equations represented by each matrix equation. Then, students...
Curated OER
Math 224: Review of Linear Systems
In this linear systems activity, students find the intersection of two planes, and identify solutions for a linear equation. This two-page activity contains five problems.
Curated OER
Numerical Analysis: Successive Over-Relaxation for Linear Systems
In this successive linear systems worksheet, students use a matrix representation of iterative schemes for linear systems. They define a positive definite matrix and explore the Kahan Theorem. This two-page worksheet contains...
Curated OER
Algebraic Solutions to Linear Systems
In this algebraic solutions worksheet, students explore linear equations. They use algebra to solve linear systems of equations. This one-page worksheet contains ten problems.
EngageNY
Systems of Equations
What do you get when you cross a circle and a line? One, two, or maybe no solutions! Teach learners to find solutions of quadratic and linear systems. Connect the visual representation of the graph to the abstract algebraic methods.
Curated OER
Systems of Equations and Inequalities
This is a comprehensive lesson on creating and solving equations and systems of equations and inequalities. Problems range from basic linear equations to more complex systems of equations and inequalities based on a real-world examples....
CK-12 Foundation
Graphs of Linear Systems: Heart Rate Tracker
Max out heart rates for males and females. Formulas of maximum heart rates provide the equations for a linear system. Pupils use the interactive to graph the equations for males and females and determine their points of intersection. The...
CK-12 Foundation
Applications of Linear Systems: Alcohol Solution in Nursing
Solve alcohol systems to find the right solution. The interactive allows pupils to manipulate the amount of a solution and displays the total amount in a mixture. Individuals determine the amount of each solution needed to make 15 liters...
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 Linear Systems by Graphing #4
In this problem solving activity, 6th graders solve 4 sets of linear system equations involving addition and subtractions by graphing out the answers to each equation.
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