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.
Charleston School District
Solving Systems with Substitutions
How many large and small watermelons did he sell? Just use the given information to write and solve a system of equations! The two videos accompanying the lesson explain the substitution method and then introduce problem solving. The...
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
Systems of Equations and Inequalities
This is a comprehensive activity 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...
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.
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 activity, students solve verbal problems whose solution requires the use of a system of linear equations. The five page activity contains a combination of thirty-one multiple choice and free response...
Curated OER
Linear Equations
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.
Curated OER
Solving Linear Equations
Use this activity for practice or review solving linear equations in one variable. Problems range from multiple-step problems involving parentheses and combining like terms, to word problems, to equations with no solution or infinitely...
Illustrative Mathematics
The Intersection of Two Lines
Here is an introduction to solving simultaneous linear equations. Start by drawing a line through two points. Create a second line which goes through the intersecting point. Background knowledge of how to find the equation of a line and...
Curated OER
Linear Systems Quiz 3
In this math worksheet, students practice finding the solutions to the linear systems. Then they execute the Gaussian elimination process to complete the quiz.
Curated OER
Non Calculator Simultaneous Equations
Eighth and ninth graders combine pairs of linear equations by multiplying and either adding or subtracting. They find the value of x in the pair of equations. They use substitution to find the value of y. Students use graphing to solve...
Curated OER
Solve Linear Systems of Equations: Graphing, Substitution, and Elimination
In this system of linear equations worksheet, students solve by using graphing, substitution, and elimination. There are 44 problems.
Curated OER
Pairs of Whole Numbers
Mathematical reasoning and linear systems are two of the strategies used to solve this number puzzle. Your learners will enjoy the challenge and the variety of ways to approach this challenge.
EngageNY
Relationships Between Quantities and Reasoning with Equations and Their Graphs
Graphing all kinds of situations in one and two variables is the focus of this detailed unit of daily lessons, teaching notes, and assessments. Learners start with piece-wise functions and work their way through setting up and solving...
Curated OER
Linear Equations
Students solve systems of linear equations by using inverse matrices lead by a class discussion. They write the identities of the matrices given, review, and grade as a class. Students also write the matrix as the product of the...
Curated OER
FCAT Real World Solving Linear Equations/Systems
Pupils relate real life situation to the equations, graphs and inequalities. They model real life scenarios using matrices and draw conclusions from their data. This lesson plan is aligned with FCAT.
Curated OER
Rotation of Tasks for Solving Linear Equations
In this linear systems learning exercise, students solve systems of equations using three different methods: substitution, adding and subtracting, and graphing. This two-page learning exercise contains three multi-step problems.
Curated OER
Math 214: Using Elimination to Solve Linear Equations
In this linear equation worksheet, students explore a system of equations and use elimination system to identify the solution. This two-page worksheet contains three problems.
Curated OER
Thirty-Three Linear Systems of Equations Problems
In this systems of equations worksheet, learners solve thirty-three linear systems of equations. The solutions are provided.
Curated OER
Solving Linear Systems Using Matrices
Start with the definition of a determinant and how to evaluate a 2x2 determinant. Apply this skill to solve systems of two equations with two unknowns by using Cramer's rule. These four basic problems would be good for a quick review or...
Curated OER
Writing and Graphing Linear Equations on a Flat Surface
In this linear equations worksheet, students write the equation of a line with given characteristics. They identify the slope of a line and the y-intercept. Explanations and examples are provided at the beginning of the worksheet. This...
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...
EngageNY
Graphing Systems of Equations
Expand on learners' understanding of quadratic-linear systems. Building on the graphic understanding developed in the previous lesson, pupils learn algebraic methods of solving the systems.