Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 8.ee How Many Solutions?

For Teachers 8th Standards
Eighth graders are given a linear equation and instructed to find a second linear equation in order to make a system of equations that fits different criteria related to its possible solutions. Aligns with 8.EE.C.8.
Activity
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: Sistemas De Ecuaciones Lineales

For Students 9th - 10th Standards
In Spanish. Learn the algebraic language to represent and solve systems of two linear equations with two unknowns.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Writing and Solving a Matrix Equation

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] This lesson covers using a matrix equation to solve a system of linear equations.
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Other

University of Wisconsin: Basic Algebra

For Students 9th - 10th Standards
This college site offers a variety of problems and answers. Problems are divided into topic areas for easy access. Also offers quizzes with each topic.
Whiteboard
ClassFlow

Class Flow: Solving Systems by Graphing

For Teachers 9th - 10th Standards
[Free Registration/Login Required] Students will learn how to estimate what the solution to a system of linear equation is by graphing.
Whiteboard
ClassFlow

Class Flow: Applications of Linear Systems

For Teachers 9th - 10th Standards
[Free Registration/Login Required] Students will learn how to use the best method to solve a system of linear equations and will use systems of linear equations to model real-life problems.
Activity
Other

Stony Brook University: Solving Linear Equations

For Students 9th - 10th Standards
The name linear comes from the fact that such an equation in two unknowns or variables represents a straight line. A set of such equations is called a system. This site explains all this and more.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Linear Systems With Addition or Subtraction

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] This lesson covers solving a system by adding the two equations together to eliminate a variable.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Consistent and Inconsistent Linear Systems

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] This lesson covers solving systems with substitution when there is no or infinitely many solutions.
Activity
Government of Alberta

Learn Alberta: Linear Systems Graph

For Students 9th - 10th
Learn Alberta helps students visually explore various solutions of systems of two linear equations by allowing students to manipulate lines and view their numeric and graphic solution(s) or absence. The applet identifies the solutions as...
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Solving Systems by Multiplying Both Equations

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] This lesson covers solving systems by multiplying both equations by a constant to eliminate a variable.
Unit Plan
Khan Academy

Khan Academy: Lesson: Solving Linear Equations and Linear Inequalities

For Students 9th - 10th Standards
In this lesson, we'll learn to: Solve linear equations, Solve linear inequalities,and Recognize the conditions under which a linear equation has one solution, no solution, and infinitely many solutions.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A rei.c.6: Find a System

For Teachers 9th - 10th
The purpose of this task is to encourage students to think critically about both the algebraic and graphical interpretation of systems of linear equations. Aligns with A-REI.C.6.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Forms of Linear Equations

For Students 8th - 9th Standards
[Free Registration/Login may be required to access all resource tools.] Learn how to work with linear equations in standard form.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Rei Pairs of Whole Numbers

For Teachers 9th - 10th
The premise of this problem is simple - students must find three whole numbers with three different sums when they are added in pairs. To do this, they set up a system of linear equations in three variables. Aligns with A-REI.C.6.
Unit Plan
Other

Math Portal: Row Reduction Method

For Students 10th - 12th
A step by step of how to solve systems of linear equations using the row reduction method.
Activity
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: The Matrix of a System and Row Operations

For Students 9th - 10th Standards
The tutorial examines the matrix of a system and row operations. Students learn about the concepts through class notes, examples, and practice problems. Topics include a system of linear equations and augmented matrices. Review exercises...
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Linear Programming

For Students 9th - 10th
[Free Registration/Login may be required to access all resource tools.] Given a set of constraints, graph and solve linear problems.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Linear Systems With Multiplication

For Students 8th - 9th Standards
[Free Registration/Login may be required to access all resource tools.] Solve linear systems using multiplication.
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Washington State University

Washington State University: Sample Problems From Intermediate Algebra

For Students 9th - 10th
Check for college math readiness using this problem sampler. Problems cover high school algebra topics, including linear and quadratic equations, factoring, radicals, rational expressions, synthetic division, complex numbers and more....
Article
Math Planet

Math Planet: The Substitution Method for Solving Linear Systems

For Students 9th - 10th
A way to solve a linear system algebraically is to use the substitution method. The substitution method functions by substituting the one y-value with the other. This resource explains this method by showing an example along with a video.
Handout
Other

Morgan State: Linear Algebraic Equations and Matrices

For Students 9th - 10th Standards
This site gives information on linear equations and matrices. Among the topics discussed are the substitution method, Gauss-Jordan Elimination Method, matrix operations, matrix multiplication, and inverse matrices.
Activity
National Council of Teachers of Mathematics

The Math Forum: Math Library Maple

For Students 9th - 10th
This site from The Math Forum provides links to sites that relate to solving linear equations by using Maple and other techniques. This site contains on line text books for higer math courses.
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Other

Hsor.org: Frankfurter High: Hot Dog Sales

For Teachers 9th - 10th
Determine the number of hot dogs needed in order to make a profit with little waste. Adobe required.

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