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
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.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: The Intersection of Two Lines

For Teachers 8th Standards
The purpose of this task is to introduce students to systems of equations. It takes skills and concepts that students know up to this point, such as writing the equation of a given line, and uses it to introduce the idea that the...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A rei.c.6: Accurately Weighing Pennies I

For Teachers 9th - 10th
For this problem, students will use the number of decimal places in the coefficients to motivate writing and solving a system of equations. Aligns with A-REI.C.6.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Rei Quinoa Pasta 2

For Teachers 9th - 10th
For this problem, students must determine how much quinoa and how much corn are in a type of pasta. They must study the ingredient list which shows the protein content of the pasta. They know that quinoa has more protein than corn and...
Activity
Interactive Mathematics

Interactive Mathematics: Graphical Solution of Non Linear Systems

For Students 9th - 10th Standards
Using the graphing method, several systems of nonlinear equations are solved. Follow each example step by step to see how solutions are derived.
Activity
Math Medics

S.o.s. Math: Gaussian Elimination

For Students 9th - 10th Standards
In this lesson, the Gaussian Elimination method is used to solve systems of linear equations. Provides several formulas and examples for understanding.
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.
PPT
Sophia Learning

Sophia: Using Elementary Row Operations to Solve for Systems of Equations

For Students 9th - 10th Standards
This lesson presents how to use elementary row operations to solve for a system of linear equations.
Unit Plan
Texas A&M University

Wtamu Virtual Math Lab: College Algebra: Systems of Nonlinear Equations

For Students 9th - 10th Standards
Learn how to solve a system of nonlinear equations using the substitution and the elimination methods. This tutorial offers definitions, problems and step-by-step solutions, and practice exercises for you to complete and check.
Activity
Texas Instruments

Texas Instruments: Simultaneous Equation Solver App

For Teachers 9th - 10th
Students use this App to calculate solutions (a unique solution, no solution, or an infinite number of solutions.unique) for linear systems. They can work with systems that contain both numeric and symbolic coefficients and have up to 30...
Lesson Plan
Khan Academy

Khan Academy: Lsn 13: Systems of Equations, Algebraic and Graphical Representations

For Teachers 9th - 10th Standards
Lesson 3 of 4 for Passport to Advanced Math. Students will solve systems of equations in two variables in which one equation is linear and the other equation is quadratic or another nonlinear equation; relate properties of the function f...
Unit Plan
Khan Academy

Khan Academy: Linear Systems of Equations Capstone

For Students 7th - 8th Standards
Solve systems of equations with any number of solutions using any solution method. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Unknown Type
Khan Academy

Khan Academy: Systems of Equations With Elimination

For Students 9th - 10th Standards
Solve systems of equation with one-step elimination (e.g., x-values or y-values cancel each other out).
Unknown Type
Khan Academy

Khan Academy: Systems of Equations With Elimination Challenge

For Students 9th - 10th Standards
Solve systems of equation with multi-step elimination (e.g., a manipulation is needed in order for x-values or y-values to cancel each other out).
Whiteboard
ClassFlow

Class Flow: Linear Equations Substitution

For Teachers 9th - 10th Standards
[Free Registration/Login Required] In this Flipchart, students are introduced to linear equations, substitutions, and graphing linear equations on a coordinate grid system.
Activity
Help Algebra

Help algebra.com: Substitution Method for Systems

For Students 9th - 10th Standards
Using the Substitution Method, a system of equations is solved. The process is shown in detail and can be used as a reference for solving other systems
Unit Plan
Texas Education Agency

Texas Gateway: Solving Linear Inequalities

For Students 9th - 10th Standards
The student will represent linear inequalities using equations, tables, and graphs. The student will solve linear inequalities using graphs or properties of equality, and determine whether or not a given point is a solution to a linear...
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Linear Inequalities in Two Variables

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] This lesson covers graphing inequalities in two variables.
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: The Linear Combination Method/elimination Method

For Students 9th - 10th
Twenty problems present a variety of practice using the linear combination/elimination method to solve linear systems. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem...
Handout
Interactive Mathematics

Interactive Mathematics: Graphs of Linear Functions

For Students 9th - 10th Standards
A brief overview of three methods used to graph lines is presented through examples. Slope-intercept, point-slope, and intercept form are demonstrated step-by-step along with a review of the formula for finding the slope of a line.
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.
Lesson Plan
Other

Nearpod: Multi Step Equations: A Graphical Approach

For Teachers 9th - 10th
In this lesson on multiple-step equations, students learn how to identify the solutions to linear, quadratic, and systems of equations.
Activity
Texas Instruments

Texas Instruments: Intersection of a Line With a Parabola

For Teachers 9th - 10th
In this activity, students use Computer Algebra System (CAS) tools to find intersections of linear and non-linear equations. They confirm their answers by graphing the equations on the calculator.

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