Math Medics
S.o.s. Math: Application of Determinant to Systems: Cramer's Rule
This lesson explains how the determinant is used for Cramer's Rule.
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Math Graphs
Houghton Mifflin: Math Graphs: Elimination Method 23 [Pdf]
Students label the graphs of two linear equations and then solve the system. The graphs are available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Elimination Method 24 [Pdf]
Students label the graphs of two linear equations and then solve the system. The graphs are available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Elimination Method 25 [Pdf]
Two equations are simplified by adding them or subtracting them to solve the linear equations. The practice problem is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Elimination Method 26 [Pdf]
Two equations are simplified by adding them or subtracting them to solve the linear equations. The practice problem is available in PDF format.
Illustrative Mathematics
Illustrative Mathematics: A Rei, a Ced Cash Box
In this task, students are asked to construct equations in two variables to determine whether a loose coin beside a ticket box belongs with the money collected for tickets. They must then explain their reasoning. Aligns with A-CED.A and...
Illustrative Mathematics
Illustrative Mathematics: A rei.c and a rei.a.1: Products and Reciprocals
The purpose of this task is to test student skills at converting verbal statements into two algebraic equations and then solving those equations. Aligns with A-REI.A.1 and A-REI.C.
Illustrative Mathematics
Illustrative Mathematics: The Intersection of Two Lines
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...
CK-12 Foundation
Ck 12: Algebra: Testing Solutions for Linear Inequalities
[Free Registration/Login may be required to access all resource tools.] Write and solve linear inequalities.
Paul Dawkins
Paul's Online Notes: Augmented Matrices
Here are good examples of the Gauss-Jordan elimination method to solve systems of equations.
Texas Instruments
Texas Instruments: Boats in Motion
In this lesson, students make observations about the motion of a boat going up and down the river. They will solve the system of equations algebraically and graphically.
Khan Academy
Khan Academy: Interpret Equations Graphically
Practice the connection between the graphical representation of equations and their algebraic solutions.
Sophia Learning
Sophia: Using Elementary Row Operations to Solve Systems of Equations: Lesson 4
This lesson presents how to use elementary row operations to solve for a system of linear equations. It is 4 of 4 in the series titled "Using Elementary Row Operations to Solve for Systems of Equations."
Illustrative Mathematics
Illustrative Mathematics: A Rei Solution Sets
For this task, students are shown the graphs of two equations, with areas bounded by their lines and intersections shaded in different colors. They are asked to write a system of equations or inequalities for each shaded area and explain...
Illustrative Mathematics
Illustrative Mathematics: A Rei the Circle and the Line
Students are required to solve a system of equations in this task which will demonstrate their understanding of the correspondence between intersection points of the two graphs and solutions of the system. Aligns with A-REI.C.7.
CK-12 Foundation
Ck 12: Algebra: Families of Lines
[Free Registration/Login may be required to access all resource tools.] Learn how to express families of linear equations.
Richland Community College
Richland Community College: Math 116 Lecture Notes
This site from the Richland Community College provides the detailed lecture notes to a college algebra course, complete with equations and definitions. Content ranges from "functions and their graphs" to "conics and parametric equations."
Interactive Mathematics
Interactive Mathematics: Algebraic Solutions of Systems
Nonlinear systems are solved using the algebraic methods of substitution and addition/subtraction. Learn how these methods work through detailed examples.
Purple Math
Purplemath: Cramer's Rule
Cramer's Rule for solving a system of equations is presented here using an example of a system in three variables with three equations. The "everything," approach of solving for all three variables is shown as well as the "selective,"...
Math Graphs
Houghton Mifflin: Math Graphs: Elimination Method 9 [Pdf]
The exercise has learners identify the graphs of two linear equations and then solve the system of equations using the elimination method. The practice problem is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Elimination Method 10 [Pdf]
The exercise has learners identify the graphs of two linear equations and then solve the system of equations using the elimination method. The practice problem is available in PDF format.
Texas A&M University
Wtamu Virtual Math Lab: College Algebra: Systems of Nonlinear Equations
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.
Khan Academy
Khan Academy: Lsn 13: Systems of Equations, Algebraic and Graphical Representations
Lesson 3 of 4 for Passport to Advanced Math. Learners 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...
University of Georgia
University of Georgia: Slope of Lines
This site provides a detailed unit on finding the slope of lines that investigates methods for solving systems of equations. Good lesson plan for class.