Interactive
CK-12 Foundation

Cramer's Rule

For Students 10th - 12th Standards
Use matrices to solve systems of equations. The interactive introduces Cramer's Rule, using determinants of matrices to solve systems of equations. Color coding helps pupils place entries correctly from the system.
Assessment
Concord Consortium

Intersections II

For Students 8th - 12th Standards
How many intersections can two absolute value functions have? Young scholars consider the question and then develop a set of rules that describe the number of solutions a given system will have. Using the parent function and the standard...
Worksheet
Curated OER

Linear Systems: Graphical Interpretation of Vectors

For Students 11th - Higher Ed
In this graphical interpretation of vectors learning exercise, students execute operations of addition and multiplication by a scalar. They sketch results and determine the commutativity of vector addition. This three-page learning...
Worksheet
Curated OER

Linear Systems Class Overview

For Students 11th - Higher Ed
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.
Worksheet
Curated OER

Math 214: Using Elimination to Solve Linear Equations

For Students 11th - Higher Ed
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.
Worksheet
Curated OER

Linear Systems Review Problems

For Students Higher Ed
For this linear systems worksheet, students identify the requirements for two linear systems to have at least one solution. They find a matrix with no zero entries that has the given fully reduced form. Students use row reduction to...
Worksheet
Curated OER

Math 214 Quiz 10 - Linear Systems

For Students Higher Ed
In this linear systems worksheet, students find the parameter of a given matrix, and solve linear systems. This two-page worksheet contains four problems.
Lesson Plan
Curated OER

Solve Linear Systems by Substitution

For Teachers Higher Ed
In this linear systems worksheet, students use the substitution method to solve systems of equations. This one-page worksheet contains two multi-step problems.
Worksheet
Curated OER

Multivariable Calculus: Linear Systems

For Students 11th - Higher Ed
In this linear systems learning exercise, students perform matrix multiplication. This two-page learning exercise contains examples, explanations, definitions, and four problems.
Worksheet
Curated OER

Linear Systems: Using Matrix Operations

For Students Higher Ed
In this matrix operations worksheet, students convert a system of linear equations into a matrix. This four-page worksheet contains explanations, examples and four problems.
Worksheet
Curated OER

Linear Systems: Linear Equations, Vectors and Matrices

For Students Higher Ed
In this vector and matrix learning exercise, students explore matrix notation to represent linear systems. They use geometric interpretations of linear systems. This three-page learning exercise contains three practice problems,...
Worksheet
Curated OER

Linear Systems Review for Exam 1

For Students 11th - Higher Ed
In this math instructional activity, learners practice reviewing for the exam that focuses upon the concept of linear systems. They draw a concept map for the review topics listed.
Worksheet
Curated OER

Linear Systems Quiz 4

For Students 11th - Higher Ed
In this math worksheet, learners review the concepts needed for quiz 4. Then they practice finding the answers to the linear systems using elimination.
Worksheet
Curated OER

Linear Systems Quiz 3

For Students 11th - Higher Ed
In this math worksheet, students practice finding the solutions to the linear systems. Then they execute the Gaussian elimination process to complete the quiz.
Worksheet
Curated OER

Linear Systems Quiz 6

For Students 11th - Higher Ed
In this math activity, students practice finding the solutions for the linear systems in the form of a quiz. They focus upon finding the eigenvalues and eigenvectors of a matrix.
Worksheet
Curated OER

Solving Linear Systems by Substitution #1

For Students 6th
In this problem solving activity, 6th graders work out and solve 4 mathematical equations involving linear systems by substitution #1.
Worksheet
Curated OER

Solving Linear Systems By Graphing

For Students 10th - 12th
In this graphing worksheet, students solve 2 linear systems by graphing the equations on the given x/y axis. They record their answers in the graph.
Worksheet
Curated OER

Solving Linear Systems by Graphing

For Students 9th
In this linear systems worksheet, 9th graders solve and complete 4 different problems by graphing. First, they graph the first equation shown. Then, students graph the second equation on the same coordinate system as the first. They also...
Worksheet
Curated OER

Graphing systems of inequalities

For Students 9th - 12th
In this graphing worksheet, high schoolers graph ten systems of inequalities.  Students are then asked to find the area of the regions.  A challenge problem is included. where high schoolers are asked to find the volume of the...
Interactive
Curated OER

Solving a System Containing Equations and an Inequality

For Students 8th - 10th
In this systems worksheet, students solve a system containing three linear equations and one linear inequality.  The solution is provided.
Worksheet
Curated OER

Applying Linear Algebra to Differential Equations

For Students 11th - Higher Ed
In this math activity, students using linear algebra to find the solutions to the differential equations. The equations are listed in systems.
Worksheet
Curated OER

Solving Systems of Linear Equations in Three Variables

For Students 10th - 12th Standards
Practice solving linear systems of three equations with three unknowns using the elimination method and substitution method. This handout includes graphics of different combinations of intersecting planes to help illustrate the different...
Worksheet
Curated OER

Solving Linear Systems by Substitution

For Students 8th - 11th Standards
Practice solving two equations with two unknowns. Here are five problems for using the substitution method. Included are clear, concise step-by-step instructions for the learner to follow. Problems start out easy and gradually get...
Lesson Plan
Alabama Learning Exchange

Systems on a Mission

For Teachers 6th - 8th Standards
Solve systems of equation problems using four different methods: elimination by addition or subtraction, graphing, elimination by multiplication, and substitution. Middle schoolers are then given a series of "missions" to complete.

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