Curated OER
Linear Systems: Linear Equations, Vectors and Matrices
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,...
Curated OER
Linear Systems Class Overview
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.
Curated OER
Solving Linear Systems by Graphing
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...
Curated OER
Math 214 Quiz 10 - Linear Systems
In this linear systems worksheet, students find the parameter of a given matrix, and solve linear systems. This two-page worksheet contains four problems.
Curated OER
Solve Linear Systems by Substitution
In this linear systems worksheet, students use the substitution method to solve systems of equations. This one-page worksheet contains two multi-step problems.
Curated OER
Solving Linear Systems by Substitution #1
In this problem solving activity, 6th graders work out and solve 4 mathematical equations involving linear systems by substitution #1.
Curated OER
Linear Systems Review Problems
In this linear systems instructional activity, 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...
Curated OER
Solving Linear Systems By Graphing
In this graphing learning exercise, learners solve 2 linear systems by graphing the equations on the given x/y axis. They record their answers in the graph.
Curated OER
Multivariable Calculus: Linear Systems
In this linear systems activity, students perform matrix multiplication. This two-page activity contains examples, explanations, definitions, and four problems.
Curated OER
Linear Systems Quiz 4
In this math worksheet, learners review the concepts needed for quiz 4. Then they practice finding the answers to the linear systems using elimination.
Curated OER
Linear Systems: Using Matrix Operations
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.
Curated OER
Linear Systems Review for Exam 1
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.
Curated OER
Linear Systems Quiz 6
In this math worksheet, 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.
5280 Math
More or Less the Same
Tell the story of the math. Given a graph of a linear system, learners write a story that models the graph before crafting the corresponding functions. Graphs intersect at an estimated point, allowing for different variations in the...
Illustrative Mathematics
Summer Swimming
Here is a real-world application for systems of equations. When is it better to pay an enrollment fee and lower daily rate, and when is it better to pay the regular price? The local swim center is having a special offer, reductions in...
EngageNY
End-of-Module Assessment Task - Algebra 2 (Module 1)
A series of assessment tasks require learners to process information and communicate solutions. Topics include graphing parabolas, solving linear-quadratic systems, factoring polynomials, and solving polynomial equations.
Curated OER
Two-Variable Linear Inequalities
Here is an engaging instructional activity on solving equations with two variables. Have the class rewrite linear equations in the slope intercept form, y=mx + b. They graph the lines using the slope and y-intercepts.
Curated OER
Balanced Systems of Equations
Students solve equations. In this algebra instructional activity, students relate solving equations to a balanced scale. They add, subtract, multiply and divide on both sides to keep the scale balanced.
Curated OER
Conic Sections and Nonlinear Systems of Equations
For this conic sections and nonlinear equations worksheet, students solve 25 multiple choice problems. The worksheet is a review of the conic sections and nonlinear systems chapter of an intermediate algebra course, so the topics vary...
EngageNY
Solving Equations Involving Linear Transformations of the Coordinate Plane
How can matrices help us solve linear systems? Learners explore this question as they apply their understanding of transformation matrices to linear systems. They discover the inverse matrix and use it to solve the matrix equation...
Curated OER
Peter's Third String
Explore the solution to a word problem involving area and perimeter. Learners read and discuss how to approach the problem. In small groups, they determine the maximum area of a rectangle with a given perimeter using a piece of string....
Curated OER
Podcasting Parabolas
Students explore parabolas. In this algebra and technology lesson, students construct the equation of a specific parabola, then take digital photos of real-life representations of these parabolas. Students create a podcast...
CK-12 Foundation
Direct Variation: Value of a Painting
Help your pupils find a pattern of direct variation. Young scholars use input-output pairs to find a constant of variation and then write the equation. As they build their equations, the interactive lesson provides feedback.
Curated OER
Solving Systems of Linear Equations in Three Variables
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...