Mathematics Vision Project
Module 5: Systems of Equations and Inequalities
Systems of equations and inequalities model contextual situations. A set of 12 lessons build a solid understanding of writing and solving systems of equations and inequalities using a variety of methods. The module is the fifth in a...
Illustrative Mathematics
The Intersection of Two Lines
Here is an introduction to solving simultaneous linear equations. Start by drawing a line through two points. Create a second line which goes through the intersecting point. Background knowledge of how to find the equation of a line and...
Curated OER
Linear Systems: Matrix Inverse
In this linear systems activity students multiply matrices and find the coefficient matrix in the upper-triangular form. This four-page activity contains approximately four problems, with examples and explanations.
Curated OER
Linear Systems Review Problems
In this linear systems 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 reduction to...
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 Graphing
In this linear systems activity, 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
Solving Linear Systems by Substitution #1
In this problem solving worksheet, 6th graders work out and solve 4 mathematical equations involving linear systems by substitution #1.
Curated OER
Solving Linear Systems By Graphing
In this graphing worksheet, 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 worksheet, students perform matrix multiplication. This two-page worksheet contains examples, explanations, definitions, and four problems.
Curated OER
Linear Systems Review for Exam 1
In this math worksheet, students 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 4
In this math worksheet, students review the concepts needed for quiz 4. Then they practice finding the answers to the linear systems using elimination.
Curated OER
Linear Systems Quiz 3
In this math worksheet, students practice finding the solutions to the linear systems. Then they execute the Gaussian elimination process to complete the quiz.
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.
Curated OER
Non Calculator Simultaneous Equations
Eighth and ninth graders combine pairs of linear equations by multiplying and either adding or subtracting. They find the value of x in the pair of equations. They use substitution to find the value of y. Students use graphing to solve...
Curated OER
Pairs of Whole Numbers
Mathematical reasoning and linear systems are two of the strategies used to solve this number puzzle. Your learners will enjoy the challenge and the variety of ways to approach this challenge.
Curated OER
Linear Equations
Students solve systems of linear equations by using inverse matrices lead by a class discussion. They write the identities of the matrices given, review, and grade as a class. Students also write the matrix as the product of the...
Curated OER
Solving Linear Systems by Substitution
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 more...
Curated OER
Linear Systems: Linear Equations
In this linear systems worksheet, students use a matrix to represent linear systems. This four page worksheet provides examples, explanations and approximately eight problems to complete.
Curated OER
Linear Systems: Linear Equations, Vectors and Matrices
In this matrices worksheet, students write matrix notation to represent linear systems. This four-page worksheet contains approximately 15 problems.
Curated OER
Linear Equations
In this algebra worksheet, students solve linear equations using one and two steps. They solve systems of equations using substitution and elimination with graphing. There are links for ready made tests and quizzes.
EngageNY
Another Computational Model of Solving a Linear System
The process of elimination really works! Use elimination when substitution isn't doing the job. The 29th segment in a series of 33 introduces the elimination method to solving linear systems. Pupils work several exercises to grasp the...
EngageNY
Graphing Systems of Equations
Expand on learners' understanding of quadratic-linear systems. Building on the graphic understanding developed in the previous lesson, pupils learn algebraic methods of solving the systems.
Illustrative Mathematics
Dimes and Quarters
Here is a coin problem where the algebra learner determines the pair of linear equations needed to solve the system. Whether the equations are taken from a table, or your scholars recognize the format of a coin problem, it is an...
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