Interactive
Curated OER

Example and Steps to Solving Linear Systems Using Substitution

For Students 8th - 11th
In this linear equation activity, students solve five systems of linear equations using the substitution method.  Three examples with steps to solve are provided.
Worksheet
Curated OER

System of Equations: Elimination Method Using Addition and Subtraction

For Students 8th - 11th Standards
In this system of equations worksheet, learners decide if the addition, subtraction, or substitution method works best for 15 problems of two equations and two unknowns and then use the preferred method to solve the system. Theys are...
Worksheet
Curated OER

Linear Systems: Matrix Operations

For Students Higher Ed
For this matrix operations worksheet, students perform matrix addition and multiplication. This two-page worksheet contains six problems. Definitions, examples and explanations are also provided.
Assessment
Inside Mathematics

Picking Apples

For Teachers 8th Standards
Getting the best pick of the apples depends on where to pick. The short assessment presents a situation in which class members must analyze a real-world situation to determine the cost of picking apples. The pricing structures resemble...
Assessment
Concord Consortium

Systematic Solution II

For Students 10th - 11th Standards
Up the difficulty level by solving a system of equations with variable coefficients. Young scholars devise a plan to solve for x and y in terms of a and b. They represent their solutions as expressions and explain their...
Handout
Cabrillo College

Elementary Algebra

For Students 8th - 11th Standards
Hello Algebra! If you're in need of a resource with a books worth of examples and practice problems, this is it. Some topics include linear equations, polynomials and exponents, rational expressions, quadratic equations, and a...
Worksheet
Curated OER

Algebra II: Chapter 7 Test - Systems of Equations

For Students 9th - 12th
In this systems of equations instructional activity, high schoolers solve systems of equations, systems of inequalities, and linear equations.  They read word problems and write a system of equations that depicts the problem. ...
Worksheet
Curated OER

Twenty-Four Linear Systems Solved Using Substitution and Elimination

For Students 10th - 12th
In this solving linear systems worksheet, students solve twenty-four systems using the substitution and elimination methods.  Definitions and examples are provided.
Worksheet
Curated OER

Multivariable Calculus: Review of Linear Systems

For Students 11th - Higher Ed
In this linear system worksheet, learners determine the point of intersection between two lines, they complete linear combination problems. This two-page worksheet contains four multi-step problems.
Worksheet
Curated OER

Multivariable Calculus: Linear Systems

For Students 12th - Higher Ed
In this linear system worksheet, students compute the determinant of a given matrix. They solve systems of equations and compute the inverse of a matrix. This two-page worksheet contains examples, explanations, and three multi-step...
Worksheet
Curated OER

Math 214 Quiz 8 - Linear Systems

For Students Higher Ed
In this linear system worksheet, students consider the linear system under given parameters. They identify the solution set of a matrix under given cases. This two-page worksheet contains three problems.
Worksheet
Curated OER

Linear Systems: The Determinant

For Students Higher Ed
In this determinant activity, students find the determinants of matrices. They identify patterns and their relationship to the canonical matrix. This two-page activity contains approximately nine problems, as well as examples and...
Assessment
Mathematics Assessment Project

Buying Chips and Candy

For Teachers 6th - 8th Standards
As a middle school assessment task, learners first two write equations representing their purchase of chips and candy bars. They then solve the system of equations to find the price of each item.
Assessment
Curated OER

Hot Under The Collar

For Teachers 7th - 9th Standards
Pupils try to get a collar on temperature with a short assessment item that asks them to compare two different methods in converting Celsius to Fahrenheit. Individuals try to find out when an estimation provides conversions that are...
Worksheet
Curated OER

MT-A314 Introduction to Linear Algebra Worksheet 1.4(b)

For Students 10th - 11th
A linear algebra worksheet where pupils explore three linear equations and use Gaussain elimination to solve the system of equations. They identify values that have no solution, one solution, and many solutions. There is one open-ended,...
Worksheet
Curated OER

Quadratic-Linear Systems 2: Solve Systems of Equations Involving One Linear Equation and One Quadratic Equation Algebraically

For Students 10th - 12th
In this solving systems of quadratic and linear equations, students complete three problems. The first problem asks students to solve a system of two equations. One of the equations is a quadratic and the other is linear. The second two...
Worksheet
Curated OER

Analysis of Interactive Methods for Solving Linear Systems

For Students Higher Ed
For this interactive method worksheet, students use several methods to solve iterations and generate solutions for the function. This four-page worksheet contains approximately ten problems.
Worksheet
Curated OER

Linear Systems: Reduced Row Echelon Matrix and Rank

For Students Higher Ed
Students find the nullspace of the three matrices by finding the reduced row echelon matrix for each in this activity. They convert three matrices to reduced row echelons and show they have only one pivot. Students find the rank of three...
Worksheet
Curated OER

Linear Systems/ LU Decomposition

For Students 11th - Higher Ed
In this math instructional activity, learners find the values by factoring a matrix A into the product of a lower triangular matrix L. They also make it into an upper matrix U.
Worksheet
Curated OER

Addition to Solve System of Linear Equations

For Students 8th - 9th
In this algebra worksheet, students solve system systems of equation. They use addition to solve the problems. There are 6 questions with an answer key.
Worksheet
Curated OER

Thirty-Three Linear Systems of Equations Problems

For Students 8th - 10th
In this systems of equations worksheet, students solve thirty-three linear systems of equations.  The solutions are provided.  
Handout
Charleston School District

Graphing with Slope-Intercept Form

For Students 8th - 9th Standards
Work on graphing linear equations using the provided materials. The print and video lesson thoroughly review the concepts related to graphing linear equations in slope-intercept and standard form. The materials prepare learners for...
Assessment
1
1
Illustrative Mathematics

Solving Two Equations in Two Unknowns

For Students 8th - 10th Standards
More than just a one-problem resource, learners must explain their answer and incorporate a writing component to mathematical thinking. The resource also includes an explanation of the solution to help with the reasoning. 
Assessment
Mathematics Assessment Project

Baseball Jerseys

For Teachers 6th - 8th Standards
Batter up! As an assessment task, learners write linear functions to model the cost of baseball jerseys. They then determine which of two companies would charge a cheaper rate to buy baseball jerseys.

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