Curated OER
MA 371 - Linear Equations 1
In this linear equations worksheet, students solve 8 short answer problems. Students write augmented matrices given a system of equations in two and three variables. Students express their answers using an augmented matrix in reduced row...
Curated OER
Writing and Graphing Linear Equations on a Flat Surface
In this linear equations worksheet, students write the equation of a line with given characteristics. They identify the slope of a line and the y-intercept. Explanations and examples are provided at the beginning of the worksheet. This...
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 Programming
Students explore inequalities to determine the optimal solution to maximize a profit for a company. In this linear programming lesson, students discover how to graph inequalities and how to determine the algebraic representation of a...
Charleston School District
Solving Systems Graphically
When guess and check gets old, it's time to start graphing! An instructive lesson explains how to solve a system of linear equations using graphing. Equations are in both slope-intercepts and standard form.
Curated OER
Linear Systems
In this linear systems worksheet, students solve and complete 10 different problems that include writing each as a linear equation. First, they write the systems of linear equations represented by each matrix equation. Then, students...
Curated OER
Linear Programming
In this linear programming worksheet, students solve and complete 6 different word problems related to programming. First, they define the variables in each problem and write a system of inequalities. Then, students graph the...
Curated OER
GSE Foundations of Algebra: Equations and Inequalities
Need lessons on writing and solving one- and two-step linear equations and inequalities, as well as systems of equations? This comprehensive 106-page module from the Georgia Department of Education contains many different lessons for a...
Curated OER
Solving Linear Systems by Substitution
Need a worksheet to reinforce using substitution to solve linear systems of equations? This one contains 4 problems and plenty of work space. Tip: This would be a great quick review, warm up, or pair exercise.
Curated OER
Comparing Value for Money: Baseball Jerseys
Learners step up to the plate as they first complete an assessment task using linear equations to determine the best company from which to buy baseball jerseys. They then evaluate provided sample responses identifying strengths and...
Curated OER
Solving Linear Systems by Graphing #4
In this problem solving worksheet, 6th graders solve 4 sets of linear system equations involving addition and subtractions by graphing out the answers to each equation.
Curated OER
Solving Systems by Elimination
Students review solving absolute value equations. They watch as the teacher demonstrates solving a system of linear equations by addition. Students practice working problems by multiplying to obtain opposite cooefficients, and then...
Curated OER
Integrated Algebra Practice: Systems of Linear Equation Word Problems
In this systems of equations worksheet, high schoolers solve 10 short answer problems. Students write and solve systems of equations given a word problem.
Curated OER
Graphing Linear Equations
In this math worksheet, students practice solving systems of linear equations using the elimination and substitution methods. They also graph the solutions.
EngageNY
The Defining Equation of a Line
They appear to be different, yet they are the same line. Part 24 out of 33 lessons provides a theorem about the relationships of coefficients of equivalent linear equations. Pupils use the theorem to determine whether two equations are...
Curated OER
Simultaneous Equations
In this simultaneous equations worksheet, pupils solve systems of equations. They graph systems of equations and write equations to fit given situations. This two-page worksheet contains three multi-step problems.
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
Solve Linear Systems of Equations: Graphing, Substitution, and Elimination
In this system of linear equations worksheet, students solve by using graphing, substitution, and elimination. There are 44 problems.
Curated OER
Real World Systems of Linear Equations
Students solve systems of equations with fluency. In this algebra activity, students graph, use elimination and substitution to solve systems of equations. They identify the point of intersection using algebra.
Curated OER
Parallel, Perpendicular and Intersecting Lines
In this relationship of lines learning exercise, students decide if 8 pairs of linear equations will create lines that are parallel, perpendicular, or intersecting.
Charleston School District
Solving Systems by Inspection
Can you solve a system by just looking at it? The previous lessons in the series taught three methods of solving systems of equations. Now learners discover they can determine the number of solutions of a system just by looking at it....
Curated OER
Systems of Linear Equations
In this systems of equations worksheet, students complete 14 multiple choice questions involving systems of equations and finding how many solutions belong to a set of systems.
Curated OER
Linear Systems Class Overview
For 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
Linear Systems Review Problems
In 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...