Lesson Plan
Illustrative Mathematics

Fixing the Furnace

For Teachers 7th - 9th Standards
This comprehensive resource applies simultaneous equations to a real-life problem. Though the commentary starts with a graph, some home consumers may choose to begin with a table. A graph does aid learners to visualize the shift of one...
Worksheet
Curated OER

Writing and Graphing Linear Equations on a Flat Surface

For Students 8th - 10th
In this linear equations activity, 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 activity. This...
Lesson Plan
1
1
Curated OER

Linear Inequalities

For Teachers 10th - 12th Standards
Through exploration of linear programming through graphs and equations of inequalities, students relate linear programming to real life scenarios, such as business. Graphing and shading is also part of this exercise.
Worksheet
Curated OER

Linear Systems: Linear Equations, Vectors and Matrices

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

Linear Systems and Quadratics

For Students 9th - 11th
In this algebra worksheet, students solve quadratic equations and linear equations. They graph their points and identify where the 2 intersect. There are 10 questions with an answer key.
Worksheet
Curated OER

Systems of linear equations

For Students 9th - 11th
In this Algebra I/Algebra II activity, students use systems of linear equations in two variables to solve verbal problems.  The four page activity contains a combination of ten multiple choice and free response questions....
Lesson Plan
Curated OER

MA 371 - Linear Equations 1

For Teachers 12th - Higher Ed
For 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...
Worksheet
Curated OER

Linear Equations

For Students 9th - 11th
In this algebra worksheet, students solve linear equations and graph their answer. They add and subtract integers and compare them using a number line. There are 15 questions with an answer key.
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.
Handout
Charleston School District

Solving Systems with Substitutions

For Students 8th - 9th Standards
How many large and small watermelons did he sell? Just use the given information to write and solve a system of equations! The two videos accompanying the lesson explain the substitution method and then introduce problem solving. The...
Worksheet
Curated OER

Solving Linear Systems by Linear Combinations

For Students 9th - 12th Standards
This worksheet offers six problems to practice solving simultaneous equations using the method of elimination. Start with systems that require multiplying only one of the equations. Then move to systems which require multiplying both...
Worksheet
Curated OER

Solving Linear Systems by Graphing

For Students 9th - 12th Standards
A worksheet that offers four problems to practice solving simultaneous equations by graphing. Equations are presented in slope-intercept form or standard form. Problems include two with unique solutions, one with no solution, and one...
Worksheet
Curated OER

Investigation: Linear Quadratic Systems

For Students 9th - 12th
Investigate linear quadratic systems and pose this question: Do all linear quadratic systems have two solutions? Do they all have a solution? Learners solve systems of equations through graphing. They indicate the points of intersection...
Assessment
Mathed Up!

Simultaneous Equations

For Students 8th - 11th
How do you solve systems of linear equations? Scholars watch a video to learn how to solve systems using elimination-combination. After viewing the video, they solve seven systems of equations.
Worksheet
Curated OER

Math 212: Review of Linear Systems

For Students Higher Ed
In this linear systems review, students find the intersection of two planes, solve linear systems of equations using matrices, determine the solution set for a linear system. This two-page worksheet contains four problems.
Lesson Plan
EngageNY

Geometric Interpretations of the Solutions of a Linear System

For Teachers 8th Standards
An intersection is more than just the point where lines intersect; explain this and the meaning of the intersection to your class. The 26th segment in a 33-part series uses graphing to solve systems of equations. Pupils graph linear...
Lesson Plan
West Contra Costa Unified School District

Graphing Systems

For Teachers 7th - 9th Standards
Get hands on with solving systems of equations graphically. A solid lesson plan uses guided practice to show how to solve systems of linear equations. It allows time for sharing ideas and provides a printable matching activity...
Assessment
Concord Consortium

A Linear System

For Students 9th - 12th Standards
Young mathematicians have the hang of graphing with integer coefficients now. Can they generalize what they've learned to equations with variable coefficients? The task asks individuals to verify the solution to the system is (x,y) and...
Worksheet
Curated OER

Linear Programming

For Students 10th - 12th
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...
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.  
Worksheet
Math Worksheets 4 Kids

Point of Intersection Worksheet 2

For Students 8th - 10th Standards
Math wizards rewrite pairs of linear equations in the y-intercept form and graph them on a coordinate plane. They identify where the lines cross, i.e. the point of intersection. There are four questions with coordinate planes for drawing...
Lesson Plan
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Ohio Literacy Resource Center

Solving Systems of Linear Equations Graphing

For Teachers 8th - 10th Standards
Do you need to graph lines to see the point? A thorough lesson plan provides comprehensive instruction focused on solving systems of equations by graphing. Resources include guided practice worksheet, skill practice worksheet,...
Worksheet
Curated OER

Integrated Algebra/Math A Regents Questions: Systems of Equations

For Students 9th - 12th
In this systems of linear equations learning exercise, students solve 18 short answer and multiple choice questions. Students write and solve systems of equations given a word problem.
Worksheet
Curated OER

Math 214: Using Elimination to Solve Linear Equations

For Students 11th - Higher Ed
In this linear equation worksheet, learners explore a system of equations and use elimination system to identify the solution. This two-page worksheet contains three problems.

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