# Linear System Teacher Resources

Find Linear System lesson plans and worksheets
Showing 1 - 24 of 87 resources
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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...
1 In 1 Collection
EngageNY

#### Another Computational Model of Solving a Linear System

For Teachers 8th Standards
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...
Lesson Planet

#### 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...
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#### Multivariable Calculus: Review of Linear Systems

For Students 11th - Higher Ed
In this linear system worksheet, students determine the point of intersection between two lines, they complete linear combination problems. This two-page worksheet contains four multi-step problems.
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#### Seven Advanced Algebra Problem Sets

For Students 11th - 12th
In this advanced algebra worksheet, students solve seven problem sets covering: linear equations, arithmetic sequence, slope, point-slope, median, linear system, substitution method and the elimination method.
Lesson Planet

#### 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...
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#### 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.
EngageNY

#### Why Are Vectors Useful? 2

For Teachers 11th - 12th Standards
Investigate the application of vector transformations applied to linear systems. Individuals use vectors to transform a linear system translating the solution to the origin. They apply their understanding of vectors, matrices,...
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#### More or Less the Same

For Teachers 8th - 10th Standards
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...
Lesson Planet

#### Module 10: Matrices Revisited

For Students 10th - 12th Standards
A matrix is just a fancy way of making a table. Young scholars explore operations with matrices with the first lessons in the final module of a 10-unit Algebra II series. After adding, subtracting, and multiplying matrices, pupils use...
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#### Systems of Equations

For Students 8th - 11th Standards
Now that learners figured out how to solve for one variable, why not add another? The lesson demonstrates, through examples, how to solve a linear system using graphing, substitution, and elimination.
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#### Sandwich Shop

For Students 9th - 12th Standards
Eat up the task on systems of equations. Given information on the total number of sandwiches and the total income, learners write and solve a linear system of equations to find the number of each type of sandwich sold at a shop. They...
Lesson Planet

#### Graphs of Linear Systems: Heart Rate Tracker

For Students 8th - 10th Standards
Max out heart rates for males and females. Formulas of maximum heart rates provide the equations for a linear system. Pupils use the interactive to graph the equations for males and females and determine their points of intersection. The...
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#### Linear Systems with Addition and Subtraction: Fill in the Boxes 1

For Students 8th - 10th Standards
Eliminate a color by dragging shapes. The interactive provides a graphical color display that allows for pupils to solve a linear system by elimination. Learners combine figures following set rules for positive and negative shapes. The...
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#### Bagels or Donuts

For Students 9th - 12th Standards
Explore business problems through mathematical analysis. The task has individuals write and graph a linear system to determine the best business model. They use their models to answer a series of questions that help to make a conclusion.
5:04
Lesson Planet

#### Age Word Problems as a System of Two Equations

For Students 9th - 12th Standards
Utilize linear systems to solve age-related word problems. The video tutorial shows how to write and solve a linear system from a set of given information. After solving the system, the instructor explains how to examine the solution for...
Lesson Planet

#### 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.
3:15
Lesson Planet

#### System of Two Equations with Subscripts

For Students 9th - 12th Standards
Show how variables with subscripts are equivalent to those without through a video that shows an example of a linear system with subscripted variables. The instructor uses elimination to solve the system.
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#### Linear Systems and Echelon Forms

For Teachers 11th
Eleventh graders define various types of linear systems and three types of solutions. In this linear system and echelon forms lesson, 11th graders solve a linear system using elementary row operations. Students also describe the set of...
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#### Solution Sets and Linear Independence of Vectors

For Teachers 11th
Eleventh graders study homogeneous linear systems. In this linear system of equations instructional activity, 11th graders write linear system solutions in parametric vector form. Students also identify the connection between linear...
6:29
Lesson Planet

#### How Do You Solve a System of Inequalities by Graphing?

For Teachers 6th - 12th
You've got a linear system of inequalities? You need to solve it by graphing? No sweat. Make sure that each equation is in slope-intercept form and then graph each equation. Is it a solid line or a dashed line? Which side of the line...
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#### Linear Systems: Least Squares Approximations

For Students Higher Ed
In this least squares approximation activity, students determine the number of solutions a given linear system has. They find the least square error and the equation of a line of best fit for a set of three points. Students find the...
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#### Chickens and Pigs Intro to Systems

For Teachers 8th - 12th
Students evaluate linear systems. In this linear systems activity, students analyze a word problem. Students solve the problem using a linear system.
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#### Solving Linear Systems by Substitution

For Students 9th
Need a activity 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.