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Lesson Plan
EngageNY

Introduction to Simultaneous Equations

For Teachers 8th Standards
Create an understanding of solving problems that require more than one equation. The lesson introduces the concept of systems of linear equations by using a familiar situation of constant rate problems. Pupils compare the graphs of...
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Worksheet
Kuta Software

Equations in Standard Form - Solving Systems by Graphing

For Students 9th - 12th Standards
Get to graphing and figure out the solution between two lines using this 14-problem worksheet. Graphs are provided for the first eight problems, but requires learners to graph the remaining six separately.
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Lesson Plan
Curated OER

Systems of Equations in Two Variables

For Teachers 8th - 9th
In this algebra worksheet, students work with pairs of linear equations. Three problems ask students to determine if the given ordered pair is a solution of the system of equations. Students graph two systems to determine the solution.
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Assessment
Inside Mathematics

Graphs (2006)

For Teachers 9th - 12th Standards
When told to describe a line, do your pupils list its color, length, and which side is high or low? Use a worksheet that engages scholars to properly label line graphs. It then requests two applied reasoning answers.
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Assessment
Concord Consortium

"Equal" Equations

For Students 7th - 12th Standards
Different equations, same solution. Scholars first find a system with equations y1 and y2 that have a given solution. They then find a different system with equations y3 and y4 that have the same solution. The ultimate goal is to...
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Worksheet
Curated OER

Solving a System of Linear and Quadratic Equations

For Students 11th
In this Algebra II activity, 11th graders use graphing to solve a system of equations in which one equation is linear and the other is quadratic.  The three page activity contains a combination of nine multiple choice and free response...
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Lesson Plan
Illustrative Mathematics

Two Lines

For Teachers 7th - 9th Standards
Here is a resource that helps your algebra learners understand the connection between the graph of two lines, the equations of lines, and the solutions and intersecting points of lines. It would make a great assessment question, but can...
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Worksheet
Curated OER

Non Calculator Simultaneous Equations

For Students 8th - 9th
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...
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Lesson Plan
EngageNY

When Can We Reverse a Transformation? 1

For Teachers 11th - 12th Standards
Wait, let's start over — teach your class how to return to the beginning. The first instructional activity looking at inverse matrices introduces the concept of being able to undo a matrix transformation. Learners work with matrices with...
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Worksheet
Curated OER

Algebra II: Chapter 7 Test - Systems of Equations

For Students 9th - 12th
In this systems of equations worksheet, students solve systems of equations, systems of inequalities, and linear equations.  They read word problems and write a system of equations that depicts the problem.  this two-page worksheet...
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Worksheet
Curated OER

Graphing Systems of Equations

For Students 9th - 11th
In this systems of equations worksheet, students use graphs to solve systems of equations. They determine if the equation contains one solution, no solution, or many solutions. This one-page worksheet contains ten problems.
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Worksheet
Curated OER

Systems of Equations

For Students 9th
In this graphing systems of equations worksheet, 9th graders solve and complete 9 different problems. First, they graph each system of equations on the coordinate grids provided. Then, students state their solutions.
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Worksheet
Curated OER

Systems of Equations

For Students 9th
In this solving systems of equations worksheet, 9th graders solve and complete 6 different problems by graphing each one. First, they determine where the lines are located if a system of two equations has no solution. Then, students...
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Lesson Plan
Curated OER

Solving Nonlinear Systems of Equations

For Teachers 10th - 11th
In this system of equations worksheet, students solve nonlinear systems of equations using the substitution method. An example of how to solve is given prior to the assignment. Twenty problems are available on this two-page worksheet.
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Worksheet
Curated OER

Using Systems of Equations

For Students 8th - 10th
In this algebra learning exercise, students solve systems of equations. They use substitution, elimination and graphing to solve. There are 33 questions with an answer key.
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Lesson Plan
1
1
Illustrative Mathematics

The Intersection of Two Lines

For Teachers 7th - 9th Standards
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...
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Lesson Plan
West Contra Costa Unified School District

Solving a System by Substitution

For Teachers 8th - 10th Standards
Solving systems by substitution can be a challenging topic in algebra I. Here is a lesson that builds on students' understanding of intercepts to begin the process of substitution, and all work is reinforced graphically to build...
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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...
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Worksheet
Curated OER

Solving Systems of Equations

For Students 9th - 11th
In this systems of equations worksheet, students use a graphing calculator to solve systems of equations. Examples and step-by-step instructions for using the graphing calculator are provided. This two-page worksheet contains two...
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Worksheet
Curated OER

Systems of Equations

For Students 7th - 10th
For this algebra worksheet, learners factor systems of equations using elimination and substitution. THey graph their lines and find the point of intersection. There are 15 questions.
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Worksheet
CPM

Using Equal Values Method or Substitution

For Students 8th - 9th Standards
Math whizzes solve and complete 20 different problems. Problems are solved using the substitute, or the equal values method. Learners also create their own systems of equations based on word problems. 
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Worksheet
Curated OER

Systems of Equations 2

For Students 9th
In this systems of equations worksheet, 9th graders solve and graph 9 different problems that apply the systems of equations. First, they solve each system of equations by using the graphing method. Then, students write the solution for...
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Workbook
1
1
University of Utah

Simultaneous Linear Equations

For Students 8th Standards
Solve simultaneous linear equations, otherwise known as systems of linear equations. Pupils practice solving systems of linear equations by graphing, substitution, and elimination. The workbook provides a class activity and homework for...
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Lesson Plan
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...

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