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Lesson Plan
EngageNY

Solution Sets to Equations with Two Variables

For Students 9th - 10th Standards
Can an equation have an infinite number of solutions? Allow your class to discover the relationship between the input and output variables in a two-variable equation. Class members explore the concept through tables and graphs and...
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Interactive
PHET

Equality Explorer: Two Variables

For Students 6th - 12th Standards
Solving equations in two variables can't be that much harder than solving equations in one variable. Using a balance interactive, scholars solve equations in two variables. They apply inverse operations by adding -x, -y, or -1 as...
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Lesson Plan
EngageNY

The Graph of a Linear Equation in Two Variables

For Teachers 8th Standards
Add more points on the graph ... and it still remains a line! The 13th installment in a series of 33 leads the class to the understanding that the graph of linear equation is a line. Pupils find several solutions to a two-variable linear...
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Lesson Plan
EngageNY

Linear Equations in Two Variables

For Teachers 8th Standards
Create tables of solutions of linear equations. A lesson plan has pupils determine solutions for two-variable equations using tables. The class members graph the points on a coordinate graph. 
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Lesson Plan
EngageNY

The Graph of a Linear Equation in Two Variables Is a Line

For Teachers 8th Standards
Show your class that linear equations produce graphs of lines. The 20th segment in a unit of 33 provides proof that the graph of a two-variable linear equation is a line. Scholars graph linear equations using two points, either from...
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Lesson Plan
Curated OER

Two Variable Linear Equations

For Teachers 9th - 10th
Everything you need to teach a lesson on two variable linear equations is right here. Objective, vocabulary, tech tips videos, and multiple downloadable files are all included. Learners will use the TI-Nspire technology to determine the...
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Lesson Plan
Curated OER

Graphing and Interpreting Linear Equations in Two Variables

For Teachers 7th - 9th
Graph linear equations using a table of values. Learners solve equations in two variables using standard form of an equation. They identify the relationship between x and y values.
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Lesson Plan
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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
Curated OER

Linear Inequalities in Two Variables

For Teachers 9th - 12th Standards
Graph and solve linear equations in two variables. The class relates the concepts of linear equations to the real world.
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Worksheet
Curated OER

Section 2.1 & 2.2 Solving Equations

For Students 7th - 10th
This two page worksheet contains 32 problems to solve. There are examples given for each set of problems. The first set is to work on adding or subtracting a term to get the variable by itself. The second set is about dividing both sides...
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Lesson Plan
EngageNY

Some Facts About Graphs of Linear Equations in Two Variables

For Teachers 8th Standards
Develop another way to find the equation of a line. The instructional activity introduces the procedure to find the equation of a line given two points on the line. Pupils determine the two points from the graph of the line.
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Lesson Plan
EngageNY

Linear Systems in Three Variables

For Students 10th - 12th Standards
Put all that algebra learning to use! Using algebraic strategies, learners solve three-variable systems. They then use the three-variable systems to write a quadratic equation given three points on the parabola.
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Lesson Plan
Curated OER

Two-Variable Linear Inequalities

For Teachers 9th - 11th
Here is an engaging lesson on solving equations with two variables. Have the class rewrite linear equations in the slope intercept form, y=mx + b. They graph the lines using the slope and y-intercepts.
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Worksheet
Curated OER

Two-Step Equations with Decimals

For Students 8th - 9th
In this two-step equation worksheet, students use two-steps to solve for the unknown. Problems involving using addition, subtraction addition, and multiplication. This worksheet contains 18 problems and does contain an answer key.
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Lesson Plan
Mathematics Assessment Project

Solving Linear Equations in Two Variables

For Teachers 9th - 12th Standards
Solving problems about pen and paper with systems of equations ... or is it the other way around? In the lesson, learners first interpret expressions and use equations in two variables to solve problems about notebooks and pens. They...
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Worksheet
Lorain County Community College

Solving Equations Using the Division Property

For Students 6th - 9th Standards
Go from easy to challenging with a worksheet full of different problems designed for solving equations. Your mathematicians will be able to start small with one- and two-step equations and work their way up to multi-step equations. The...
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Interactive
CK-12 Foundation

Two-Step Equations with Addition and Multiplication: T-Shirt Equation

For Students 7th - 10th Standards
Interactive bar models make solving equations fairly easy. Scholars use an interactive to adjust a bar model representing an equation. This model helps solve the equation.
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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
Lorain County Community College

Solving Linear Equations in One Variable

For Students 7th - 10th Standards
Multiple-step problems don't have to equal tough problems. This instructional activity provides a list of steps needed to go through multi-step equations that include combining like terms and distributing. With ten problems total, your...
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Lesson Plan
EngageNY

One-Step Equations—Multiplication and Division

For Teachers 6th Standards
Discover one more step to being able to solve any one-step equation. Scholars continue their work with one-step equations in the 28th installment of a 36-part module. Tape diagrams and algebraic processes introduce how to solve one-step...
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Lesson Plan
Curated OER

Graphing Linear Equations with Two Variables

For Teachers 9th - 11th
Can your class solve linear equations in two variables? They will be able to after they engage in this lesson. Individuals graph linear equations in two variables using slope and intercept and identifying the relationship between the x...
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Lesson Plan
Curated OER

Linear Inequalities in One and Two Variables: Rays and Half Planes

For Teachers 9th - 12th Standards
Define rays and half planes, including the concepts of boundary lines and prerequisite knowledge of coordinate planes. Given linear inequalities in one and two variables, your class will compare the differences. They will also graph...
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PPT
BW Walch

Creating and Graphing Linear Equations in Two Variables

For Teachers 9th - 10th Standards
This detailed presentation starts with a review of using key components to graph a line. It then quickly moves into new territory of taking these important parts and teasing them out of a word problem. Special care is taken to discuss...
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Worksheet
Curated OER

Solving Two-Step Equations

For Students 8th - 10th
In this two-step equations worksheet, students solve two-step algebraic equations.  Equations contain one variable, multiplication and division steps. This one-page worksheet contains 15 problems.  Answers are provided.