Solving A Linear Equation

By: Cassandra Kessler Ed. 205 Sec. 16 Quit

Solving a Linear Equation Definitions Intro Video Steps to Solving a Linear Equation Example 1 Steps to Solving Example 2 Steps to Solving Review Video Practice Problems Answer to Practice Problem 1 Answer to Practice Problem 2 Author’s Page Resources Page Concept Map Quit

Definitions
Linear Equation: a mathematical expression that has an equal sign and linear expressions
Variable: a number that you don’t know, often represented by “x” or “y” but you can use any letter
Linear Expression: a mathematical statement that performs functions of addition, subtraction, multiplication, and division
The variable can’t have exponents, can’t multiply or divide two variables, and can’t find the variable under a square root symbol.
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Intro Video Click to Play Quit

Steps to Solving a Linear Equation
Isolate the terms that contain the variable you wish to solve for.
Isolate the variable you wish to solve for.
Substitute your answer into the original equation and check that it works.
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Example 1 Solve for x if 2x + 4 = 10 Steps to Solving Quit

Isolate “x” to one side of the equation by subtracting 4 from both sides.
Divide both sides by 2.
Check your work with the original equation.
2x + 4 – 4 = 10 – 4
2x = 6
2x/2 = 6x/2
x = 3
2x + 4 = 10
(2 * 3) + 4 = 10
6 + 4 = 10
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Example 2 Solve for x if 3x – 4 = -10 Steps to Solving Quit

Isolate “x” to one side of the equation by adding 4 to both sides.
Check your work in the original equation.
3x – 4 + 4 = -10 + 4
3x = -6
3x/3 = -6/3
x = -2
(3 * -2) – 4 = -10
-6 – 4 = -10
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Review Video Click to Play Quit

Practice Problems
4x – 4 = 8
x + 3^2 = 12
Answer Answer Quit

Answer to Practice Problem 1
Isolate “x” to one side of the equation by adding 4 to each side.
Check your work in your original equation.
4x – 4 + 4 = 8 + 4
4x = 12
4x/4 = 12/4
x = 3
(4 * 3) – 4 = 8
12 – 4 = 8
4x – 4 = 8 Quit Back to Practice Problems

Answer to Practice Problem 2
Square the number.
Subtract both sides by 9.
Check your work in the original equation.
x + 3^2 = 12
x + 9 = 12
x + 9 – 9 = 12 - 9
x = 3
3 + 3^2 = 12
3 + 9 = 12
x + 3^2 = 9 Quit Back to Practice Problems

Resources
Definitions, Examples, and Practice Problems
http://www.studygs.net/equations.htm
Intro and Review Videos
http://player.discoveryeducation.com/index.cfm?guidAssetId=49604D23-FEAE-4AF1-A633-034934CBC384&blnFromSearch=1&productcode=US
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Author’s Page
My name is Cassandra Kessler and I’m a student at Grand Valley State University. I am in my second year and I’m majoring in Mathematics for Secondary Education. I hope to teach Pre-Algebra and Algebra.
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Solving A Linear Equation

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