Solving A Linear Equation
16
By: Cassandra Kessler Ed. 205 Sec. 16 Quit
description
An interactive powerpoint presentation on how to solve a linear equation.
Transcript of Solving A Linear Equation
By: Cassandra Kessler
Ed. 205 Sec. 16
Quit
Solving a Linear EquationDefinitions
Intro Video
Steps to Solving a Linear Equation
Example 1Steps to Solving
Example 2Steps to Solving
Review Video
Practice ProblemsAnswer to Practice Problem 1Answer 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 divisionThe variable can’t have exponents, can’t
multiply or divide two variables, and can’t find the variable under a square root symbol.
Quit
Intro Video
Click to Play
Quit
Steps to Solving a Linear Equation1. Isolate the terms that contain the
variable you wish to solve for.
2. Isolate the variable you wish to solve for.
3. Substitute your answer into the original equation and check that it works.
Quit
Example 1
Solve for x if 2x + 4 = 10
Steps to Solving
Quit
1. Isolate “x” to one side of the equation by subtracting 4 from both sides.
2. Divide both sides by 2.
3. 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
Quit
Example 2
Solve for x if3x – 4 = -10
Steps to Solving
Quit
1. Isolate “x” to one side of the equation by adding 4 to both sides.
2. Divide both sides by 3.
3. 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
Quit
Review Video
Click to Play
Quit
Practice Problems
1. 4x – 4 = 8
2. x + 3^2 = 12
Answer
Answer
Quit
Answer to Practice Problem 1
1. Isolate “x” to one side of the equation by adding 4 to each side.
2. Divide both sides by 4.
3. Check your work in your original equation.
4x – 4 + 4 = 8 + 44x = 12
4x/4 = 12/4x = 3
(4 * 3) – 4 = 812 – 4 = 8
4x – 4 = 8
Quit
Back to Practice Problem
s
Answer to Practice Problem 2
1. Square the number.
2. Subtract both sides by 9.
3. 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 Problem
s
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
Quit
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.
Quit
