logo
g Text Version
Beauty & Self
Books & Music
Career
Computers
Education
Family
Food & Wine
Health & Fitness
Hobbies & Crafts
Home & Garden
Money
News & Politics
Relationships
Religion & Spirituality
Sports
Travel & Culture
TV & Movies

dailyclick
Bored? Games!
Nutrition
Postcards
Take a Quiz
Rate My Photo

new
Action Movies
Bible Basics
Houseplants
Romance Movies
Creativity
Family Travel
Southwest USA


dailyclick
All times in EST

Autism Spectrum Disorders: 4:00 PM

Full Schedule
g
g Math Site

BellaOnline's Math Editor

g

Algebra - Combining Like Terms


Note: the “^” denotes an exponent; x^3 stands for x to the third power

Terms are the parts that make up an expression such as 5x^ 2 + 3x + 4. 5x^2, 3x and 4 are considered terms. However they are not alike. The examples below show examples of like terms:

5x^2, 6x^2, 3x^2, 9x^2 - They are alike because each term has “x” raised to the second power.

3x, 4x, 5x, 2x, 72x – These are alike because they all have an x variable.

1, 7, 22, 5, 4 – These terms are alike because each term has no variable…also, referred to as constants.


Also keep in mind:
*The numbers in front of the variables are the coefficients. i.e. 4x – “4” is the coefficient and ‘x” is the variable
* A variable without a coefficient has an implied coefficient of 1.

In order to simplify an expression,
1. Combine or group like terms.
2. Add or subtract the coefficients

Example 1:
Simplify: 4x – 6 – 2y + 3x + 14 + 5y + 8

1. Combine/Group like terms
4x + 3x -2y + 5y – 6 + 14 + 8

2. Add or Subtract the coeffiecients
7x +3y + 16

Thus, 4x – 6 – 2y + 3x + 14 + 5y + 8 = 7x +3y + 16


Example 2:
Simplify the expression: 4(x – 5) + 3x

1. Use the distributive property
4x – 20 + 3x

2. Combine/Group like terms
4x + 3x + 20

3. Add or Subtract Coefficients
7x +20

Thus, 4(x – 5) + 3x = 7x +20


Example 3:
Simply the expression: 6x^2 – 3(x – 5x^2)

1. Use the distributive property
6x^2 – 3x – 15x^2

2. Combine/Group like terms
6x^2 – 15x^2 -3x

3. Add or Subtract Coefficients
-9x^2 – 3x

Thus, 6x^2 – 3(x – 5x^2) = -9x^2 – 3x


Add Algebra+%2D+Combining+Like+Terms to Twitter Add Algebra+%2D+Combining+Like+Terms to Facebook Add Algebra+%2D+Combining+Like+Terms to MySpace Add Algebra+%2D+Combining+Like+Terms to Del.icio.us Digg Algebra+%2D+Combining+Like+Terms Add Algebra+%2D+Combining+Like+Terms to Yahoo My Web Add Algebra+%2D+Combining+Like+Terms to Google Bookmarks Add Algebra+%2D+Combining+Like+Terms to Stumbleupon Add Algebra+%2D+Combining+Like+Terms to Reddit




Introducing Algebra - Unknown Variables
How to Find the Slope
Mastering Essential Math Skills
RSS
Related Articles
Editor's Picks Articles
Top Ten Articles
Previous Features
Site Map


For FREE email updates, subscribe to the Math Newsletter


Past Issues


print
Printer Friendly
bookmark
Bookmark
tell friend
Tell a Friend
forum
Forum
email
Email Editor


Content copyright © 2014 by Beverly Mackie. All rights reserved.
This content was written by Beverly Mackie. If you wish to use this content in any manner, you need written permission. Contact Beverly Mackie for details.

g


g features
Travel Games

Math MOOC - Free Online Math Courses - Self-Paced

Interactive App for Student Engagement

Archives | Site Map

forum
Forum
email
Contact

Past Issues
memberscenter


vote
Poetry
Daily
Weekly
Monthly
Less than Monthly



BellaOnline on Facebook
g


| About BellaOnline | Privacy Policy | Advertising | Become an Editor |
Website copyright © 2014 Minerva WebWorks LLC. All rights reserved.


BellaOnline Editor