The Lesson
Like terms can be collected together to simplify an expression in algebra. Collecting like terms can make a long, complicated expression into a short, simple one.How to Collect Like Terms in Algebra
Collecting like terms is easy.Question
Simplify the expression below by collecting like terms.Step-by-Step:
1
Identify the like terms.
Read more about identifying the like terms.
- Identify the x terms: x, 5x and x.
- Identify the y terms: 3y and -y.
- Identify the number terms: 2.
Read more about identifying the like terms.
2
Collect the like terms together.
Bring the x terms next to each other. Bring the y terms next to each other. Bring the number terms next to each other.
Don't forget: When you collect like terms, bring the sign in front of the term with it.
3
Add and/or subtract the like terms together.
- Add the x terms together:
- Subtract the y terms from each other:
- Add the number terms together. In our example, there is only one number term.
4
Put the expression together.
The expression has become:
Answer:
We have collected the like terms to simplify the expression:x + 3y + 5x + 2 − y + 2
= 7x + 2y + 2