The LessonLike 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 AlgebraCollecting like terms is easy.
QuestionSimplify the expression below by collecting like terms.
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.
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.
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