Simplifying algebraic expressions
Use this page to review like terms and simplification before testing a similar expression in the solver tool.
What this topic means and what to look for first.
Simplifying expressions means writing them in the shortest equivalent algebraic form.
You can only combine like terms that have the same variable part.
One reliable route through the topic.
- 1List the terms clearly.
- 2Group the like terms together.
- 3Add or subtract the coefficients.
- 4Write the simplified expression in a tidy order.
See the method in action.
Simplify 3x + 4x - 2
- The like terms are 3x and 4x.
- Add them to get 7x.
- So the final answer is 7x - 2.
Simplify 5a - 2a + 6 - 1
- Combine the a terms to get 3a.
- Combine the constants to get 5.
- So the final answer is 3a + 5.
Things that commonly send the method off track.
- Trying to combine unlike terms such as x and x^2.
- Mixing the signs when subtracting coefficients.
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Want to try a similar problem yourself?
Create a free account if you want to use the solver beta after reading the guide.
A free account is the current follow-up route for returning to the solver beta and future guide updates as the public library grows.
Extra algebra revision resources
If you want more printed algebra practice after this page, these broader searches are a sensible next step.
Amazon
Algebra workbook and revision book search
Useful if you want more equation, factorising, and worked-example practice in one printed source.
View Algebra workbook and revision book searchAmazon
GCSE algebra practice resources search
A wider GCSE-style search if you want more mixed algebra questions beyond one online guide.
View GCSE algebra practice resources searchFound this useful?
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Short answers worth checking.
Terms are like terms when the variable part matches exactly, including the same power.
Yes. Constants can always be combined with other constants.
Continue with the next closely related topic.
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