Simplifying Expressions
Combine like terms and apply distribution to write expressions compactly.
Key idea
Combine like terms and apply distribution to write expressions compactly.
In depth
Simplifying makes an expression shorter without changing its value: expand brackets, combine like terms, and tidy up. The result should be equal for every value of the variable.
Worked example
2(x + 3) + 4x − 5 = 2x + 6 + 4x − 5 = 6x + 1.
Real-world uses
- Cleaning up formulas in physics, finance and programming before using them
Common mistake
Cancelling terms that are added, not multiplied. (x + 3)/3 is not x.
How to learn this
- Read the key idea and say it in your own words.
- Work through the worked example, then try a similar problem.
- Use the interactive lesson’s visual and mini-quiz to check the pattern.
Frequently asked questions
What is Simplifying Expressions?
Combine like terms and apply distribution to write expressions compactly. It is a topic at the beginner level in Algebra.
Where is Simplifying Expressions used in real life?
Real-world examples: Cleaning up formulas in physics, finance and programming before using them.
What should I learn before Simplifying Expressions?
Make sure you are comfortable with Distributive Property, the previous topic in Algebra.
What is a common mistake with Simplifying Expressions?
Cancelling terms that are added, not multiplied. (x + 3)/3 is not x.
How can I practise Simplifying Expressions?
Open the interactive lesson, play with the visual, then answer the three-question mini-quiz. Getting two right marks the topic complete.
What comes after Simplifying Expressions?
Move on to Writing Expressions from Words next.
Related beginner topics in Algebra
- Variables and Expressions – Letters stand for unknown or changing numbers in expressions.
- Evaluating Expressions – Substitute values for variables and simplify.
- Like Terms – Terms with the same variable part can be combined.
- Distributive Property – Multiplication spreads over addition.
- Writing Expressions from Words – Translate phrases like “three more than twice a number” into algebra.
- One-Step Equations – Undo one operation to isolate the variable.