AQA•GCSE•Mathematics•Algebra
Simplifying expressions
AQA GCSE Mathematics practice questions with step-by-step solutions
Start Practicing Now
Generate unlimited Simplifying expressions questions. Choose your difficulty level, get instant feedback, and master this topic.
Unlimited questionsDetailed solutionsAQA exam style
Sample Questions
Try before you startPreview AQA GCSE style questions on Simplifying expressions. Click "Show Solution" to see the step-by-step answer.
EasyQuestion 1
[2 marks]Simplify:
5x + 3y - 2x + 7y
Solution for Question 1
MediumQuestion 2
[2 marks]Simplify:
4a²b × 3ab³
Solution for Question 2
HardQuestion 3
[3 marks]Simplify fully:
18x⁴y²
────────
6x²y⁵
Solution for Question 3
Want more questions like these?
Generate Unlimited QuestionsAbout Simplifying expressions in AQA GCSE
Simplifying expressions means writing them in the shortest equivalent form. Collect like terms (terms with identical letter parts) by adding or subtracting their coefficients. 3x + 5x = 8x, but 3x + 5y cannot be simplified further.
For terms with powers, remember that only identical powers can be combined: 2x² + 3x² = 5x², but 2x² + 3x stays as is. When multiplying, add the powers: x³ × x² = x⁵. When dividing, subtract powers: x⁵ ÷ x² = x³.
Watch for hidden like terms: 4ab and 3ba are like terms because ab = ba (multiplication is commutative). Similarly, -2xy and 5yx can be combined to give 3xy.
What you'll practice
Exam-style questions matching the AQA specification, from basic to challenging
How it works
AI generates unique questions each time, with full worked solutions and mark schemes