MATHEMATICSAlgebra
Expressions
x
y
a
● Learning Path Verified 11+
Expressions
Write, simplify, and manipulate algebraic expressions using letters.
Interactive Learning
Step-by-step modules — click through at your own pace
Module Progress
1 / 4 explored
Like Terms
Writing Expressions
Expanding Brackets
Factorising Basics
Visual Simplifier
Watch like terms animate together
Expression
3x
+2x
Worked Examples
Worked Example
Simplify 3x + 2x − x
1
3x + 2x − x
Start with the original expression.
Quick Check
Quick Check1 / 3
Simplify 4x + 3x
What you'll learn
Core 11+ exam skills
Collecting Like Terms
Develop foundational techniques logically.
Writing Expressions
Apply mathematical rules to varying scenarios.
Expanding Brackets
Learn to track calculations dynamically.
Factorising Basics
Verify accuracy and solve efficiently.
Core Framework
The mechanics of Expressions
Like Terms
You can only add/subtract identical letters (3x + 2x = 5x).
Invisible Multiplication
3a means 3 × a.
Expanding
Multiply the term outside by everything inside the bracket.
Factorising
Find the HCF and put it outside the bracket.
Key Facts to Remember
💡
Letters just represent unknown numbers.
🔄
x + x = 2x, but x × x = x².
➕
You cannot add x and y together to get xy.
➖
Algebra is just arithmetic with unknown numbers.
Ready to practise?
Choose your mode