11+ Maths: Algebra Basics
21 October 2026

What is algebra
Algebra introduces letters to stand for numbers. It helps children spot patterns and solve problems where something is unknown. In the 11+ exam, algebra questions check if your child can use these ideas with confidence.


Key algebra concepts
The basics include variables (letters like x or y), terms (parts of an expression, such as 3x or 5), and equations (statements where two sides are equal). Children need to understand how to write, simplify, and solve simple equations.
Solving simple equations
To solve an equation, we find the value of the variable that makes the statement true. This usually means working step by step to get the letter on its own.


Worked example
3x + 5 = 20
First, write the equation: 3x + 5 = 20
Next, subtract 5 from both sides: 3x + 5 - 5 = 20 - 5
This gives 3x = 15
Now, divide both sides by 3: 3x ÷ 3 = 15 ÷ 3
So x = 5
The correct answer is x = 5.
Key insight: mastering the steps
Understanding each step in solving equations helps children feel more confident with algebra. Breaking problems down and practising these basics is the best way to build strong 11+ skills.


Supporting your child
Regular practice with basic algebra questions helps children get used to the style seen in the 11+ exam. Work through examples together and use available resources for extra support.


