11+ Maths: Forming Expressions and Equations
21 October 2026
Why forming expressions matters
Forming algebraic expressions and equations is a key skill in 11+ maths. It helps children translate word problems into mathematical language, making it easier to solve complex questions.
Turning words into expressions
Start by identifying the unknown in the problem, often called x. Look for words that signal mathematical operations, such as 'times', 'plus', or 'minus'. Build the expression step by step using these clues.
Worked example: forming an expression
If a number is multiplied by 5 and then 3 is added, the expression is 5x + 3.
Forming an equation
An equation is created when two expressions are set as equal. For example, if five times a number plus three equals 18, you write 5x + 3 = 18.
Solving the equation step by step
First, subtract 3 from both sides: 5x + 3 - 3 = 18 - 3. This simplifies to 5x = 15.
Next, divide both sides by 5: 5x ÷ 5 = 15 ÷ 5. This gives x = 3.
The correct answer is x = 3.
Key insight: Practising how to form and solve expressions and equations builds confidence in algebra. This skill prepares children well for the 11+ exam and helps them tackle a range of maths problems with ease.
