Simplifying Expressions Worksheet

Simplifying expressions at a glance

Simplifying expressions starts by learning how to collect like terms in linear expressions. This is mostly done with addition and subtraction of the coefficients. Coefficients tend to be integers, but they can be decimals or fractions. This extends to simplifying expressions with different exponents (indices) such as squares and cubes.

Another skill that is linked to simplifying an expression is expanding brackets. Here we use the distributive property over multiplication of a single bracket and expanding double brackets. Expanding double brackets usually results in a quadratic expression.

Understanding the order of operations and negative numbers are also useful for this topic.

Simplifying algebraic expressions moves onto factorising expressions which is the reverse of expanding brackets. This then allows for simplification of algebraic fractions by using common factors of the numerator and denominator to cancel.

Looking forward, students can then progress to additional simplifying expressions worksheets and on to more algebra worksheets, for example a sequences worksheet, simultaneous equations worksheet or straight line graphs worksheet.

For more teaching and learning support on Algebra our GCSE maths lessons provide step by step support for all GCSE maths concepts. Topics include algebraic expressions, linear equations, quadratic equations and algebraic fractions.