NavGanitMateby NavGreen Compute, AustraliaBased on Australian Curriculum: Mathematics v9.0

Year 8 Simplifying linear expressions practice

Choose from 27 available worksheets below. Try an answer first, use an optional hint if needed, then compare your reasoning with the worked solution.

Understand the topic

Like terms have the same variable part. Combine their coefficients, keeping constant terms separate. The distributive law helps remove brackets.

Worked example

Simplify 3(x + 2) + 2x − 4. Expand to get 3x + 6 + 2x − 4, then combine like terms: 5x + 2.

Common mistake to avoid

Multiply every term inside the brackets. Terms such as x and x² are not like terms and cannot be combined by adding coefficients.

Available worksheets

Recorded curriculum references: AC9M8A01, VC2M8A01. Individual worksheets retain their curriculum details.

For related topics, return to Year 8 maths.