Simplifying Expressions - Levelled Checking Worksheet

Twelve expressions to simplify by distributing and combining like terms, in four levelled sets: answer-bank matching in Sets A and B, a proposed simplification to check in Set C and independent work in Set D.
Year levels
Years 9–12
File type
PDF
Preparation
Print ready

Updated Oct 26, 2026

Subject
Algebra, Maths
Topic
Simplifying, Expressions
Resource types
Worksheets
Preparation
Print ready

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About this resource

Simplifying Expressions - Levelled Checking Worksheet is a maths resource that provides practice simplifying algebraic expressions. Students will simplify expressions by combining like terms, distributing, and using other algebraic properties. This self-checking worksheet includes 4 sets across multiple levels so students can practise skills at their own pace. Sets A and B have students match their simplified expressions to an answer bank. Set C has students analyse and correct proposed solutions. Set D requires students to show their work simplifying completely on their own. With built-in feedback and answer keys, this worksheet supports differentiated instruction and independent practice for Years 9–12. Use it for whole-class review, small group remediation, or as a homework assignment to give students extra practice simplifying algebraic expressions.

In the classroom

Teaching tips & learning objectives

Learning objectives

  • Simplify one-variable expressions by distributing and combining like terms

  • Decide whether a proposed simplification is correct and explain the error

Teaching tips

  • Because the sets move from answer-bank matching to fully independent work, students can start at the set that matches their current skill.

Skills covered

  • Error analysis — checking another person's simplification in Set C and showing the correct work

  • Combining like terms — simplifying expressions after distributing

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