Solving Inequalities – Levelled Checking Worksheet

Multi-step linear inequalities with distribution and variables on both sides, such as -2(2x - 4) + 1 > 3x - 5, arranged in four levelled sets of three problems.
Year levels
Years 9–12
File type
PDF
Preparation
Print ready

Updated Oct 19, 2026

Subject
Algebra, Maths
Topic
Algebra, Equations
Resource types
Worksheets
Preparation
Print ready
Australian Curriculum content descriptions
AC9M10A02 — solve linear inequalities and simultaneous linear…

From the author

About this resource

This is a Solving Inequalities - Levelled Checking Worksheet.

There are 4 sets with 3 problems each.

For Sets A and B, students will complete each problem and match it to an answer in the “Answer Bank.” Then they will write the corresponding letter in the appropriate spot.

For Set C, a proposed answer is given. They will determine if the proposed Set C: answer is correct or incorrect and show all work that led them to their decision.

For Set D, they will complete each problem and show all their work.

Answer keys included.

In the classroom

Teaching tips & learning objectives

Learning objectives

  • Solve multi-step linear inequalities, including those with distribution

  • Decide whether a proposed solution to an inequality is correct and justify the decision

Teaching tips

  • Set C works well as a checkpoint: students who cannot explain why a proposed answer is wrong may need another look at Sets A and B before Set D.

Skills covered

  • Error analysis — judging a proposed inequality solution and showing the work behind the verdict

  • Multi-step solving — isolating the variable when it appears on both sides

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Australian Curriculum (Version 9.0)

Australian Curriculum content descriptions

Australian Curriculum content descriptions

  • AC9M10A02 — solve linear inequalities and simultaneous linear equations in 2 variables; interpret solutions graphically and communicate solutions in terms of the situation

Core concepts

  • Linear inequalities

  • Distributive property

  • Checking solutions

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