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Solving Inequalities – Leveled Checking Worksheet

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

Updated Oct 02, 2026

Subject
Math, Algebra
Topic
algebra, equations
Resource types
Worksheets & Printables, Worksheets
Preparation
Print ready

About this resource

What's inside this resource

This is a Solving Inequalities - Leveled 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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Resource details

Concepts & topics

Core concepts

  • Linear inequalities
  • Distributive property
  • Variables on both sides
  • Checking solutions

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