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Solving 2-Step Inequalities MAZE Activity

Twenty two-step inequalities such as -2x + 5 < 17 and 10x - 25 ≤ -25 lead students along a maze trail, where only correctly solved boxes connect start to finish.
Grades
Grade 7, Middle School
File type
PDF
Preparation
Print ready

Updated Mar 31, 2022

Subject
Math, Algebra
Topic
solving inequalities, maze
Resource types
Mazes, Worksheets, Worksheets & Printables
Preparation
Print ready

About this resource

What's inside this resource

This resource was developed to PARTIALLY meet the requirements of the 7th Grade Expressions & Equations Standards below:

CCSS.MATH.CONTENT.7.EE.B.4.B
Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. For example: As a salesperson, you are paid $50 per week plus $3 per sale. This week you want your pay to be at least $100. Write an inequality for the number of sales you need to make, and describe the solutions.

In the classroom

Teaching tips & learning objectives

Learning objectives

  • Solve two-step inequalities of the form px + q > r or px + q < r by applying inverse operations in the correct order.

  • Reverse the inequality symbol when multiplying or dividing both sides by a negative number.

  • Verify a solution's correctness by checking whether it produces a continuous, connected path through the maze.

Teaching tips

  • Have students complete the separate work-space page first, since it lists all twenty starting inequalities with room to show each step before they trace the maze.

  • Use the built-in self-checking design as a formative check: a broken or dead-end trail through the maze tells a student immediately that one of their solutions is wrong.

  • Pull out the negative-coefficient problems, like -9x + 1 > -44 and -2x + 5 < 17, for a short warm-up on reversing the inequality symbol before assigning the full maze.

Skills covered

  • Two-step inequality solving — students isolate the variable in problems such as x/4 - 8 < 2 and 1/2x - 14 ≥ -12 using two inverse operations in sequence.

  • Inequality symbol reversal — several maze boxes require dividing or multiplying by a negative coefficient (e.g., -9x + 1 > -44), testing whether students correctly flip the inequality direction.

  • Self-verification through maze logic — students confirm their own accuracy by checking whether their solved boxes form one continuous trail from Start to the exit.

Good to know

Questions teachers ask about this resource

Where can students show their work for each inequality before tracing the maze?

A dedicated second page lists all twenty starting inequalities again with blank space beneath each one, separate from the maze grid itself, so students can work each problem out step by step before marking their path.

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