Support students as they learn to solve linear equations with this scaffolded guided worksheet and complete answer key. This resource carefully introduces the concept of keeping equations balanced and using inverse operations to isolate the variable, before gradually moving students through one-step equations, two-step equations, equations with variables on both sides, mixed practice and checking solutions.

Designed for students who benefit from clear modelling and step-by-step support, this worksheet is ideal for explicit instruction, guided practice, independent consolidation, intervention, homework or revision.

Skills Covered

• Understanding what a linear equation is
• Using inverse operations to solve equations
• Solving one-step equations involving addition, subtraction, multiplication and division
• Solving two-step linear equations
• Solving simple equations with variables on both sides
• Showing working clearly and logically
• Substituting solutions back into equations to check answers
• Identifying incorrect solutions and correcting errors

What’s Included

• 6-page printable PDF worksheet
• Clear student-friendly learning goal and key idea
• Worked examples with step-by-step explanations
• Scaffolded guided-practice questions
• Mixed independent practice section
• Checking-solutions activity
• Complete answer key

Suitable For

• Middle school / lower secondary mathematics
• Introductory algebra units
• Students learning to solve equations for the first time
• Support, intervention or revision lessons
• Classwork, homework, relief work or test preparation

This resource helps students move from heavily scaffolded examples to independent problem solving, making it a practical addition to any algebra unit.

Keywords

linear equations worksheet, solving equations, one step equations, two step equations, variables on both sides, algebra worksheet, guided maths worksheet, equations with answers, inverse operations, middle school algebra