About this worksheet

This free Year 7 two-step equations worksheet is written for the Western Australian curriculum and mapped to SCSA content description WA7MNALE1. It targets one skill so students can practise until it sticks: by the end, students can say “I can solve linear equations with up to two operations using the balance model or backtracking, and verify my solution.”

What’s inside

• Key idea box – a short explanation with worked examples to read before starting.
• A · Fluency (16 questions) – quick practice to build accuracy.
• B · Core (10 questions) – worded problems set in everyday Australian contexts.
• C · Reasoning (4 questions) – explain, justify and spot the error.
• D · Challenge (4 questions) – harder multi-step and problem-solving questions for students ready to stretch.
• Separate marking key – every answer with working, plus mark allocations and marking criteria for reasoning questions.

Skills covered

• Solving two-step equations by backtracking
• Using the balance model
• Writing and solving equations from real situations

How to use this worksheet

Start with the Key idea box, then complete Section A without a calculator. Most students should attempt Sections B and C; Section D suits students aiming for the top of the class or preparing for accelerated or extension maths. The worksheet is marked out of 55, and the score box on the last page helps students see which section needs more practice.

Common mistakes to watch for

• Undoing operations in the wrong order
• Dividing only one term
• Forgetting to verify the solution
• Mis-setting up the equation from words

Where this fits in the WA Year 7 sequence

Solving Two-Step Equations sits in the Linear and non-linear equations and inequalities sub-strand of Number and algebra. It is one of a set of short, single-skill EduLift worksheets that split each Year 7 content description into sub-skills. Use the previous and next links to work through the sequence in order.

Common errors we see in tutoring

• Undoing operations in the wrong order
• Dividing only one term
• Forgetting to verify the solution
• Mis-setting up the equation from words