About this worksheet

This free Year 8 solving equations graphically worksheet is written for the Western Australian curriculum and mapped to SCSA content description WA8MNALP1. It targets one skill so students can practise until it sticks: by the end, students can say “I can compare lines on the same axes, recognise parallel lines and use points of intersection to solve equations.”

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

• Using the point of intersection to solve equations
• Recognising parallel lines from equal gradients
• Comparing two linear models, such as phone plans

How to use this worksheet

Start with the Key idea box, then complete Section A (use a calculator only where a question says so). 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 58, and the score box on the last page helps students see which section needs more practice.

Common mistakes to watch for

• Giving the y-value as the solution instead of x
• Thinking lines with the same c are parallel
• Reading intersection points inaccurately
• Not checking graphical answers algebraically

Where this fits in the WA Year 8 sequence

Comparing Lines and Solving Graphically sits in the Linear and non-linear patterns and relationships sub-strand of Number and algebra. It is one of a set of short, single-skill EduLift worksheets that split each Year 8 content description into sub-skills. Use the previous and next links to work through the sequence in order.

Common errors we see in tutoring

• Giving the y-value as the solution instead of x
• Thinking lines with the same c are parallel
• Reading intersection points inaccurately
• Not checking graphical answers algebraically