About this worksheet

This free Year 8 graphing linear relationships 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 use a table of values to graph y = mx + c, read points from a line and test whether a point lies on a line.”

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

• Completing tables of values for y = mx + c
• Plotting and reading points from a straight line
• Testing whether a point lies on a line

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

• Plotting (y, x) instead of (x, y)
• Sign errors when substituting negative x values
• Joining points with a wobbly or broken line
• Reading the wrong axis scale

Where this fits in the WA Year 8 sequence

Graphing Linear Relationships 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

• Plotting (y, x) instead of (x, y)
• Sign errors when substituting negative x values
• Joining points with a wobbly or broken line
• Reading the wrong axis scale