Year 8 - Linear equations and graphs - Free practice
Year 8 Linear Equations & Graphs Worksheets
Plot, solve, sketch. The core Year 8 algebra skill set.
Generate a free maths worksheet
Six questions across Foundation, Standard and Extension, with full worked solutions, calibrated to the Victorian Curriculum.
Textbook questions won't lift a test mark.
They come sorted by topic, so your child knows the method before they read the question.
That's where Tuterly comes in and closes the gap: unlimited questions, mixed up, under test conditions, including worded problems.
- ✓Unlimited questions on entire topics, mixed difficulty, VCAA aligned
- ✓Printable test, plus a separate answer key for marking
- ✓Any topic, any time, designed to mimic actual test questions
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About this worksheet
Why we built it
Year 8 takes linear equations further: graphing them on the Cartesian plane, solving them algebraically, and starting to work with inequalities. These worksheets mix all three so your student can't just memorise one procedure - they have to recognise what the question is asking.
What's covered
Sub-skills your student will practise
- ✓Solving multi-step linear equations
- ✓Graphing y = mx + c style equations on the Cartesian plane
- ✓Reading the gradient and y-intercept from a graph
- ✓Solving one-variable linear inequalities
- ✓Representing inequalities on a number line
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Or generate any topic from the full worksheet builder.
From our families
Parents on the practice questions.
“Tuterly has been exactly what we needed since Tom started secondary school. Once the topic tests began, he was struggling to keep up. Now he has unlimited practice, all matched to what his class is actually covering, and his Maths results have improved noticeably.”
Rebecca M.
Year 8 · Maths
“My daughter used to leave revision until the night before. Having a platform she can dip into for fifteen minutes after dinner has completely changed that. She's calmer going into assessments, and honestly, so am I.”
Priya S.
Year 9 · Maths
“I like that I can just keep doing questions until it clicks. If I get something wrong, it shows me why, and then gives me another one like it.”
Ella, student
Year 10 · Maths
Frequently asked
Questions parents ask about linear equations and graphs
What's new in Year 8 linear equations?
Graphing on the Cartesian plane (y = mx + c form), reading gradient and y-intercept from a graph, and solving one-variable inequalities. Year 7 stayed algebraic; Year 8 brings the visual side in.
What does the gradient of a line mean?
How steep the line is - specifically, how much y changes for each unit of x. A gradient of 3 means y goes up 3 for every step right. A negative gradient means the line slopes down.
What's the rule for solving inequalities?
Same as equations, except: if you multiply or divide both sides by a negative number, flip the inequality sign. Forgetting to flip is the single most common Year 8 inequality mistake.
How do students sketch y = mx + c quickly?
Start at the y-intercept (the 'c' value), then use the gradient (the 'm' value) to find a second point - rise over run. Connect them with a straight line.
Want a real plan for the term?
Worksheets are great for repetition. A Tuterly tutor can spot the specific moves your student keeps getting wrong and fix them in one or two sessions.
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Talk to us about Year 8 linear equations and graphs.
Call or message us with your student's year level and what's tripping them up - we'll point you to the right tutor.