Year 8 - Linear equations and graphs - Free practice
Year 8 Linear Equations & Graphs Worksheets
Plot, solve, sketch. The core Year 8 algebra skill set.
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10 questions — 4 Foundation, 4 Standard, 2 Extension — with full worked solutions, calibrated to the Victorian Curriculum.
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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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.
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