Year 8 - Algebra - Free practice
Year 8 Algebra Worksheets & Practice Tests
Expanding, factorising and simplifying linear expressions.
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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 algebra is where students move beyond writing expressions and start manipulating them - expanding brackets, factorising out common terms, collecting like terms across longer expressions. These worksheets give your student the repetition they need to make those moves automatic before quadratics arrive in Year 9.
What's covered
Sub-skills your student will practise
- ✓Collecting like terms with multiple variables
- ✓Expanding single-bracket expressions using the distributive law
- ✓Factorising by taking out a common factor
- ✓Rearranging expressions and applying inverse operations
- ✓Substituting values into simplified expressions
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Frequently asked
Questions parents ask about algebra
What does Year 8 algebra cover that Year 7 didn't?
Year 8 introduces expanding brackets using the distributive law, factorising by taking out a common factor, and rearranging expressions across both sides of an equation. Year 7 stayed mostly with writing and substituting; Year 8 is where students start manipulating.
How do students factorise an algebraic expression?
Find the largest common factor between the terms and pull it out. For 6x + 12, the common factor is 6, leaving 6(x + 2). For 4x^2 + 8x, the common factor is 4x, leaving 4x(x + 2).
What's the trickiest part of Year 8 algebra?
Keeping track of signs when expanding brackets that have negatives in front. -(x + 3) expands to -x - 3, not -x + 3. This is the single most common mistake on Year 8 tests.
How does Year 8 algebra prepare students for Year 9?
Year 9 introduces binomial expansion ((x + 2)(x + 3)) and factorising quadratics. Both build directly on the single-bracket distribution and common-factor work that Year 8 cements.
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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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