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Year 8 Number and algebra WA8MNALE2 5 pages · 34 questions Core
Year 8 Solving Equations of the Form x² = k Worksheet
Free Year 8 x² = k worksheet (WA8MNALE2): two solutions, exact and rounded answers, no-solution cases and area problems with πr². With key.
What's covered
- Solving x² = k and giving both solutions
- Rearranging before taking the square root, e.g. 3x² = 75
- Giving exact (√) and rounded answers
About this worksheet
This free Year 8 x² = k equations worksheet is written for the Western Australian curriculum and mapped to SCSA content description WA8MNALE2. It targets one skill so students can practise until it sticks: by the end, students can say “I can solve x² = k, explain why there are two solutions when k > 0, and give exact or rounded answers.”
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
- Solving x² = k and giving both solutions
- Rearranging before taking the square root, e.g. 3x² = 75
- Giving exact (√) and rounded answers
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 only the positive solution
- Square rooting before undoing other operations
- Thinking x² = negative has a solution
- Keeping a negative length in a measurement context
Where this fits in the WA Year 8 sequence
Solving Equations of the Form x² = k sits in the Linear and non-linear equations and inequalities 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 only the positive solution
- Square rooting before undoing other operations
- Thinking x² = negative has a solution
- Keeping a negative length in a measurement context
Answer key (with worked solutions)
The answer key is a separate PDF with every question worked, not just the final answers.
Download the answer key (PDF)Stuck on a section? That's what our Year 8 tutors are for.
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