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Year 8 Number and algebra WA8MNAA2 5 pages · 34 questions Core
Year 8 Multiplying and Dividing Algebraic Terms Worksheet
Free Year 8 algebraic terms worksheet (WA8MNAA2): multiplying and dividing terms with coefficients, signs and order of operations. With key.
What's covered
- Multiplying algebraic terms, e.g. 3a × 4a = 12a²
- Dividing algebraic terms and cancelling
- Using order of operations to simplify mixed expressions
About this worksheet
This free Year 8 multiplying and dividing algebraic terms worksheet is written for the Western Australian curriculum and mapped to SCSA content description WA8MNAA2. It targets one skill so students can practise until it sticks: by the end, students can say “I can multiply and divide algebraic terms with coefficients and signs, and use the order of operations to simplify.”
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
- Multiplying algebraic terms, e.g. 3a × 4a = 12a²
- Dividing algebraic terms and cancelling
- Using order of operations to simplify mixed expressions
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
- Writing 3a × 4a = 12a
- Adding coefficients when multiplying
- Cancelling only the number or only the pronumeral
- Ignoring the order of operations
Where this fits in the WA Year 8 sequence
Multiplying and Dividing Algebraic Terms sits in the Algebraic techniques 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
- Writing 3a × 4a = 12a
- Adding coefficients when multiplying
- Cancelling only the number or only the pronumeral
- Ignoring the order of operations
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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