Year 9 - Algebra - Free practice
Year 9 Algebra Worksheets & Practice Tests
Binomial expansion, monic quadratic factorising, simplifying.
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 9 algebra is the year FOIL (binomial expansion) and factorising x^2 + bx + c become routine. These worksheets give your student the repetition they need - both directions, plus mixed-format problems that show up on practice tests.
What's covered
Sub-skills your student will practise
- ✓Expanding (x + a)(x + b) using FOIL / distributive law
- ✓Factorising monic quadratics into two binomial factors
- ✓Difference of two squares pattern
- ✓Simplifying multi-term algebraic expressions
- ✓Mixed expand-then-factorise problems
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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 algebra
What is binomial expansion?
Multiplying out a product of two two-term expressions, like (x + 2)(x + 3). The result is x^2 + 5x + 6. The method (FOIL: First, Outer, Inner, Last) is one of the few maths acronyms genuinely worth remembering.
How do students factorise a monic quadratic?
Find two numbers that multiply to the constant term and add to the x coefficient. For x^2 + 5x + 6, those numbers are 2 and 3, so it factorises as (x + 2)(x + 3). This is the inverse of FOIL.
What's difference of two squares?
A specific factorising pattern: a^2 - b^2 = (a + b)(a - b). So x^2 - 9 factorises as (x + 3)(x - 3). Recognising this pattern saves a lot of time on quadratic factorising questions.
Why does Year 9 spend so much time on factorising?
Because every quadratic equation solved in Year 9 or Year 10 starts with factorising. Students who are slow at factorising hit a wall by mid-Year 10. The fluency built in Year 9 pays off for the next four years of maths.
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 9 algebra.
Call or message us with your student's year level and what's tripping them up - we'll point you to the right tutor.