Year 9 / Grade 9 • Daily Maths Drill

Algebraic Expansion and Factorisation

Expand, simplify and factorise algebraic expressions.

8 questions • 240-question rotating bank • 30 different sets before a full cycle repeats

8Questions
240Question bank
0Best score
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Algebraic Expansion and Factorisation

Use distributive laws and common factors; check factorisation by expanding it back.

Key ideas

  • single/double brackets
  • collect like terms
  • common factor
  • difference of squares introduction
  • substitution

Worked example: (x+3)(x+4)=x²+7x+12.

Common trap: Middle terms must be combined correctly.

Key words

expand — multiply out brackets
factorise — write as a product
term — part of expression
coefficient — number multiplying variable
identity — equality true for all permitted values
How to use this drill: review the short notes when learning, then close them on later attempts and practise from memory. The rotating bank delays a full set repeat for 30 attempts on the same browser.

What this Year 9 / Grade 9 maths drill practises

Expand, simplify and factorise algebraic expressions. This daily drill is designed as short retrieval practice rather than a complete course. It can be used for school revision, homework, warm-ups or independent practice.

  • single/double brackets
  • collect like terms
  • common factor
  • difference of squares introduction
  • substitution

International use: the topic is organised by broadly useful school-level progression. Exact curriculum timing and terminology can vary between countries, states and schools.

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