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Mathematics·Algebra·procedural

Expanding Single Brackets

Expand (multiply out) a single term over a bracket using the distributive property, e.g., 3(2x + 5) = 6x + 15; expand expressions involving negative multipliers

Suggested ages 11–13

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Evidence of understanding

  • Multiply a single positive term over a bracket to expand the expression
  • Multiply a negative term over a bracket, correctly handling signs
  • Combine expanding brackets with collecting like terms to simplify fully

Assessment prompt

Can Expanding Single Brackets expand a bracket like 3(2x + 5) by multiplying everything inside, to get 6x + 15?

Standards alignment

6.EE.3US · ccss-math

Apply Properties of Operations

Common Core State Standards for Mathematics · 6

7.EE.1US · ccss-math

Apply properties of operations to linear expressions

Common Core State Standards for Mathematics · 7

KS3.Maths.Alg.4bGB · uk-nc-2013

Simplify Expressions: Multiplying Over a Bracket

The national curriculum in England: Key stages 1 and 2 framework document · Key Stage 3