Expanding single brackets

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Learning objective overview

Master Teaching Guide coverage for this objective.

Alpha textbook: Understanding the distributive rule, Ex 15.01, pg 242
Alpha textbook: Simple expanding, Ex 15.02, pg 242
Alpha textbook: Expansions with a negative number, Ex 15.03
Alpha textbook: Expanding with numbers inside brackets, Ex 15.04, pg 243
Alpha textbook: More complex expanding, Ex 15.05, pg 244
Alpha textbook: Expanding with a pronumeral in front of the brackets, Ex 15.06, pg 245
Alpha textbook: Expanding with a number and pronumeral in front of the brackets, Ex 15.07, pg 245
Alpha textbook: Expanding and collecting like terms, Ex 15.08, pg 247
Dr Austin Maths - Expanding Single Brackets Practice GridQuestions PDF · Answers
CorbettMaths on expanding single bracketsQuestions PDF · Answers
Beta: Single Skills in Chapters 9, pg 167
Beta: Double Skills in Chapters 11, pg 200-203
Beta: Single brackets: Ex 9.01 to Ex 9.03, pgs 168 to 169 and Parallel Skills 9B, pg 170
Beta: Double brackets: Ex 11.04 to 11.07, pgs 201 to 204

Expand a single bracket by multiplying the term outside the bracket by every term inside it, e.g. $2(y+5)$ or $2x(5x+3)$.
Expand a bracket with a negative term outside it, e.g. $-(2m+7)$, taking care with the signs of every term produced.
Expand and simplify an expression that combines an expanded bracket with extra terms outside it, e.g. $2(4x+1)+3$.
Expand two separate brackets and collect like terms to simplify the result, e.g. $-3(x-4)+2(x-2)$.
Form and expand an expression for the area of a rectangle whose side length is written as a bracket, e.g. length $(x+4)$ and width $3$.
Check whether an expanded expression is equivalent to the original bracketed expression, including spotting a sign error.