Adding and Subtracting Expressions (Like Terms)

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Learning objective overview

Master Teaching Guide coverage for this objective.

Alpha textbook: Basics, Ex 11.06, pg 180 + PSE 11D, pg 181
Alpha textbook: Like and unlike terms, Ex 11.07, pg 182
Alpha textbook: Simplifying Like Terms (with addition only), Ex 11.08, pgs 183-184 + PSE 11E, pg 184
Alpha textbook: Simplifying Like Terms (with addition and subtraction), Ex 11.09, pg 185 + PSE 11F, pg 185
Alpha textbook: Summary of LO13 to LO15, Check Your Understanding, pgs 186-187
Dr Austin Maths - Simplifying Expressions Practice GridQuestions PDF · Answers
CorbettMaths Collecting Like TermsQuestions PDF · Answers
Beta: Skills in Chapters 8, pg 156-164

Match terms only when the letters and powers are identical, such as $x$ with $x$ but not $x$ with $x^2$.
Collect integer, decimal, fractional, and exact coefficients in expressions such as $2\pi x+4\pi x$.
Keep constants and unlike terms separate, and explain why terms like $3p$ and $3p^2$ cannot combine.
Form, compare, and reverse perimeter expressions by grouping like terms efficiently.