Adding and Subtracting Expressions (Like Terms)

Identify matching terms, collect their coefficients, and simplify algebraic and perimeter expressions accurately.

Worksheet Builder All resources ☕ Shout us a flat white Download All

Te reo Māori terms

click each term to open in Te Aka

Learning objective overview

Master Teaching Guide coverage for this objective.

Current NZC (2007)
  • NA4-7
New NZC (2026)
  • NZC26-P4-ALG-ER-K-Y9-01
  • NZC26-P4-ALG-ER-P-Y9-02
  • NZC26-P3-ALG-ER-K-Y8-01
  • NZC26-P3-ALG-ER-P-Y7-05
  • NZC26-P3-ALG-ER-P-Y8-04

Resources

  • 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

Terminology

  • like terms
  • unlike terms
  • group
  • variable
  • simplify
  • coefficient
  • power
  • index
  • commutative
  • distributive
  • associative
  • inverse
  • identity

Task goals

  • 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.

Where this fits

What leads into this objective, and where it goes next.

You are here

Adding and Subtracting Expressions (Like Terms)

Adding and Subtracting Expressions (Like Terms)

Know

The properties of operations (commutative, distributive, associative, inverse, and identity) and the order of operations apply to numbers and variables.

Statement▸
Year 9 · Algebra · Equations and relationships
NZC26-P4-ALG-ER-K-Y9-01
Do

Generalising the properties of operations with variables (e.g. multiplication is distributive over subtraction)

Statement▸
Year 9 · Algebra · Equations and relationships
NZC26-P4-ALG-ER-P-Y9-02

Explore the whole sequence →