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Year 7 · Mathematics · Algebra

AC9M7A03

solve one-variable linear equations with natural number solutions; verify the solution by substitution

The content description above is Australian Curriculum, Assessment and Reporting Authority (ACARA)’s own wording, reproduced unmodified from the Australian Curriculum v9.0, read in August 2026, and licensed CC BY 4.0.

© Australian Curriculum, Assessment and Reporting Authority (ACARA) 2010 to present, unless otherwise indicated. This material was downloaded from the Australian Curriculum website and was not modified. ACARA does not endorse this product and is not affiliated with it.

Taught alongside it

The rest of Algebra in Year 7.

AC9M7A01

recognise and use variables to represent everyday formulas algebraically and substitute values into formulas to determine an unknown

AC9M7A02

formulate algebraic expressions using constants, variables, operations and brackets

AC9M7A04

describe relationships between variables represented in graphs of functions from authentic data

AC9M7A05

generate tables of values from visually growing patterns or the rule of a function; describe and plot these relationships on the Cartesian plane

AC9M7A06

manipulate formulas involving several variables using digital tools, and describe the effect of systematic variation in the values of the variables

The same idea, year by year

Where AC9M7A03 comes from and where it goes, for a student working below or above Year 7.

  1. Year 6AC9M6A01recognise and use rules that generate visually growing patterns and number patterns involving rational numbers
  2. Year 6AC9M6A02find unknown values in numerical equations involving brackets and combinations of arithmetic operations, using the properties of numbers and operations
  3. Year 6AC9M6A03create and use algorithms involving a sequence of steps and decisions that use rules to generate sets of numbers; identify, interpret and explain emerging patterns
  4. Year 8AC9M8A01create, expand, factorise, rearrange and simplify linear expressions, applying the associative, commutative, identity, distributive and inverse properties
  5. Year 8AC9M8A02graph linear relations on the Cartesian plane using digital tools where appropriate; solve linear equations and one-variable inequalities using graphical and algebraic techniques; verify solutions by substitution
  6. Year 8AC9M8A03use mathematical modelling to solve applied problems involving linear relations, including financial contexts; formulate problems with linear functions, choosing a representation; interpret and communicate solutions in terms of the situation, reviewing the appropriateness of the model
  7. Year 8AC9M8A04experiment with linear functions and relations using digital tools, making and testing conjectures and generalising emerging patterns

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