Mathematics Algebrausually ages 11–14

Solving Linear Equations

Use algebraic methods to solve linear equations in one variable, including equations that require rearrangement, expanding brackets, and collecting terms on both sides; solve equations with rational number coefficients

How to tell they’ve got it

Tick these off as you see them — no test required.

Solve one-step and two-step linear equations in one variable
Solve equations requiring expansion of brackets and collection of like terms
Solve equations with the unknown on both sides and with fractional or negative coefficients

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Try this together

If your child is given an equation like 3x + 7 = 22, can they work through the steps to find the value of x?

Where this sits on the map

Stuck here? Check the skills it builds on first. Confident? Here’s what it unlocks.

Builds on

Writing Algebraic Equationsages 10–11Solving linear equations extends KS2 missing-number problem work

Substituting into Formulaeages 11–12Solving equations requires substitution skill to check answers

Using inverse operationsages 11–12Solving linear equations by rearrangement requires applying inverse operations to isolate an unknown

Expanding Single Bracketsages 11–13Many equations require expanding brackets before solving

Solving Linear Equationsthis skill · ages 11–14

Unlocks

Algebraic Transformationsages 11–13Modelling with algebra requires setting up and solving equations

Numbers on a number lineages 11–14Solving inequalities uses the same inverse-operation methods as solving equations

Simple formulaeages 12–14Rearranging formulae uses the same inverse-operation techniques as solving equations

Simultaneous Equationsages 13–14Understanding simultaneous equations requires fluency with single linear equations

Nth-Term Rulesages 12–14Testing whether a number is in a sequence requires solving a linear equation

solid = must come firstdashed = helps

Curriculum alignment

Candidate matches to official curriculum codes — machine-suggested, unreviewed (v0.1).

Show candidate curriculum codes · 3 ACARA · 2 NSW · 3 VIC

Australian Curriculum v9 candidate

AC9M5N05low confidenceYear 5 · Number

solve problems involving addition and subtraction of fractions with the same or related denominators, using different strategies

AC9M6A02low confidenceYear 6 · Algebra

find unknown values in numerical equations involving brackets and combinations of arithmetic operations, using the properties of numbers and operations

AC9M5A02low confidenceYear 5 · Algebra

find unknown values in numerical equations involving multiplication and division using the properties of numbers and operations

NSW syllabus codes & stages only

MAO-WM-01low confidenceMathematics K-10 · Early Stage 1, Stage 1, Stage 2, Stage 3

MA3-MR-01low confidenceMathematics K-10 · Stage 3

Victorian Curriculum 2.0 codes & levels only

VC2M6N09low confidenceMathematics · Level 6 · Number strand

VC2M5N05low confidenceMathematics · Level 5 · Number strand

VC2M6A02low confidenceMathematics · Level 6 · Algebra strand

These are candidate alignments generated by semantic matching — machine-suggested and unreviewed (v0.1), not official or verified mappings. For official curriculum content see australiancurriculum.edu.au, curriculum.nsw.edu.au and f10.vcaa.vic.edu.au. Don’t rely on them for registration or compliance purposes.

Nearby on the map

Algebraic Notationages 11–12 Algebraic Transformationsages 11–13 Collecting Like Termsages 11–12 Coordinates (age 11+)ages 11–12

All Algebra skills →