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ACARA AC9M8A02, Graph and solve linear relations

Year 8 ยท Algebra

Graph linear relations on the Cartesian plane and solve linear equations and one-variable inequalities using graphs and algebra.

Below are free printable maths worksheets that support AC9M8A02. Print them as PDFs, or generate a fresh one. Every maths answer key is computed in code, so it is never wrong.

Teaching guide

What students learn

Graph linear relations on the Cartesian plane and solve linear equations and one-variable inequalities using graphs and algebra.

How to teach it

Build algebra from arithmetic: use a variable to stand for an unknown, write the situation as an expression or equation, then keep both sides balanced when solving and check by substituting the answer back in.

Worked example
3x = 21
Answer: x = 7
Why: Divide both sides by 3: x = 21 รท 3 = 7

Generated and checked in code, so it is correct.

Watch out for

Treating the equals sign as 'work it out' rather than 'both sides are equal', dropping negative signs, and not applying an operation to every term.

Make a worksheet for AC9M8A02
More Year 8 Algebra codes: AC9M8A01 ยท AC9M8A03 ยท AC9M8A04
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Australian Curriculum content descriptions (c) ACARA, used under CC BY 4.0. Descriptions are paraphrased. See australiancurriculum.edu.au.