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ACARA AC9M7A03, Solve linear equations

Year 7 ยท Algebra

Solve one-variable linear equations with whole-number solutions and check each answer by substitution.

Below are free printable maths worksheets that support AC9M7A03. 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

Solve one-variable linear equations with whole-number solutions and check each answer by substitution.

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 AC9M7A03
More Year 7 Algebra codes: AC9M7A01 ยท AC9M7A02 ยท AC9M7A04 ยท AC9M7A05 ยท AC9M7A06
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Australian Curriculum content descriptions (c) ACARA, used under CC BY 4.0. Descriptions are paraphrased. See australiancurriculum.edu.au.