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ACARA AC9M10A02, Inequalities and simultaneous equations

Year 10 ยท Algebra

Solve linear inequalities and simultaneous linear equations in two variables, and interpret the solutions graphically and in context.

Below are free printable maths worksheets that support AC9M10A02. 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 linear inequalities and simultaneous linear equations in two variables, and interpret the solutions graphically and in context.

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 AC9M10A02
More Year 10 Algebra codes: AC9M10A01 ยท AC9M10A03 ยท AC9M10A04 ยท AC9M10A05
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Australian Curriculum content descriptions (c) ACARA, used under CC BY 4.0. Descriptions are paraphrased. See australiancurriculum.edu.au.