ACARA AC9M7A03, Solve linear equations

Year 7 · 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.

Teach this code

Deliver a whole lesson on AC9M7A03 from a textbook-grade teaching unit, with a hook, worked examples, diagrams, misconceptions, and an exit ticket.

Linear equations and expressions

Year 7 (ages 12 to 13)

Understanding and solving one-step equations

Grade 6 (ages 11 to 12)

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

Solve for x: 7x = 21

Answer: x = 3

Why: 21 / 7 = 3; x = 3

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.