claritute
NSW MATHS · EQUATIONS

Solving equations, step by step — Years 7 to 10

Solving an equation is just "undoing" operations to get the unknown on its own. Taught as a clear, reversible process, it becomes one of the most satisfying skills in maths.

Start your 7-day free trial →Years 7–10 · NSW syllabus-aligned.
Free for 7 days, then $25/month.

Understanding linear equations

Students go wrong with equations when they treat each step as a trick to remember rather than a balance to keep. Claritute teaches the balance idea — whatever you do to one side, you do to the other — and shows every step, so the logic is visible.

Lessons build from one-step to two-step equations, equations with brackets and unknowns on both sides, and connect to graphing straight lines (linear relationships). All aligned to the NSW Stage 4–5 outcomes.

What you’ll learn

37 Claritute lessons cover linear equations across Years 7–10 — each one visual and step-by-step.

The balance method

One-step and two-step equations

Equations with brackets

Unknowns on both sides

Graphing linear relationships

Why families choose Claritute

🔍 Free Gap Finder

Find the missing block — fast

A short diagnostic pinpoints exactly which earlier skill is causing the trouble, then builds the plan around it. Foundations first; confidence follows.

✏️ Worked examples that teach

Then it’s their turn — every time

Every concept is drawn, not described — 800+ original diagrams — and each worked example hands the pen back with a matching question and a self-check.

🍎 A registered NSW teacher

Built and taught by Angelo Hanna

Every lesson is written, checked and taught by a registered NSW teacher and mapped to the NSW K–10 syllabus — so home lines up with school. Not scraped, not outsourced.

Where to go next

Frequently asked questions

What is a linear equation?

A linear equation is one where the unknown is to the power of one — like 2x + 3 = 9 — so its graph is a straight line. Claritute covers both solving them and graphing them.

How do you help a student who keeps making careless mistakes?

By making the process visible. When every step is written and justified — not skipped in their head — the careless slips drop sharply. The worked examples model exactly that discipline, then hand the pen over.

Is there a free trial?

Yes — 7 days free with full access to every equations lesson. After that it is $25 a month for the whole Years 3–10 library.

Make linear equations click for your child.

Start the free trial →7 days free · cancel anytime · built by a registered NSW teacher