Algebra 2 summary

Key learning points

• Pick elimination or substitution for simultaneous systems.
• Flip the inequality when multiplying/dividing by a negative.
• Factorise quadratics when integer roots look likely.
• Show full multi-step working.

Worked example 1 — Simultaneous

Solve $x+y=5$, $x-y=1$.

Working

Add the equations to cancel $y$.

Worked example 2 — Pick elimination or substitution for simultaneous syste

Use this method from the Algebra 2 sheet: Pick elimination or substitution for simultaneous systems.

Working

Each key learning point matches a question type on the printable worksheet.

Worked example 3 — Flip the inequality when multiplying/dividing by a nega

Use this method from the Algebra 2 sheet: Flip the inequality when multiplying/dividing by a negative.

Working

Each key learning point matches a question type on the printable worksheet.

Worked example 4 — Factorise quadratics when integer roots look likely

Use this method from the Algebra 2 sheet: Factorise quadratics when integer roots look likely.

Working

Each key learning point matches a question type on the printable worksheet.

Worked example 5 — Show full multi-step working

Use this method from the Algebra 2 sheet: Show full multi-step working.

Working

Each key learning point matches a question type on the printable worksheet.

Scaffolded Learning Sheet and answers (PDFs)

This page is a short, searchable overview for revision and search engines. Use the Scaffolded Learning Sheet first, then the Answers PDF for a full written solution. The printable PDFs remain the main classroom resource.