Algebra 1 summary

Key learning points

• Simplify before solving; watch signs when expanding.
• Keep equations balanced with inverse operations.
• Check by substituting your solution.
• Layout method marks clearly.

Worked example 1 — Linear solve

Solve $4(x-3)=2x+2$.

Working

Expand, collect $x$ terms, divide.

Worked example 2 — Simplify before solving; watch signs when expanding

Use this method from the Algebra 1 sheet: Simplify before solving; watch signs when expanding.

Working

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

Worked example 3 — Keep equations balanced with inverse operations

Use this method from the Algebra 1 sheet: Keep equations balanced with inverse operations.

Working

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

Worked example 4 — Check by substituting your solution

Use this method from the Algebra 1 sheet: Check by substituting your solution.

Working

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

Worked example 5 — Layout method marks clearly

Use this method from the Algebra 1 sheet: Layout method marks clearly.

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.