Topic summary · IGCSE handout
Equations summary
Solving linear equations means undoing operations to isolate the unknown, keeping both sides balanced.
Files: 8_equations_handout.pdf · 8_equations_handout_answers.pdf · free public downloads · diagrams in the PDFs
Key learning points
- Do the same operation to both sides.
- Expand brackets first; collect like terms; then divide.
- Check by substituting your solution back into the original equation.
Worked example 1 — Two-step equation
Solve .
Working
Undo +7, divide by 3.
Worked example 2 — Unknown on both sides
Solve .
Working
Collect like terms.
Worked example 3 — With brackets
Solve .
Working
Expand or divide first.
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.