Topic summary · IGCSE handout

Equations summary

Solving linear equations means undoing operations to isolate the unknown, keeping both sides balanced.

Open Learning Sheet — Equations Download Equations answers PDF

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 $3x+7=19$ .

Working

x=4

Undo +7, divide by 3.

Worked example 2 — Unknown on both sides

Solve $5x-2=3x+10$ .

Working

x=6

Collect like terms.

Worked example 3 — With brackets

Solve $2(x-3)=10$ .

Working

x=8

Expand or divide first.

Scaffolded Learning Sheet and answers (PDFs)

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Open Learning Sheet Answers PDF

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