� Simple linear equations

One-step and two-step equations. Whole number solutions only.

� Two-step — extending

Larger numbers, negative answers, x on right, decimal solutions.

� Equations — unknowns on both sides

Collect the unknown terms on one side first.

� Equations with brackets

Expand the brackets first, then solve.

� Forming equations — perimeters

Use the perimeter formula to write and solve an equation.

� Forming equations — areas

Use the area formula to write and solve an equation.

Challenge questions
Equations with brackets and shapes combined — or unknowns requiring more steps
Word problems
Real-life contexts — form an equation and solve it

Key steps

Golden rule: whatever you do to one side, do to the other.

Two-step: undo addition/subtraction first, then multiplication/division.

Both sides: move the smaller \(x\) term across first.

Brackets: expand first, then solve. Check signs carefully.

Shapes: write the formula, substitute the expressions, simplify, solve.

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