Linear equations.
Use equality and inverse operations to solve straightforward linear equations, check solutions and model familiar problems.
Work through the topic
Learn the method, follow the examples, then try the worksheet.
- 01
Equality and balancing
Understand an equation as two equal totals, then keep it true by making the same change to both sides.
- 02
Checking solutions by substitution
Substitute a proposed value into the original equation and compare both sides before deciding whether it is a solution.
- 03
One-step addition/subtraction equations
Undo one addition or subtraction to find the unknown, and show the same operation on each side.
- 04
One-step multiplication/division equations
Use division to undo multiplication and multiplication to undo division, recognising that a coefficient means multiplication.
- 05
Straightforward two-step equations
Undo two operations in reverse order, keeping the equation balanced and checking the final value.
- 06
Writing an equation from a problem
Define an unknown, turn a short situation into an equation, solve it and explain what the answer means.
Topic review
Revisit the key ideas, then choose a practice paper.