Linear equations: explanations and free practice
Learn equivalent steps, brackets and modelling with original linear-equation exercises, feedback and printable worksheets. Choose your language and curriculum separately.
For learners aged 14+ · free · no account required
Language, curriculum and teaching reference are independent choices. For learners aged 14+: selected linear-equation skills or review. Read the selected programme notes for its level, version and extensions. This is a limited original series, not a full course or an official examination paper.
Equivalent equations and checking a solution
Solve linear equations by applying the same reversible operation to both sides. Check by substituting into the original equation, including negative and fractional solutions.
Read the explanation → PractiseBrackets and the number of solutions
Expand brackets, collect like terms and distinguish one solution, no solution and infinitely many solutions in linear equations.
Read the explanation → PractiseBuild an equation from a situation
Define an unknown with its unit, write a linear relationship, solve it and check whether the result makes sense in the original situation.
Read the explanation → Practise