Solving equations and inequalities

Solving equations and inequalities focuses on legal algebraic operations, graphical solutions, simultaneous relationships and clear distinction between solving, estimating and representing solution sets. Students must preserve equality or inequality meaning at every step, show inverse operations clearly and state the final solution in the required form. Within Solving equations and inequalities, revision should focus on recognising the mathematical structure before choosing a method, because similar-looking questions can test different skills. A strong answer states the representation being used, shows the key calculation or reasoning step, and checks that the final answer matches the wording, units and accuracy of the question. Common mistakes usually come from applying a familiar procedure without checking the condition in the question, so each step should be linked back to the information given.