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Lessons by Mr Yip

Mr Yip writes equations, inequalities and formula-rearrangement lessons. He likes short checks: substitute the answer and confirm both sides.

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1Linear equations in one unknownSolve linear equations with brackets and fractions using balanced steps and clear checking.Equations & Inequalities· Mr YipMCQ2Linear equations in two unknownsSolve simultaneous linear equations by substitution and elimination — core Secondary 3 skills.Equations & Inequalities· Mr YipMCQ3Linear inequalities in one unknownSolve and represent linear inequalities, remembering to flip the inequality sign when multiplying or dividing by a negative.Equations & Inequalities· Mr YipMCQ4Changing the subject of a formulaRearrange formulae with roots, fractions and products so a chosen variable becomes the subject.Equations & Inequalities· Mr YipMCQ5Simultaneous equations from word problemsTranslate weight, ticket and money stories into a pair of linear equations, then solve.Equations & Inequalities· Mr YipMCQ6Linear inequalities (exam drills)Solve inequalities with brackets and negative coefficients; represent solutions on a number line.Equations & Inequalities· Mr YipMCQ7Changing the subject with roots and productsHarder rearrangements: subject in a product, under a root, or appearing twice.Equations & Inequalities· Mr YipMCQ8Significant figures in calculationsCount significant figures and round answers as papers require.Numbers & Estimation· Mr YipMCQ9Operations in scientific notationMultiply and divide numbers written as a×10ⁿ and renormalise.Numbers & Estimation· Mr YipMCQ10Discount and sale priceApply single and successive discounts to marked prices.Percentage, Rate & Ratio· Mr YipMCQ11Two-step percentage story problemsChain multipliers for mark-up then discount or rise then fall.Percentage, Rate & Ratio· Mr YipMCQ12Using perfect square identitiesRecognise and expand (a±b)² without missing the middle term.Algebraic Manipulation· Mr YipMCQ13Linking indices to scientific notationMove between ordinary form and a×10ⁿ using index laws.Algebraic Manipulation· Mr YipMCQ14Forming equations from word problemsTranslate sentences into a single linear equation before solving.Equations & Inequalities· Mr YipMCQ15Integer solutions of inequalitiesList integer solutions and find largest or smallest integers that work.Equations & Inequalities· Mr YipMCQ16Exam mix: factorise then solveFactorise expressions and solve related linear equations in one sitting.Exam & Challenge· Mr YipMCQ17Challenge: full quadratic factorisation setFactorise several quadratics including a≠1 and perfect squares.Exam & Challenge· Mr YipMCQ