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Equations & Inequalities

Linear equations, inequalities and changing the subject.

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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 YipMCQ8Linear equations with bracketsExpand, collect unknowns, and solve with clear balancing steps.Equations & Inequalities· Mr NgMCQ9Linear equations with fractionsClear denominators by multiplying through by the LCM.Equations & Inequalities· Ms ChuMCQ10Forming equations from word problemsTranslate sentences into a single linear equation before solving.Equations & Inequalities· Mr YipMCQ11Elimination with multiplied equationsScale both equations so one variable cancels cleanly.Equations & Inequalities· Mr ChanMCQ12Substitution with rearranged subjectsMake one variable the subject then substitute into the second equation.Equations & Inequalities· Ms LamMCQ13Inequalities with bracketsExpand inequalities carefully and flip only when multiplying by a negative.Equations & Inequalities· Mr NgMCQ14Showing inequality solutions on a number lineUse open and closed circles correctly for <, >, ≤ and ≥.Equations & Inequalities· Ms ChuMCQ15Integer solutions of inequalitiesList integer solutions and find largest or smallest integers that work.Equations & Inequalities· Mr YipMCQ16Changing subject when the formula has fractionsClear denominators before isolating the new subject.Equations & Inequalities· Mr ChanMCQ17Changing subject with powers and rootsUndo squares and cubes with roots, keeping context signs in mind.Equations & Inequalities· Ms LamMCQ