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A1","marks":3,"order":0,"markingRubric":{"totalMarks":3,"points":[{"id":"p1","marks":1,"description":"Expands the bracket $b(x - 2)$.","code":"M"},{"id":"p2","marks":1,"description":"Rearranges terms so that all terms containing $x$ are on one side and others on the other.","code":"M"},{"id":"p3","marks":1,"description":"Factorises $x$ and divides to reach the final answer $x = \\frac{a + 2b}{b - 2}$.","code":"A"}],"finalAnswers":["x = \\frac{a + 2b}{b - 2}"],"generatedAt":"2026-05-07T02:09:01.541Z","modelVersion":"gemini-3-flash-preview"},"tableImages":[],"explanation":null,"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":{"percent":86},"walkthroughVideo":null},{"id":"eb2afcdb-1c77-41d5-8538-845fe750eb12","revisionId":"a732874e-abf2-4d92-9a8c-1d61dc40e1f8","questionNumber":"8","questionType":"LA","specification":"","difficulty":2,"difficultyBand":"medium","totalMarks":3,"sourceTitle":"Rearranging Harder Formulae","calculatorUse":null,"isCalculation":false,"parts":[{"id":"a752ba9f-d94c-4490-9baf-199e2272d276","label":"0","content":"Make $x$ the subject of the formula $x(2 + a) = b(x + 3)$","markscheme":"- Expand brackets: $2x + ax = bx + 3b$ M1\n- Rearrange $x$ terms: $2x + ax - bx = 3b$ M1\n- Factorise $x$: $x(2 + a - b) = 3b$ and divide: $x = \\frac{3b}{2 + a - b}$ A1","marks":3,"order":0,"markingRubric":{"totalMarks":3,"points":[{"id":"p1","marks":1,"description":"Expands both sides of the equation.","code":"M"},{"id":"p2","marks":1,"description":"Groups all $x$ terms on one side.","code":"M"},{"id":"p3","marks":1,"description":"Factorises $x$ and divides to isolate $x$.","code":"A"}],"finalAnswers":["x = \\frac{3b}{2 + a - b}"],"generatedAt":"2026-05-07T02:09:01.541Z","modelVersion":"gemini-3-flash-preview"},"tableImages":[],"explanation":null,"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":{"percent":87},"walkthroughVideo":null}],"subjectCode":"igcse_maths__cie","summaries":[{"id":"2221441c-51c6-4cfd-93ef-53180ca8ac25","difficultyBand":"easy","calculatorUse":null,"totalMarks":1,"questionType":"LA","isCalculation":false},{"id":"12ad6831-a4eb-48e4-b127-d2dda549930e","difficultyBand":"easy","calculatorUse":null,"totalMarks":2,"questionType":"LA","isCalculation":false},{"id":"8e9b6070-da7d-4c7d-a510-9a8450b986cd","difficultyBand":"easy","calculatorUse":null,"totalMarks":2,"questionType":"LA","isCalculation":false},{"id":"c7909575-fb91-43f8-8546-2b607d2c86aa","difficultyBand":"easy","calculatorUse":null,"totalMarks":2,"questionType":"LA","isCalculation":false},{"id":"677e251b-a63e-4950-b2ba-89b1e78838a9","difficultyBand":"medium","calculatorUse":null,"totalMarks":2,"questionType":"LA","isCalculation":false},{"id":"ddfb58b2-0ae1-442b-a426-76015be5284f","difficultyBand":"medium","calculatorUse":null,"totalMarks":2,"questionType":"LA","isCalculation":false},{"id":"0d84ec73-daad-4d69-85c5-1c042c944964","difficultyBand":"medium","calculatorUse":null,"totalMarks":3,"questionType":"LA","isCalculation":false},{"id":"eb2afcdb-1c77-41d5-8538-845fe750eb12","difficultyBand":"medium","calculatorUse":null,"totalMarks":3,"questionType":"LA","isCalculation":false},{"id":"755c4481-3ea7-44ff-9272-f4357df6e354","difficultyBand":"medium","calculatorUse":null,"totalMarks":3,"questionType":"LA","isCalculation":false},{"id":"f6801ff0-5743-4c8c-b825-57d53a40fe4f","difficultyBand":"medium","calculatorUse":null,"totalMarks":3,"questionType":"LA","isCalculation":false},{"id":"1ce4d46d-9bd2-4a8c-92f3-7f6bfc30bef8","difficultyBand":"medium","calculatorUse":null,"totalMarks":3,"questionType":"LA","isCalculation":false},{"id":"e33c522c-f4e0-4a9f-9178-2bb9f609023d","difficultyBand":"medium","calculatorUse":null,"totalMarks":3,"questionType":"LA","isCalculation":false},{"id":"4cbe4739-918d-4f11-9d03-99fb594d5d29","difficultyBand":"medium","calculatorUse":null,"totalMarks":4,"questionType":"LA","isCalculation":false}],"title":"Rearranging Harder Formulae","topicId":"007629bb-592b-47e0-8265-34ce43031d53","topicSidebar":"$L3c","topicSlug":"grade-7-7-7-rearranging-harder-formulae","topicTitle":"Rearranging Harder Formulae"}]}],"$L3d","$L3e"]}]

Rearranging Harder Formulae

Question 3

Rearranging Harder Formulae Questions

Rearranging Harder Formulae

Question 3

Rearranging Harder Formulae Questions