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 . (a) The student has made a mistake in both parts of their...

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Question 3 — 15 marks This question is based on your work on MU125' up to and including Unit 5. In this question, you are asked to comment on a student's incorrect attempt at answering the question detailed below.

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The question (i) Simplify the following expression as far as possible, showing all your working: 9y - 14 - 3y + 50. (ii) Solve the following equation, showing all your working: g ( t - 4 ) = 12. The student's incorrect attempt: (i ) Given: 9y- 14 - 3y +50 Group like terms: = 9y - 3y - 14+50 Collect like terms: = by + 36 SUBtract 36: - 36 = by Divide By 6: - b=y The solution is y = -b. (ii ) Given : (t - 4 ) = 12 Clear the fraction: 3 (t - 32 ) = 96 Multiply By 3: 3t - 96 = 96 Add 96: 3t = 192 Divide By 3: The solution is t = 64.

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(a) The student has made a mistake in both parts of their attempt. Identify these mistakes and explain, as if directly to the student, why, for each mistake, their reasoning is incorrect. (b) Write out your own solution to each part of the question, explaining your working.

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(c) The student decides to check if the solution they got to part (ii) of the question was correct using the following approach: Check: 3 Substitute but for t: (64 - 4 )= 12 8 W Work out the Brackets: (60 ) = 12 45 GivinG: 2 = 12 This is incorrect so the solution t = 64 is incorrect (1) Explain why the approach to checking that they have chosen is incorrect. [2] (2) Show how the student should have performed the check.

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