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The question (i) Simplify the following expression as far as possible, showing all your work- ing: 7y -12 - 3y + 32. (ii) Solve the
The question (i) Simplify the following expression as far as possible, showing all your work- ing: 7y -12 - 3y + 32. (ii) Solve the following equation, showing all your working: (t + 9) = 28. The student's incorrect attempt: (i) Given: Jy - 12 - 34 + 32 Group Like terms: = Zy - By -12 + 32 Collect Like terms: = 4y + 20 Subtract 20: - 20 = 4y Divide by 4: - 5 =y The solution is y = - 5. (Li) Given: (t + 9 ) = 28 clear the fraction: 2(t + 45) = 140 Multiply by 2: 2t + 90 = 140 Subtract 90: 2t = 50 Divide by 2: t = 25 The solution is t = 25. (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. [4] (b) Write out your own solution to each part of the question, explaining your working. [6]
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