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9. (a) Rearrange this formula to make x the subject - OCR - GCSE Maths - Question 9 - 2018 - Paper 2

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9. (a) Rearrange this formula to make x the subject. $y = x - 2$ (b) Rearrange this formula to make d the subject. $C = \pi d$

Worked Solution & Example Answer:9. (a) Rearrange this formula to make x the subject - OCR - GCSE Maths - Question 9 - 2018 - Paper 2

Step 1

(a) Rearrange this formula to make x the subject.

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Answer

To make xx the subject of the formula y=x−2y = x - 2, we need to isolate xx. We can do this by adding 2 to both sides of the equation:

  1. Start with the equation:

    y=x−2y = x - 2

  2. Add 2 to both sides:

    y+2=xy + 2 = x

Thus, the rearranged formula is:

x=y+2x = y + 2

Step 2

(b) Rearrange this formula to make d the subject.

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Answer

To make dd the subject of the formula C=πdC = \pi d, we need to isolate dd. This can be achieved by dividing both sides of the equation by π\pi:

  1. Start with the equation:

    C=πdC = \pi d

  2. Divide both sides by π\pi:

    d=Cπd = \frac{C}{\pi}

Thus, the rearranged formula is:

d=Cπd = \frac{C}{\pi}

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