AQA · Mathematics · 8300

GCSE Maths: Algebra: changing the subject advanced

Algebra · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise for Algebra: changing the subject advanced (Corbettmaths Video 8), and every card links back to the exact page it came from. Practice tests generate fresh variations of these questions, so the numbers change every attempt. Source material © Corbettmaths — used with attribution.

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  1. When making x the subject of A = 1/2(x + y), what is the result?

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    x = 2A − y

  2. When making x the subject of T = 3x² − y, what is the result?

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    x = ±√((T + y)/3)

  3. When making x the subject of s = m / ax, what is the result?

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    x = m / (as)

  4. When making x the subject of g = t / (x − 2), what is the result?

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    x = (t/g) + 2 or x = (t + 2g)/g

  5. When making x the subject of p = 3(y + 2x)², what is the result?

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    x = (±√(p/3) − y)/2

  6. When making m the subject of 5(m + y) = 4(m − 3y), what is the result?

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    m = −17y

  7. When making m the subject of w(m + n) = x(m − n), what is the result?

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    m = n(w + x)/(w − x)

  8. When making m the subject of y = (m + 4)/(m + 5), what is the result?

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    m = (5y − 4)/(1 − y)

  9. When making m the subject of y = 3mt − a²m, what is the result?

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    m = y/(3t − a²)

  10. When making cos A the subject of the cosine rule a² = b² + c² − 2bc cos A, what is the result?

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    cos A = (b² + c² − a²)/(2bc)

  11. When making c the subject of w = ac/(a − c), what is the result?

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    c = aw/(a + w)

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