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Grade 10 · Exponents, Equations and Inequalities
Literal Equations: Changing the Subject of a Formula
MEMORANDUM
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Class: 
Date: 
Mark
  / 18

Answer all questions. Show all your working — marks are awarded for method as well as the final answer. Teacher copy: accept any correct equivalent method.

  1. 1
    Make x the subject: y = 2x + 6
    (2)
    x = (y − 6)/2✓✓ (2)
  2. 2
    Make x the subject: y = 5x − 3
    (2)
    x = (y + 3)/5✓✓ (2)
  3. 3
    Make b the subject: A = 1/2bh
    (2)
    b = 2A/h✓✓ (2)
  4. 4
    Make h the subject: V = lbh
    (2)
    h = V/lb✓✓ (2)
  5. 5
    Make r the subject: C = 2πr
    (2)
    r = C/2π✓✓ (2)
  6. 6
    Make r the subject: A = πr2
    (3)
    r = √(A ÷ π)✓✓✓ (3)
  7. 7
    Make x the subject: ax = bx + c
    (3)
    x = c/(a − b),  a ≠ b✓✓✓ (3)
  8. 8
    Make t the subject: v = u + at
    (2)
    t = (v − u)/a✓✓ (2)
TOTAL: 18 marks
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