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Home > Subjects > Mathematics > Level 2 > 2.1 Algebra (AS90284) > Subject content > Changing the subject of the formula

  • Subject: Mathematics
  • AS: AS90284
  • Level: 2
  • Credits: 4
  • External

Mathematics 2.1 Manipulate algebraic expressions and solve equations

Changing the subject of the formula

e.g.Make F the subject of the formula C = algebraic formula

           Answer:

           The subject of this formula is C because it is the
           letter on its own.

           Changing the subject of a formula is the same as
           solving an equation.


             C = algebraic formula

            9C = 5(F – 32)    Multiply each side by 9 to undo
                                       the dividing by 9
          algebraic formulaC = F – 32       Divide each side by 5 to undo
                                      multiplying by 5
    algebraic formulaC + 32 = F            Add 32 to each side

              F = algebraic formulaC + 32

For more information see:
Changing the subject of a formula - higher
Literal equations
Solving literal equations
Rearrangement of formulae.

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