AI generatedAlgebraGCSE Higher / IGCSE Extended

Rearranging a formula where the subject occurs in both numerator and denominator

Rearranging a formula where the subject occurs in both numerator and denominator.

  • The subject is the variable written alone on one side.
  • Apply the same operation to both sides. Keep brackets around a whole numerator or denominator.
  • Record restrictions: a denominator cannot be zero, and real square roots need non-negative inputs.

Example 1

Make the subject.

The denominator requires ≠ -2.Expand the left bracket.Factor out .Require P ≠ 2.

Example 2

Make the subject.

The denominator requires ≠ -3.Expand the left bracket.Factor out .Require P ≠ 3.

Your turn

Question 1

Make the subject.

Check answer
The denominator requires ≠ -4.Expand the left bracket.Factor out .Require P ≠ 4.
Question 2

Make the subject.

Check answer
The denominator requires ≠ -5.Expand the left bracket.Factor out .Require P ≠ 5.
Question 3

Make the subject.

Check answer
The denominator requires ≠ -6.Expand the left bracket.Factor out .Require P ≠ 6.
Question 4

Make the subject.

Check answer
The denominator requires ≠ -7.Expand the left bracket.Factor out .Require P ≠ 7.
Question 5

Make the subject.

Check answer
The denominator requires ≠ -8.Expand the left bracket.Factor out .Require P ≠ 8.
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