AI generatedAlgebraGCSE Higher

Rearranging when the subject appears twice

Collect and factorise the subject.

  • 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.

Factor out ., so the divisor is non-zero.

Example 2

Make the subject.

Factor out ., so the divisor is non-zero.

Your turn

Question 1

Make the subject.

Check answer
Factor out ., so the divisor is non-zero.
Question 2

Make the subject.

Check answer
Factor out ., so the divisor is non-zero.
Question 3

Make the subject.

Check answer
Factor out ., so the divisor is non-zero.
Question 4

Make the subject.

Check answer
Factor out ., so the divisor is non-zero.
Question 5

Make the subject.

Check answer
Factor out ., so the divisor is non-zero.
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