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Changing the Subject: Squares & Roots (Year 10)

Free printable UK Year 10 (GCSE Foundation) maths worksheet: rearrange formulae where the subject is squared (such as A = pi r^2) using a square root.

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Grade 9 Β· Math worksheet
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Math

Changing the Subject: Squares & Roots

Rearrange each formula to make x the subject, where x is squared. Undo the operations in reverse order, taking a square root last, and give the positive root since x represents a length.

  1. 1.
    Make x the subject of A = 2x^2 (x is a positive length).
  2. 2.
    Make x the subject of A = 4x^2 (x is a positive length).
  3. 3.
    Make x the subject of A = 8x^2 (x is a positive length).
  4. 4.
    Make x the subject of A = 7x^2 (x is a positive length).
  5. 5.
    Make x the subject of y = x2x^{2} + 8 (x is a positive length).
  6. 6.
    Make x the subject of y = x2x^{2} + 17 (x is a positive length).
  7. 7.
    Make x the subject of y = x2x^{2} + 15 (x is a positive length).
  8. 8.
    Make x the subject of y = x2x^{2} + 16 (x is a positive length).
  9. 9.
    Make x the subject of y = x2x^{2} - 5 (x is a positive length).
  10. 10.
    Make x the subject of y = x2x^{2} - 13 (x is a positive length).
  11. 11.
    Make x the subject of y = x2x^{2} - 20 (x is a positive length).
  12. 12.
    Make x the subject of y = 3x^2 + 4 (x is a positive length).
  13. 13.
    Make x the subject of y = 4x^2 + 2 (x is a positive length).
  14. 14.
    Make x the subject of y = 3x^2 + 14 (x is a positive length).
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