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Solve equations with squares and fractions

Year 8 maths · Fieldbook Learning

Name ______________________ Date __________

Take the root of both sides to undo the power.

  1. Solve x² = 1/100. Write the positive solution as a fraction.
  2. Solve x² = 16/81. Write the positive solution as a fraction.
  3. Solve x² = 4/25. Write the positive solution as a fraction.
  4. Solve x² = 9/49. Write the positive solution as a fraction.
  5. Solve x² = 81/49. Write the positive solution as a fraction.
  6. Solve x² = 1/36. Write the positive solution as a fraction.
  7. Solve x² = 121/169. Write the positive solution as a fraction.
  8. Solve x² = 36/25. Write the positive solution as a fraction.
  9. Solve x² = 49/144. Write the positive solution as a fraction.
  10. Solve x² = 25/81. Write the positive solution as a fraction.
  11. Solve x² = 49/25. Write the positive solution as a fraction.
  12. Solve x² = 64/225. Write the positive solution as a fraction.
  13. Solve x² = 400/121. Write the positive solution as a fraction.
  14. Solve x² = 289/25. Write the positive solution as a fraction.
  15. Solve x² = 9/100. Write the positive solution as a fraction.
  16. Solve x² = 25/9. Write the positive solution as a fraction.
  17. Solve x² = 121/25. Write the positive solution as a fraction.
  18. Solve x² = 9/361. Write the positive solution as a fraction.
  19. Solve x² = 441/25. Write the positive solution as a fraction.
  20. Solve x² = 576/49. Write the positive solution as a fraction.
More free practice: fieldbooklearning.com/au/practice/year-8/solve-equations-with-squares-and-fractions/

Answer key: Solve equations with squares and fractions

  1. 1/10
  2. 4/9
  3. 2/5
  4. 3/7
  5. 9/7
  6. 1/6
  7. 11/13
  8. 6/5
  9. 7/12
  10. 5/9
  11. 7/5
  12. 8/15
  13. 20/11
  14. 17/5
  15. 3/10
  16. 5/3
  17. 11/5
  18. 3/19
  19. 21/5
  20. 24/7