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Solve equations with squares

Grade 8 math · Fieldbook Learning

Name ______________________ Date __________

Take the root of both sides to undo the power.

  1. Solve n² = 225. Write the positive solution.
  2. Solve y² = 16. Write the positive solution.
  3. Solve y² = 49. Write the positive solution.
  4. Solve n² = 100. Write the positive solution.
  5. Solve n² = 361. Write the positive solution.
  6. Solve x² = 361. Write the positive solution.
  7. Solve a² = 121. Write the positive solution.
  8. Solve a² = 400. Write the positive solution.
  9. Solve x² = 49. Write the positive solution.
  10. Solve x² = 9. Write the positive solution.
  11. Solve n² = 64. Write the positive solution.
  12. Solve n² = 576. Write the positive solution.
  13. Solve n² = 625. Write the positive solution.
  14. Solve a² = 196. Write the positive solution.
  15. Solve n² = 81. Write the positive solution.
  16. Solve a² = 361. Write the positive solution.
  17. Solve x² = 25. Write the positive solution.
  18. Solve x² = 400. Write the positive solution.
  19. Solve x² = 225. Write the positive solution.
  20. Solve x² = 484. Write the positive solution.
More free practice: fieldbooklearning.com/ca/practice/grade-8/solve-equations-with-squares/

Play it as a quiz game

20 of these questions as multiple choice, with near-miss wrong answers, ready for Kahoot or Blooket.

  1. Download the game's own question template: in Kahoot, Add question → Import spreadsheet; in Blooket, Create a set → Spreadsheet import.
  2. Click the matching button below, then click the first empty question row of the template and paste.
  3. Save the template (Kahoot needs .xlsx, Blooket .csv) and upload it.
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Answer key: Solve equations with squares

  1. 15
  2. 4
  3. 7
  4. 10
  5. 19
  6. 19
  7. 11
  8. 20
  9. 7
  10. 3
  11. 8
  12. 24
  13. 25
  14. 14
  15. 9
  16. 19
  17. 5
  18. 20
  19. 15
  20. 22