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Solve equations with squares: both solutions

Grade 8 math · Fieldbook Learning

Name ______________________ Date __________

Take the root of both sides to undo the power.

  1. Solve x² = 100. Write both solutions, smaller one first, like -3, 3.
  2. Solve a² = 36. Write both solutions, smaller one first, like -3, 3.
  3. Solve y² = 144. Write both solutions, smaller one first, like -3, 3.
  4. Solve y² = 16. Write both solutions, smaller one first, like -3, 3.
  5. Solve y² = 25. Write both solutions, smaller one first, like -3, 3.
  6. Solve x² = 16. Write both solutions, smaller one first, like -3, 3.
  7. Solve a² = 144. Write both solutions, smaller one first, like -3, 3.
  8. Solve x² = 121. Write both solutions, smaller one first, like -3, 3.
  9. Solve n² = 9. Write both solutions, smaller one first, like -3, 3.
  10. Solve n² = 25. Write both solutions, smaller one first, like -3, 3.
  11. Solve n² = 625. Write both solutions, smaller one first, like -3, 3.
  12. Solve a² = 121. Write both solutions, smaller one first, like -3, 3.
  13. Solve n² = 400. Write both solutions, smaller one first, like -3, 3.
  14. Solve x² = 4. Write both solutions, smaller one first, like -3, 3.
  15. Solve a² = 841. Write both solutions, smaller one first, like -3, 3.
  16. Solve y² = 49. Write both solutions, smaller one first, like -3, 3.
  17. Solve a² = 25. Write both solutions, smaller one first, like -3, 3.
  18. Solve y² = 36. Write both solutions, smaller one first, like -3, 3.
  19. Solve y² = 289. Write both solutions, smaller one first, like -3, 3.
  20. Solve n² = 100. Write both solutions, smaller one first, like -3, 3.
More free practice: fieldbooklearning.com/practice/grade-8/solve-equations-with-squares-both-solutions/

Answer key: Solve equations with squares: both solutions

  1. -10, 10
  2. -6, 6
  3. -12, 12
  4. -4, 4
  5. -5, 5
  6. -4, 4
  7. -12, 12
  8. -11, 11
  9. -3, 3
  10. -5, 5
  11. -25, 25
  12. -11, 11
  13. -20, 20
  14. -2, 2
  15. -29, 29
  16. -7, 7
  17. -5, 5
  18. -6, 6
  19. -17, 17
  20. -10, 10