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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 409 · 40 sums
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The method (Undo in reverse): ax + b = c → ax = c − b → x = (c − b) ÷ a. ax − b = c → ax = c + b. x/a + b = c → x/a = c − b → x = a × (c − b). a(x + b) = c → divide by a first: x + b = c ÷ a. Word problems: call the unknown x, write the equation, solve it, then check with the story.

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  1. 1.Solve: 5m − 7 = 53. What is m?
  2. 2.Solve: 5(n + 4) = 60. What is n?
  3. 3.Solve: x/9 + 3 = 14. What is x?
  4. 4.Solve: n/3 + 15 = 24. What is n?
  5. 5.Solve: 6(p + 8) = 102. What is p?
  6. 6.Aarav thinks of a number, multiplies it by 3 and then adds 2. The result is 11. What is the number?
  7. 7.Kavya thinks of a number, multiplies it by 5 and then adds 15. The result is 25. What is the number?
  8. 8.Solve: 8(y + 5) = 48. What is y?
  9. 9.Solve: y/2 + 10 = 20. What is y?
  10. 10.Solve: 5n − 27 = 13. What is n?
  11. 11.Solve: t/4 + 14 = 27. What is t?
  12. 12.Solve: 9y + 17 = 35. What is y?
  13. 13.Solve: x/5 + 13 = 14. What is x?
  14. 14.Solve: 2t − 11 = 7. What is t?
  15. 15.Vivaan thinks of a number, multiplies it by 7 and then adds 18. The result is 116. What is the number?
  16. 16.Solve: 5t − 2 = 38. What is t?
  17. 17.Solve: t/4 + 20 = 21. What is t?
  18. 18.Solve: 2p − 4 = 4. What is p?
  19. 19.Solve: 5x − 7 = 33. What is x?
  20. 20.Solve: 8x − 5 = 67. What is x?
  21. 21.Solve: 5(y + 7) = 55. What is y?
  22. 22.Ananya thinks of a number, multiplies it by 8 and then adds 21. The result is 37. What is the number?
  23. 23.Kabir is 2 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  24. 24.Solve: 7y + 17 = 52. What is y?
  25. 25.Solve: p/9 + 6 = 8. What is p?
  26. 26.Solve: 3m − 14 = 19. What is m?
  27. 27.Sneha’s mother is twice as old as Sneha. Their ages add up to 24 years. How old is Sneha?
  28. 28.Solve: 6x + 26 = 50. What is x?
  29. 29.Solve: m/4 + 14 = 22. What is m?
  30. 30.Solve: 6m − 70 = 20. What is m?
  31. 31.Diya is 7 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  32. 32.Solve: 7p + 26 = 89. What is p?
  33. 33.Solve: 9p + 5 = 41. What is p?
  34. 34.Solve: 7p + 5 = 12. What is p?
  35. 35.Solve: 9n + 29 = 38. What is n?
  36. 36.Solve: 3x − 24 = 18. What is x?
  37. 37.Solve: 7n − 23 = 12. What is n?
  38. 38.Solve: 3x − 4 = 35. What is x?
  39. 39.Solve: x/3 + 14 = 21. What is x?
  40. 40.Solve: 9m + 13 = 121. What is m?

Answer key

  1. 12
  2. 8
  3. 99
  4. 27
  5. 9
  6. 3
  7. 2
  8. 1
  9. 20
  10. 8
  11. 52
  12. 2
  13. 5
  14. 9
  15. 14
  16. 8
  17. 4
  18. 4
  19. 8
  20. 9
  21. 4
  22. 2
  23. 8
  24. 5
  25. 18
  26. 11
  27. 8
  28. 4
  29. 32
  30. 15
  31. 9
  32. 9
  33. 4
  34. 1
  35. 1
  36. 14
  37. 5
  38. 13
  39. 21
  40. 12

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