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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 96 · 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: 3n + 25 = 28. What is n?
  2. 2.Pooja is 1 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  3. 3.Zoya’s mother is twice as old as Zoya. Their ages add up to 21 years. How old is Zoya?
  4. 4.Solve: 8(n + 7) = 120. What is n?
  5. 5.Lakshmi thinks of a number, multiplies it by 9 and then adds 12. The result is 138. What is the number?
  6. 6.Solve: 3(m + 1) = 48. What is m?
  7. 7.Vivaan thinks of a number, multiplies it by 2 and then adds 17. The result is 37. What is the number?
  8. 8.Solve: 4m − 5 = 15. What is m?
  9. 9.Solve: y/7 + 20 = 35. What is y?
  10. 10.Solve: 4n + 11 = 39. What is n?
  11. 11.Solve: x/6 + 2 = 8. What is x?
  12. 12.Solve: 8x + 10 = 106. What is x?
  13. 13.Meera is 5 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  14. 14.Solve: 4x + 27 = 51. What is x?
  15. 15.Solve: 6n + 13 = 49. What is n?
  16. 16.Solve: x/3 + 4 = 12. What is x?
  17. 17.Solve: n/7 + 4 = 5. What is n?
  18. 18.Solve: 6m − 11 = 79. What is m?
  19. 19.Solve: y/4 + 19 = 31. What is y?
  20. 20.Solve: 2m + 15 = 41. What is m?
  21. 21.Ananya thinks of a number, multiplies it by 2 and then adds 9. The result is 17. What is the number?
  22. 22.Manav thinks of a number, multiplies it by 9 and then adds 4. The result is 103. What is the number?
  23. 23.Solve: 7m − 28 = 77. What is m?
  24. 24.Solve: p/7 + 15 = 28. What is p?
  25. 25.Solve: 5p − 21 = 9. What is p?
  26. 26.Solve: x/6 + 1 = 16. What is x?
  27. 27.Solve: 7m − 6 = 15. What is m?
  28. 28.Rohan thinks of a number, multiplies it by 7 and then adds 17. The result is 38. What is the number?
  29. 29.Solve: 4m − 12 = 4. What is m?
  30. 30.Solve: p/3 + 19 = 32. What is p?
  31. 31.Solve: 2p + 25 = 53. What is p?
  32. 32.Solve: 6(x + 6) = 78. What is x?
  33. 33.Solve: m/8 + 8 = 19. What is m?
  34. 34.Solve: 8x − 12 = 52. What is x?
  35. 35.Aditya thinks of a number, multiplies it by 5 and then adds 7. The result is 17. What is the number?
  36. 36.Solve: p/3 + 3 = 11. What is p?
  37. 37.Solve: 2p + 21 = 31. What is p?
  38. 38.Gurpreet thinks of a number, multiplies it by 2 and then adds 19. The result is 23. What is the number?
  39. 39.Solve: 5(x + 5) = 55. What is x?
  40. 40.Rohan thinks of a number, multiplies it by 4 and then adds 5. The result is 33. What is the number?

Answer key

  1. 1
  2. 11
  3. 7
  4. 8
  5. 14
  6. 15
  7. 10
  8. 5
  9. 105
  10. 7
  11. 36
  12. 12
  13. 12
  14. 6
  15. 6
  16. 24
  17. 7
  18. 15
  19. 48
  20. 13
  21. 4
  22. 11
  23. 15
  24. 91
  25. 6
  26. 90
  27. 3
  28. 3
  29. 4
  30. 39
  31. 14
  32. 7
  33. 88
  34. 8
  35. 2
  36. 24
  37. 5
  38. 2
  39. 6
  40. 7

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