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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 83 · 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.Rahul is 8 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  2. 2.Diya’s mother is three times as old as Diya. Their ages add up to 24 years. How old is Diya?
  3. 3.Solve: 9m + 24 = 105. What is m?
  4. 4.Solve: 4x + 10 = 66. What is x?
  5. 5.Solve: 8(n + 2) = 128. What is n?
  6. 6.Sneha is 3 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  7. 7.Solve: 9n + 1 = 37. What is n?
  8. 8.Riya’s mother is three times as old as Riya. Their ages add up to 56 years. How old is Riya?
  9. 9.Solve: 9t + 28 = 46. What is t?
  10. 10.Solve: 8(m + 3) = 104. What is m?
  11. 11.Rahul thinks of a number, multiplies it by 3 and then adds 20. The result is 53. What is the number?
  12. 12.Solve: 6t − 17 = 19. What is t?
  13. 13.Diya is 4 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  14. 14.Solve: 7y − 4 = 52. What is y?
  15. 15.Solve: 9y − 40 = 86. What is y?
  16. 16.Saanvi is 2 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  17. 17.Dev is 5 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  18. 18.Solve: 9y + 11 = 29. What is y?
  19. 19.Solve: 3p + 17 = 50. What is p?
  20. 20.Solve: n/7 + 2 = 5. What is n?
  21. 21.Solve: 3(y + 7) = 39. What is y?
  22. 22.Solve: 6(y + 2) = 30. What is y?
  23. 23.Solve: 5x − 6 = 64. What is x?
  24. 24.Zoya thinks of a number, multiplies it by 4 and then adds 19. The result is 51. What is the number?
  25. 25.Solve: 9t − 109 = 26. What is t?
  26. 26.Riya is 2 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  27. 27.Solve: 7n + 11 = 74. What is n?
  28. 28.Ishaan thinks of a number, multiplies it by 2 and then adds 17. The result is 23. What is the number?
  29. 29.Solve: 3m + 5 = 11. What is m?
  30. 30.Solve: m/4 + 17 = 27. What is m?
  31. 31.Solve: 7n − 28 = 42. What is n?
  32. 32.Solve: y/3 + 1 = 12. What is y?
  33. 33.Solve: x/5 + 4 = 8. What is x?
  34. 34.Solve: 9n − 8 = 1. What is n?
  35. 35.Aditya thinks of a number, multiplies it by 8 and then adds 4. The result is 20. What is the number?
  36. 36.Solve: t/5 + 12 = 18. What is t?
  37. 37.Solve: x/4 + 1 = 14. What is x?
  38. 38.Aditya’s mother is twice as old as Aditya. Their ages add up to 18 years. How old is Aditya?
  39. 39.Solve: 4(p + 2) = 60. What is p?
  40. 40.Solve: m/5 + 17 = 19. What is m?

Answer key

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

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