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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 551 · 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.Aarav is 1 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  2. 2.Solve: 3m + 15 = 39. What is m?
  3. 3.Arjun’s mother is three times as old as Arjun. Their ages add up to 28 years. How old is Arjun?
  4. 4.Priya thinks of a number, multiplies it by 5 and then adds 17. The result is 32. What is the number?
  5. 5.Solve: n/2 + 13 = 18. What is n?
  6. 6.Arjun thinks of a number, multiplies it by 6 and then adds 7. The result is 37. What is the number?
  7. 7.Solve: 2n − 7 = 17. What is n?
  8. 8.Solve: 6t − 53 = 31. What is t?
  9. 9.Diya thinks of a number, multiplies it by 3 and then adds 17. The result is 32. What is the number?
  10. 10.Isha thinks of a number, multiplies it by 3 and then adds 23. The result is 65. What is the number?
  11. 11.Solve: 3y − 23 = 16. What is y?
  12. 12.Solve: 9p + 9 = 27. What is p?
  13. 13.Solve: 5(x + 7) = 85. What is x?
  14. 14.Nisha thinks of a number, multiplies it by 5 and then adds 16. The result is 71. What is the number?
  15. 15.Arjun thinks of a number, multiplies it by 5 and then adds 7. The result is 22. What is the number?
  16. 16.Lakshmi thinks of a number, multiplies it by 5 and then adds 8. The result is 73. What is the number?
  17. 17.Diya thinks of a number, multiplies it by 5 and then adds 2. The result is 57. What is the number?
  18. 18.Riya thinks of a number, multiplies it by 9 and then adds 6. The result is 51. What is the number?
  19. 19.Solve: x/5 + 8 = 21. What is x?
  20. 20.Saanvi’s mother is three times as old as Saanvi. Their ages add up to 16 years. How old is Saanvi?
  21. 21.Solve: 9x − 60 = 48. What is x?
  22. 22.Solve: 9y − 14 = 58. What is y?
  23. 23.Solve: p/7 + 7 = 14. What is p?
  24. 24.Solve: 6p + 10 = 64. What is p?
  25. 25.Isha is 4 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  26. 26.Solve: 3t + 18 = 24. What is t?
  27. 27.Solve: 8t + 9 = 41. What is t?
  28. 28.Solve: 9x − 14 = 49. What is x?
  29. 29.Pooja’s mother is twice as old as Pooja. Their ages add up to 12 years. How old is Pooja?
  30. 30.Isha thinks of a number, multiplies it by 3 and then adds 8. The result is 50. What is the number?
  31. 31.Saanvi is 2 years older than a cousin. Their ages add up to 10 years. How old is the cousin?
  32. 32.Solve: 5m + 23 = 93. What is m?
  33. 33.Solve: 9x − 79 = 38. What is x?
  34. 34.Solve: 6m + 18 = 66. What is m?
  35. 35.Aditya is 3 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  36. 36.Solve: p/6 + 1 = 11. What is p?
  37. 37.Solve: 7n + 4 = 18. What is n?
  38. 38.Diya thinks of a number, multiplies it by 9 and then adds 4. The result is 67. What is the number?
  39. 39.Solve: 2t + 7 = 13. What is t?
  40. 40.Solve: 7y + 4 = 25. What is y?

Answer key

  1. 8
  2. 8
  3. 7
  4. 3
  5. 10
  6. 5
  7. 12
  8. 14
  9. 5
  10. 14
  11. 13
  12. 2
  13. 10
  14. 11
  15. 3
  16. 13
  17. 11
  18. 5
  19. 65
  20. 4
  21. 12
  22. 8
  23. 49
  24. 9
  25. 14
  26. 2
  27. 4
  28. 7
  29. 4
  30. 14
  31. 4
  32. 14
  33. 13
  34. 8
  35. 14
  36. 60
  37. 2
  38. 7
  39. 3
  40. 3

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