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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 620 · 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.Sneha’s mother is three times as old as Sneha. Their ages add up to 36 years. How old is Sneha?
  2. 2.Solve: y/2 + 8 = 20. What is y?
  3. 3.Solve: n/4 + 14 = 20. What is n?
  4. 4.Solve: 2t − 8 = 10. What is t?
  5. 5.Solve: 7t + 22 = 57. What is t?
  6. 6.Solve: n/4 + 11 = 23. What is n?
  7. 7.Solve: y/7 + 13 = 15. What is y?
  8. 8.Solve: 5y − 12 = 8. What is y?
  9. 9.Solve: 8p − 18 = 86. What is p?
  10. 10.Solve: 3p + 23 = 53. What is p?
  11. 11.Diya thinks of a number, multiplies it by 6 and then adds 20. The result is 62. What is the number?
  12. 12.Solve: 8y + 19 = 91. What is y?
  13. 13.Solve: 8m − 10 = 14. What is m?
  14. 14.Solve: 8m − 16 = 80. What is m?
  15. 15.Tara thinks of a number, multiplies it by 7 and then adds 8. The result is 15. What is the number?
  16. 16.Solve: 9m − 49 = 59. What is m?
  17. 17.Zoya is 7 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  18. 18.Solve: 6m − 11 = 73. What is m?
  19. 19.Solve: 3n + 12 = 39. What is n?
  20. 20.Saanvi is 6 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  21. 21.Solve: 8(m + 8) = 104. What is m?
  22. 22.Meera’s mother is three times as old as Meera. Their ages add up to 32 years. How old is Meera?
  23. 23.Solve: 5m + 22 = 37. What is m?
  24. 24.Solve: 2(t + 2) = 12. What is t?
  25. 25.Solve: 7y − 7 = 14. What is y?
  26. 26.Solve: 5(t + 1) = 50. What is t?
  27. 27.Sneha thinks of a number, multiplies it by 3 and then adds 23. The result is 32. What is the number?
  28. 28.Solve: 3m − 4 = 32. What is m?
  29. 29.Lakshmi thinks of a number, multiplies it by 2 and then adds 1. The result is 15. What is the number?
  30. 30.Solve: 5t − 17 = 43. What is t?
  31. 31.Solve: m/5 + 1 = 10. What is m?
  32. 32.Solve: 8(t + 7) = 120. What is t?
  33. 33.Saanvi thinks of a number, multiplies it by 3 and then adds 25. The result is 34. What is the number?
  34. 34.Solve: 9(t + 5) = 90. What is t?
  35. 35.Solve: 5(p + 4) = 70. What is p?
  36. 36.Joseph thinks of a number, multiplies it by 8 and then adds 7. The result is 71. What is the number?
  37. 37.Solve: 3t + 7 = 19. What is t?
  38. 38.Solve: 5(y + 5) = 90. What is y?
  39. 39.Solve: 4p + 30 = 70. What is p?
  40. 40.Solve: 4n + 6 = 26. What is n?

Answer key

  1. 9
  2. 24
  3. 24
  4. 9
  5. 5
  6. 48
  7. 14
  8. 4
  9. 13
  10. 10
  11. 7
  12. 9
  13. 3
  14. 12
  15. 1
  16. 12
  17. 5
  18. 14
  19. 9
  20. 11
  21. 5
  22. 8
  23. 3
  24. 4
  25. 3
  26. 9
  27. 3
  28. 12
  29. 7
  30. 12
  31. 45
  32. 8
  33. 3
  34. 5
  35. 10
  36. 8
  37. 4
  38. 13
  39. 10
  40. 5

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