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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 234 · 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 + 24 = 30. What is n?
  2. 2.Solve: 5m + 30 = 40. What is m?
  3. 3.Solve: p/2 + 14 = 25. What is p?
  4. 4.Solve: 3t + 7 = 16. What is t?
  5. 5.Isha is 2 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  6. 6.Vivaan’s mother is four times as old as Vivaan. Their ages add up to 70 years. How old is Vivaan?
  7. 7.Solve: 7y − 16 = 12. What is y?
  8. 8.Manav thinks of a number, multiplies it by 7 and then adds 30. The result is 44. What is the number?
  9. 9.Solve: 4p − 25 = 19. What is p?
  10. 10.Solve: 6n − 28 = 2. What is n?
  11. 11.Kabir is 2 years older than a cousin. Their ages add up to 10 years. How old is the cousin?
  12. 12.Pooja is 1 years older than a cousin. Their ages add up to 9 years. How old is the cousin?
  13. 13.Lakshmi thinks of a number, multiplies it by 3 and then adds 13. The result is 16. What is the number?
  14. 14.Solve: n/4 + 5 = 9. What is n?
  15. 15.Solve: 8t + 21 = 133. What is t?
  16. 16.Solve: 4(n + 5) = 56. What is n?
  17. 17.Solve: 3m − 10 = 35. What is m?
  18. 18.Solve: 5n + 6 = 46. What is n?
  19. 19.Solve: 8m − 28 = 4. What is m?
  20. 20.Solve: 5x + 1 = 31. What is x?
  21. 21.Solve: 3(n + 6) = 63. What is n?
  22. 22.Solve: 2m − 21 = 3. What is m?
  23. 23.Solve: 8p − 14 = 26. What is p?
  24. 24.Solve: 3n − 15 = 12. What is n?
  25. 25.Solve: 7t − 71 = 27. What is t?
  26. 26.Sneha’s mother is three times as old as Sneha. Their ages add up to 60 years. How old is Sneha?
  27. 27.Solve: 3(t + 4) = 57. What is t?
  28. 28.Arjun is 2 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  29. 29.Dev thinks of a number, multiplies it by 2 and then adds 1. The result is 19. What is the number?
  30. 30.Solve: 3n − 1 = 2. What is n?
  31. 31.Aditya’s mother is three times as old as Aditya. Their ages add up to 28 years. How old is Aditya?
  32. 32.Solve: 6x + 3 = 81. What is x?
  33. 33.Solve: 2(p + 3) = 12. What is p?
  34. 34.Solve: 5(x + 4) = 45. What is x?
  35. 35.Solve: 3(p + 3) = 24. What is p?
  36. 36.Vivaan thinks of a number, multiplies it by 3 and then adds 8. The result is 11. What is the number?
  37. 37.Solve: 8m − 30 = 42. What is m?
  38. 38.Solve: m/2 + 6 = 14. What is m?
  39. 39.Solve: 8p − 91 = 13. What is p?
  40. 40.Solve: t/2 + 5 = 10. What is t?

Answer key

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

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