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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 704 · 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 + 2 = 41. What is n?
  2. 2.Solve: n/9 + 12 = 14. What is n?
  3. 3.Solve: 3p + 19 = 58. What is p?
  4. 4.Solve: y/9 + 20 = 27. What is y?
  5. 5.Solve: t/2 + 20 = 32. What is t?
  6. 6.Ananya is 3 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  7. 7.Solve: 9p − 51 = 21. What is p?
  8. 8.Joseph thinks of a number, multiplies it by 3 and then adds 30. The result is 66. What is the number?
  9. 9.Kavya is 4 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  10. 10.Solve: 3(n + 8) = 51. What is n?
  11. 11.Solve: 8n + 14 = 46. What is n?
  12. 12.Solve: 3(t + 3) = 39. What is t?
  13. 13.Arjun’s mother is three times as old as Arjun. Their ages add up to 40 years. How old is Arjun?
  14. 14.Solve: 8n − 7 = 41. What is n?
  15. 15.Solve: 3m + 13 = 49. What is m?
  16. 16.Solve: 8t − 36 = 36. What is t?
  17. 17.Meera’s mother is four times as old as Meera. Their ages add up to 55 years. How old is Meera?
  18. 18.Solve: x/3 + 19 = 31. What is x?
  19. 19.Solve: 2p − 11 = 19. What is p?
  20. 20.Solve: 6y − 22 = 38. What is y?
  21. 21.Solve: 3p − 7 = 8. What is p?
  22. 22.Solve: m/9 + 3 = 5. What is m?
  23. 23.Solve: t/2 + 5 = 7. What is t?
  24. 24.Solve: 4y − 31 = 13. What is y?
  25. 25.Tara is 8 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  26. 26.Farhan’s mother is three times as old as Farhan. Their ages add up to 36 years. How old is Farhan?
  27. 27.Aarav’s mother is four times as old as Aarav. Their ages add up to 30 years. How old is Aarav?
  28. 28.Solve: y/5 + 11 = 19. What is y?
  29. 29.Solve: 6m + 6 = 18. What is m?
  30. 30.Solve: y/3 + 17 = 24. What is y?
  31. 31.Manav’s mother is four times as old as Manav. Their ages add up to 40 years. How old is Manav?
  32. 32.Solve: 2m − 3 = 11. What is m?
  33. 33.Aarav is 3 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  34. 34.Rahul thinks of a number, multiplies it by 3 and then adds 30. The result is 54. What is the number?
  35. 35.Arjun thinks of a number, multiplies it by 2 and then adds 1. The result is 15. What is the number?
  36. 36.Dev is 8 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  37. 37.Solve: 5p + 11 = 21. What is p?
  38. 38.Joseph’s mother is four times as old as Joseph. Their ages add up to 55 years. How old is Joseph?
  39. 39.Solve: 7(t + 3) = 42. What is t?
  40. 40.Meera is 2 years older than a cousin. Their ages add up to 28 years. How old is the cousin?

Answer key

  1. 13
  2. 18
  3. 13
  4. 63
  5. 24
  6. 13
  7. 8
  8. 12
  9. 4
  10. 9
  11. 4
  12. 10
  13. 10
  14. 6
  15. 12
  16. 9
  17. 11
  18. 36
  19. 15
  20. 10
  21. 5
  22. 18
  23. 4
  24. 11
  25. 10
  26. 9
  27. 6
  28. 40
  29. 2
  30. 21
  31. 8
  32. 7
  33. 11
  34. 8
  35. 7
  36. 4
  37. 2
  38. 11
  39. 3
  40. 13

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