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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 354 · 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 thinks of a number, multiplies it by 3 and then adds 29. The result is 56. What is the number?
  2. 2.Rohan thinks of a number, multiplies it by 2 and then adds 13. The result is 17. What is the number?
  3. 3.Solve: 9(y + 1) = 108. What is y?
  4. 4.Manav’s mother is four times as old as Manav. Their ages add up to 30 years. How old is Manav?
  5. 5.Solve: p/8 + 8 = 13. What is p?
  6. 6.Solve: 4(n + 9) = 84. What is n?
  7. 7.Solve: 5m + 1 = 21. What is m?
  8. 8.Aditya thinks of a number, multiplies it by 6 and then adds 5. The result is 41. What is the number?
  9. 9.Kabir is 8 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  10. 10.Solve: 5(t + 5) = 55. What is t?
  11. 11.Solve: 9(m + 3) = 153. What is m?
  12. 12.Solve: 7y + 11 = 53. What is y?
  13. 13.Ishaan thinks of a number, multiplies it by 2 and then adds 14. The result is 22. What is the number?
  14. 14.Solve: 5(t + 5) = 40. What is t?
  15. 15.Arjun is 7 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  16. 16.Solve: 2m − 8 = 16. What is m?
  17. 17.Kabir thinks of a number, multiplies it by 9 and then adds 19. The result is 82. What is the number?
  18. 18.Solve: 5(t + 5) = 35. What is t?
  19. 19.Solve: 2x + 15 = 35. What is x?
  20. 20.Solve: 3(y + 2) = 36. What is y?
  21. 21.Solve: 6x + 6 = 18. What is x?
  22. 22.Solve: 6(p + 4) = 66. What is p?
  23. 23.Solve: 9x + 11 = 38. What is x?
  24. 24.Solve: m/2 + 8 = 20. What is m?
  25. 25.Solve: 3n + 23 = 29. What is n?
  26. 26.Rohan thinks of a number, multiplies it by 7 and then adds 16. The result is 51. What is the number?
  27. 27.Pooja thinks of a number, multiplies it by 8 and then adds 1. The result is 113. What is the number?
  28. 28.Isha’s mother is three times as old as Isha. Their ages add up to 20 years. How old is Isha?
  29. 29.Solve: 6(x + 5) = 72. What is x?
  30. 30.Solve: 3(t + 7) = 60. What is t?
  31. 31.Joseph thinks of a number, multiplies it by 8 and then adds 18. The result is 42. What is the number?
  32. 32.Karan’s mother is three times as old as Karan. Their ages add up to 24 years. How old is Karan?
  33. 33.Solve: 2p + 15 = 33. What is p?
  34. 34.Aarav thinks of a number, multiplies it by 3 and then adds 6. The result is 9. What is the number?
  35. 35.Solve: 9y − 19 = 62. What is y?
  36. 36.Karan is 8 years older than a cousin. Their ages add up to 38 years. How old is the cousin?
  37. 37.Arjun is 5 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  38. 38.Solve: m/7 + 12 = 13. What is m?
  39. 39.Solve: 9y + 16 = 34. What is y?
  40. 40.Solve: 8(n + 9) = 192. What is n?

Answer key

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

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