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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 387 · 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: 6t − 42 = 12. What is t?
  2. 2.Solve: y/2 + 13 = 22. What is y?
  3. 3.Solve: y/3 + 12 = 21. What is y?
  4. 4.Solve: 9t − 10 = 62. What is t?
  5. 5.Rahul is 2 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  6. 6.Zoya’s mother is twice as old as Zoya. Their ages add up to 18 years. How old is Zoya?
  7. 7.Rohan thinks of a number, multiplies it by 8 and then adds 20. The result is 52. What is the number?
  8. 8.Solve: m/9 + 10 = 20. What is m?
  9. 9.Vivaan thinks of a number, multiplies it by 5 and then adds 26. The result is 91. What is the number?
  10. 10.Solve: m/4 + 15 = 17. What is m?
  11. 11.Zoya is 3 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  12. 12.Solve: y/3 + 13 = 19. What is y?
  13. 13.Solve: 3(p + 2) = 9. What is p?
  14. 14.Solve: 8(p + 8) = 152. What is p?
  15. 15.Solve: 7(p + 3) = 70. What is p?
  16. 16.Arjun’s mother is twice as old as Arjun. Their ages add up to 36 years. How old is Arjun?
  17. 17.Ishaan thinks of a number, multiplies it by 2 and then adds 26. The result is 56. What is the number?
  18. 18.Nisha thinks of a number, multiplies it by 4 and then adds 8. The result is 64. What is the number?
  19. 19.Solve: 9n + 24 = 141. What is n?
  20. 20.Solve: 7(y + 6) = 63. What is y?
  21. 21.Kabir thinks of a number, multiplies it by 6 and then adds 9. The result is 51. What is the number?
  22. 22.Solve: 7t − 32 = 59. What is t?
  23. 23.Solve: 9n − 77 = 13. What is n?
  24. 24.Solve: 2(m + 9) = 36. What is m?
  25. 25.Solve: x/6 + 18 = 21. What is x?
  26. 26.Rahul’s mother is four times as old as Rahul. Their ages add up to 75 years. How old is Rahul?
  27. 27.Pooja thinks of a number, multiplies it by 5 and then adds 1. The result is 46. What is the number?
  28. 28.Meera thinks of a number, multiplies it by 2 and then adds 2. The result is 6. What is the number?
  29. 29.Solve: x/8 + 17 = 24. What is x?
  30. 30.Solve: 7x + 26 = 61. What is x?
  31. 31.Solve: 3m + 26 = 53. What is m?
  32. 32.Solve: 2m + 18 = 20. What is m?
  33. 33.Solve: m/6 + 15 = 23. What is m?
  34. 34.Kabir is 6 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  35. 35.Solve: 8n − 8 = 48. What is n?
  36. 36.Solve: t/3 + 10 = 24. What is t?
  37. 37.Saanvi thinks of a number, multiplies it by 4 and then adds 7. The result is 43. What is the number?
  38. 38.Solve: 5t + 16 = 56. What is t?
  39. 39.Solve: 9(y + 3) = 162. What is y?
  40. 40.Solve: 3y − 5 = 31. What is y?

Answer key

  1. 9
  2. 18
  3. 27
  4. 8
  5. 6
  6. 6
  7. 4
  8. 90
  9. 13
  10. 8
  11. 13
  12. 18
  13. 1
  14. 11
  15. 7
  16. 12
  17. 15
  18. 14
  19. 13
  20. 3
  21. 7
  22. 13
  23. 10
  24. 9
  25. 18
  26. 15
  27. 9
  28. 2
  29. 56
  30. 5
  31. 9
  32. 1
  33. 48
  34. 8
  35. 7
  36. 42
  37. 9
  38. 8
  39. 15
  40. 12

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