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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 227 · 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.Vivaan thinks of a number, multiplies it by 3 and then adds 22. The result is 52. What is the number?
  2. 2.Diya is 1 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  3. 3.Solve: 8n + 28 = 36. What is n?
  4. 4.Solve: p/4 + 16 = 30. What is p?
  5. 5.Aarav thinks of a number, multiplies it by 6 and then adds 23. The result is 89. What is the number?
  6. 6.Solve: 4p + 4 = 16. What is p?
  7. 7.Solve: 6t + 20 = 26. What is t?
  8. 8.Solve: 7(y + 3) = 63. What is y?
  9. 9.Solve: 9t − 15 = 12. What is t?
  10. 10.Manav thinks of a number, multiplies it by 3 and then adds 26. The result is 41. What is the number?
  11. 11.Solve: x/3 + 14 = 26. What is x?
  12. 12.Solve: 2t − 11 = 1. What is t?
  13. 13.Solve: 9x − 98 = 28. What is x?
  14. 14.Solve: p/4 + 1 = 3. What is p?
  15. 15.Solve: 2t + 25 = 47. What is t?
  16. 16.Solve: p/4 + 3 = 15. What is p?
  17. 17.Solve: 3(t + 9) = 30. What is t?
  18. 18.Solve: 3t + 3 = 45. What is t?
  19. 19.Solve: 5(y + 9) = 50. What is y?
  20. 20.Solve: 8x + 19 = 75. What is x?
  21. 21.Farhan’s mother is four times as old as Farhan. Their ages add up to 60 years. How old is Farhan?
  22. 22.Solve: 6n − 8 = 10. What is n?
  23. 23.Solve: 6t − 57 = 15. What is t?
  24. 24.Solve: y/3 + 4 = 7. What is y?
  25. 25.Solve: 5p + 4 = 59. What is p?
  26. 26.Solve: 4(x + 8) = 56. What is x?
  27. 27.Solve: 2p − 1 = 7. What is p?
  28. 28.Solve: 3x + 6 = 18. What is x?
  29. 29.Solve: n/6 + 18 = 20. What is n?
  30. 30.Solve: 7n − 17 = 60. What is n?
  31. 31.Kavya thinks of a number, multiplies it by 3 and then adds 27. The result is 57. What is the number?
  32. 32.Solve: 9p + 3 = 57. What is p?
  33. 33.Solve: 5n + 6 = 51. What is n?
  34. 34.Karan’s mother is twice as old as Karan. Their ages add up to 42 years. How old is Karan?
  35. 35.Zoya thinks of a number, multiplies it by 5 and then adds 22. The result is 42. What is the number?
  36. 36.Solve: 5(x + 9) = 60. What is x?
  37. 37.Solve: 9(n + 9) = 216. What is n?
  38. 38.Solve: 3x − 1 = 35. What is x?
  39. 39.Aditya’s mother is twice as old as Aditya. Their ages add up to 39 years. How old is Aditya?
  40. 40.Solve: 8x − 51 = 37. What is x?

Answer key

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

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