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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 861 · 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: y/7 + 4 = 14. What is y?
  2. 2.Solve: 7(y + 5) = 77. What is y?
  3. 3.Solve: 6(n + 4) = 36. What is n?
  4. 4.Arjun’s mother is twice as old as Arjun. Their ages add up to 30 years. How old is Arjun?
  5. 5.Riya thinks of a number, multiplies it by 8 and then adds 23. The result is 71. What is the number?
  6. 6.Solve: 4y − 2 = 10. What is y?
  7. 7.Solve: 8t + 27 = 59. What is t?
  8. 8.Diya thinks of a number, multiplies it by 4 and then adds 1. The result is 57. What is the number?
  9. 9.Manav thinks of a number, multiplies it by 4 and then adds 26. The result is 58. What is the number?
  10. 10.Solve: 6x − 7 = 47. What is x?
  11. 11.Riya thinks of a number, multiplies it by 6 and then adds 1. The result is 67. What is the number?
  12. 12.Solve: 8t + 16 = 32. What is t?
  13. 13.Solve: x/6 + 10 = 24. What is x?
  14. 14.Solve: 6n + 23 = 71. What is n?
  15. 15.Solve: p/9 + 7 = 17. What is p?
  16. 16.Solve: 2t − 1 = 5. What is t?
  17. 17.Solve: 3x + 29 = 68. What is x?
  18. 18.Solve: 8y + 26 = 66. What is y?
  19. 19.Aditya’s mother is four times as old as Aditya. Their ages add up to 20 years. How old is Aditya?
  20. 20.Joseph thinks of a number, multiplies it by 5 and then adds 6. The result is 16. What is the number?
  21. 21.Solve: x/2 + 7 = 19. What is x?
  22. 22.Solve: 6t + 10 = 52. What is t?
  23. 23.Solve: 8(p + 5) = 64. What is p?
  24. 24.Solve: 8t + 16 = 56. What is t?
  25. 25.Solve: 6p + 8 = 14. What is p?
  26. 26.Solve: 8(y + 6) = 56. What is y?
  27. 27.Solve: t/4 + 15 = 21. What is t?
  28. 28.Solve: 9x + 11 = 56. What is x?
  29. 29.Solve: 8t − 30 = 58. What is t?
  30. 30.Rohan’s mother is three times as old as Rohan. Their ages add up to 40 years. How old is Rohan?
  31. 31.Solve: 2(x + 7) = 26. What is x?
  32. 32.Nisha thinks of a number, multiplies it by 6 and then adds 18. The result is 96. What is the number?
  33. 33.Priya thinks of a number, multiplies it by 5 and then adds 9. The result is 54. What is the number?
  34. 34.Solve: 3y − 18 = 9. What is y?
  35. 35.Solve: 5n + 8 = 68. What is n?
  36. 36.Solve: 3p + 3 = 27. What is p?
  37. 37.Diya thinks of a number, multiplies it by 4 and then adds 21. The result is 33. What is the number?
  38. 38.Solve: 9(p + 2) = 81. What is p?
  39. 39.Priya’s mother is four times as old as Priya. Their ages add up to 30 years. How old is Priya?
  40. 40.Solve: 5p + 29 = 74. What is p?

Answer key

  1. 70
  2. 6
  3. 2
  4. 10
  5. 6
  6. 3
  7. 4
  8. 14
  9. 8
  10. 9
  11. 11
  12. 2
  13. 84
  14. 8
  15. 90
  16. 3
  17. 13
  18. 5
  19. 4
  20. 2
  21. 24
  22. 7
  23. 3
  24. 5
  25. 1
  26. 1
  27. 24
  28. 5
  29. 11
  30. 10
  31. 6
  32. 13
  33. 9
  34. 9
  35. 12
  36. 8
  37. 3
  38. 7
  39. 6
  40. 9

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