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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 352 · 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.Farhan thinks of a number, multiplies it by 9 and then adds 15. The result is 60. What is the number?
  2. 2.Solve: 7t + 11 = 46. What is t?
  3. 3.Solve: 5t + 2 = 47. What is t?
  4. 4.Solve: 9y − 27 = 54. What is y?
  5. 5.Solve: 5(x + 4) = 55. What is x?
  6. 6.Dev thinks of a number, multiplies it by 3 and then adds 15. The result is 39. What is the number?
  7. 7.Diya’s mother is three times as old as Diya. Their ages add up to 16 years. How old is Diya?
  8. 8.Solve: 3x − 5 = 10. What is x?
  9. 9.Solve: 6(m + 3) = 84. What is m?
  10. 10.Lakshmi is 7 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  11. 11.Solve: 8m + 7 = 23. What is m?
  12. 12.Solve: m/9 + 7 = 20. What is m?
  13. 13.Tara thinks of a number, multiplies it by 8 and then adds 13. The result is 21. What is the number?
  14. 14.Solve: x/9 + 11 = 17. What is x?
  15. 15.Solve: 3y + 24 = 63. What is y?
  16. 16.Solve: 5y − 9 = 61. What is y?
  17. 17.Solve: 3t − 1 = 2. What is t?
  18. 18.Solve: 3(t + 3) = 39. What is t?
  19. 19.Solve: n/2 + 6 = 21. What is n?
  20. 20.Solve: 5(x + 8) = 75. What is x?
  21. 21.Solve: 4p + 12 = 16. What is p?
  22. 22.Solve: y/8 + 17 = 22. What is y?
  23. 23.Solve: m/7 + 13 = 25. What is m?
  24. 24.Solve: 5p + 22 = 67. What is p?
  25. 25.Solve: 3y + 1 = 43. What is y?
  26. 26.Solve: 5p + 20 = 95. What is p?
  27. 27.Vivaan thinks of a number, multiplies it by 7 and then adds 1. The result is 106. What is the number?
  28. 28.Solve: 4(p + 5) = 64. What is p?
  29. 29.Solve: 8x − 8 = 40. What is x?
  30. 30.Solve: 6n + 12 = 84. What is n?
  31. 31.Solve: m/4 + 6 = 8. What is m?
  32. 32.Solve: 4y − 22 = 26. What is y?
  33. 33.Solve: 4(t + 2) = 52. What is t?
  34. 34.Solve: y/7 + 2 = 6. What is y?
  35. 35.Aarav is 5 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  36. 36.Arjun thinks of a number, multiplies it by 7 and then adds 18. The result is 109. What is the number?
  37. 37.Aarav’s mother is three times as old as Aarav. Their ages add up to 56 years. How old is Aarav?
  38. 38.Aditya thinks of a number, multiplies it by 7 and then adds 4. The result is 102. What is the number?
  39. 39.Solve: 5m − 62 = 8. What is m?
  40. 40.Arjun thinks of a number, multiplies it by 5 and then adds 30. The result is 105. What is the number?

Answer key

  1. 5
  2. 5
  3. 9
  4. 9
  5. 7
  6. 8
  7. 4
  8. 5
  9. 11
  10. 7
  11. 2
  12. 117
  13. 1
  14. 54
  15. 13
  16. 14
  17. 1
  18. 10
  19. 30
  20. 7
  21. 1
  22. 40
  23. 84
  24. 9
  25. 14
  26. 15
  27. 15
  28. 11
  29. 6
  30. 12
  31. 8
  32. 12
  33. 11
  34. 28
  35. 4
  36. 13
  37. 14
  38. 14
  39. 14
  40. 15

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