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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 658 · 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.Ananya thinks of a number, multiplies it by 2 and then adds 27. The result is 51. What is the number?
  2. 2.Solve: 7x + 26 = 124. What is x?
  3. 3.Solve: 4p + 19 = 71. What is p?
  4. 4.Solve: 4x − 29 = 23. What is x?
  5. 5.Sneha thinks of a number, multiplies it by 5 and then adds 8. The result is 63. What is the number?
  6. 6.Solve: 5x + 15 = 20. What is x?
  7. 7.Solve: 8x − 12 = 36. What is x?
  8. 8.Ananya thinks of a number, multiplies it by 8 and then adds 2. The result is 114. What is the number?
  9. 9.Solve: y/8 + 19 = 34. What is y?
  10. 10.Solve: 9n − 39 = 24. What is n?
  11. 11.Solve: 7x + 28 = 63. What is x?
  12. 12.Lakshmi thinks of a number, multiplies it by 7 and then adds 23. The result is 58. What is the number?
  13. 13.Manav’s mother is twice as old as Manav. Their ages add up to 30 years. How old is Manav?
  14. 14.Solve: 4(p + 1) = 8. What is p?
  15. 15.Solve: 2x − 24 = 4. What is x?
  16. 16.Solve: x/7 + 13 = 14. What is x?
  17. 17.Meera thinks of a number, multiplies it by 5 and then adds 2. The result is 47. What is the number?
  18. 18.Solve: y/6 + 13 = 23. What is y?
  19. 19.Solve: 7(p + 5) = 133. What is p?
  20. 20.Solve: 3m + 26 = 65. What is m?
  21. 21.Solve: 3m + 18 = 33. What is m?
  22. 22.Solve: x/2 + 7 = 16. What is x?
  23. 23.Aditya’s mother is three times as old as Aditya. Their ages add up to 16 years. How old is Aditya?
  24. 24.Solve: 8(n + 9) = 128. What is n?
  25. 25.Solve: 8y − 2 = 46. What is y?
  26. 26.Solve: n/2 + 3 = 11. What is n?
  27. 27.Solve: 4p + 24 = 36. What is p?
  28. 28.Solve: 6(n + 2) = 18. What is n?
  29. 29.Ananya thinks of a number, multiplies it by 6 and then adds 11. The result is 29. What is the number?
  30. 30.Solve: 3n − 27 = 6. What is n?
  31. 31.Riya thinks of a number, multiplies it by 2 and then adds 29. The result is 39. What is the number?
  32. 32.Solve: 8y − 33 = 31. What is y?
  33. 33.Solve: y/2 + 13 = 28. What is y?
  34. 34.Arjun thinks of a number, multiplies it by 5 and then adds 7. The result is 57. What is the number?
  35. 35.Kabir thinks of a number, multiplies it by 8 and then adds 29. The result is 77. What is the number?
  36. 36.Solve: 2x − 1 = 1. What is x?
  37. 37.Kabir thinks of a number, multiplies it by 8 and then adds 11. The result is 19. What is the number?
  38. 38.Kabir thinks of a number, multiplies it by 4 and then adds 25. The result is 85. What is the number?
  39. 39.Isha thinks of a number, multiplies it by 5 and then adds 28. The result is 68. What is the number?
  40. 40.Solve: 9y + 20 = 101. What is y?

Answer key

  1. 12
  2. 14
  3. 13
  4. 13
  5. 11
  6. 1
  7. 6
  8. 14
  9. 120
  10. 7
  11. 5
  12. 5
  13. 10
  14. 1
  15. 14
  16. 7
  17. 9
  18. 60
  19. 14
  20. 13
  21. 5
  22. 18
  23. 4
  24. 7
  25. 6
  26. 16
  27. 3
  28. 1
  29. 3
  30. 11
  31. 5
  32. 8
  33. 30
  34. 10
  35. 6
  36. 1
  37. 1
  38. 15
  39. 8
  40. 9

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