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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 444 · 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: 8n − 10 = 38. What is n?
  2. 2.Rohan’s mother is four times as old as Rohan. Their ages add up to 75 years. How old is Rohan?
  3. 3.Aarav thinks of a number, multiplies it by 5 and then adds 15. The result is 70. What is the number?
  4. 4.Rahul thinks of a number, multiplies it by 4 and then adds 20. The result is 60. What is the number?
  5. 5.Manav is 6 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  6. 6.Ananya thinks of a number, multiplies it by 3 and then adds 19. The result is 31. What is the number?
  7. 7.Nisha thinks of a number, multiplies it by 3 and then adds 11. The result is 47. What is the number?
  8. 8.Farhan thinks of a number, multiplies it by 8 and then adds 25. The result is 137. What is the number?
  9. 9.Solve: 2m + 20 = 40. What is m?
  10. 10.Solve: 6(m + 5) = 60. What is m?
  11. 11.Solve: x/7 + 18 = 30. What is x?
  12. 12.Solve: 8x + 8 = 16. What is x?
  13. 13.Solve: 9n − 8 = 1. What is n?
  14. 14.Solve: 3y + 3 = 18. What is y?
  15. 15.Solve: 2y − 1 = 1. What is y?
  16. 16.Kabir’s mother is twice as old as Kabir. Their ages add up to 15 years. How old is Kabir?
  17. 17.Nisha thinks of a number, multiplies it by 4 and then adds 1. The result is 41. What is the number?
  18. 18.Solve: 8m + 28 = 148. What is m?
  19. 19.Solve: 5n − 28 = 7. What is n?
  20. 20.Solve: 2p − 1 = 1. What is p?
  21. 21.Solve: 8(y + 3) = 104. What is y?
  22. 22.Solve: 9y + 11 = 137. What is y?
  23. 23.Isha thinks of a number, multiplies it by 2 and then adds 13. The result is 27. What is the number?
  24. 24.Solve: 2x + 3 = 25. What is x?
  25. 25.Solve: 5x − 2 = 3. What is x?
  26. 26.Solve: x/3 + 17 = 19. What is x?
  27. 27.Sneha thinks of a number, multiplies it by 4 and then adds 25. The result is 29. What is the number?
  28. 28.Solve: 6t − 13 = 5. What is t?
  29. 29.Solve: x/5 + 10 = 24. What is x?
  30. 30.Solve: 5t + 25 = 85. What is t?
  31. 31.Solve: 9(x + 7) = 189. What is x?
  32. 32.Solve: 8(x + 8) = 104. What is x?
  33. 33.Solve: 8(y + 4) = 152. What is y?
  34. 34.Solve: 2t − 5 = 5. What is t?
  35. 35.Solve: 4t − 31 = 1. What is t?
  36. 36.Rohan’s mother is three times as old as Rohan. Their ages add up to 32 years. How old is Rohan?
  37. 37.Solve: 3y − 8 = 7. What is y?
  38. 38.Solve: 2t + 1 = 23. What is t?
  39. 39.Solve: 3p − 1 = 2. What is p?
  40. 40.Solve: 8t + 2 = 66. What is t?

Answer key

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

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