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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 22 · 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.Meera thinks of a number, multiplies it by 9 and then adds 17. The result is 26. What is the number?
  2. 2.Ananya thinks of a number, multiplies it by 6 and then adds 14. The result is 68. What is the number?
  3. 3.Solve: x/8 + 20 = 24. What is x?
  4. 4.Vivaan thinks of a number, multiplies it by 5 and then adds 1. The result is 6. What is the number?
  5. 5.Solve: 5y + 28 = 38. What is y?
  6. 6.Vivaan’s mother is twice as old as Vivaan. Their ages add up to 30 years. How old is Vivaan?
  7. 7.Dev is 2 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  8. 8.Solve: 4t − 15 = 45. What is t?
  9. 9.Vivaan thinks of a number, multiplies it by 4 and then adds 13. The result is 17. What is the number?
  10. 10.Solve: t/6 + 16 = 30. What is t?
  11. 11.Solve: 8(t + 4) = 120. What is t?
  12. 12.Solve: 9m − 30 = 60. What is m?
  13. 13.Solve: 3x + 14 = 53. What is x?
  14. 14.Solve: t/3 + 11 = 20. What is t?
  15. 15.Solve: 9y + 3 = 57. What is y?
  16. 16.Solve: x/4 + 2 = 16. What is x?
  17. 17.Solve: 8x − 11 = 61. What is x?
  18. 18.Solve: 3m + 10 = 22. What is m?
  19. 19.Solve: 2m − 7 = 1. What is m?
  20. 20.Solve: x/6 + 20 = 25. What is x?
  21. 21.Farhan’s mother is three times as old as Farhan. Their ages add up to 44 years. How old is Farhan?
  22. 22.Pooja is 7 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  23. 23.Solve: 5t − 4 = 36. What is t?
  24. 24.Sneha thinks of a number, multiplies it by 5 and then adds 15. The result is 30. What is the number?
  25. 25.Solve: n/8 + 9 = 16. What is n?
  26. 26.Solve: 2y + 10 = 18. What is y?
  27. 27.Solve: 4x − 19 = 5. What is x?
  28. 28.Solve: 2x + 1 = 25. What is x?
  29. 29.Solve: 3(n + 8) = 27. What is n?
  30. 30.Solve: 5n − 11 = 29. What is n?
  31. 31.Solve: 9m + 12 = 66. What is m?
  32. 32.Riya is 2 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  33. 33.Solve: 5(x + 2) = 35. What is x?
  34. 34.Solve: 5n + 1 = 31. What is n?
  35. 35.Solve: 4m + 17 = 33. What is m?
  36. 36.Manav thinks of a number, multiplies it by 5 and then adds 26. The result is 86. What is the number?
  37. 37.Diya thinks of a number, multiplies it by 6 and then adds 8. The result is 92. What is the number?
  38. 38.Solve: 6(x + 3) = 30. What is x?
  39. 39.Solve: 8(x + 9) = 104. What is x?
  40. 40.Solve: 3x − 4 = 2. What is x?

Answer key

  1. 1
  2. 9
  3. 32
  4. 1
  5. 2
  6. 10
  7. 9
  8. 15
  9. 1
  10. 84
  11. 11
  12. 10
  13. 13
  14. 27
  15. 6
  16. 56
  17. 9
  18. 4
  19. 4
  20. 30
  21. 11
  22. 4
  23. 8
  24. 3
  25. 56
  26. 4
  27. 6
  28. 12
  29. 1
  30. 8
  31. 6
  32. 13
  33. 5
  34. 6
  35. 4
  36. 12
  37. 14
  38. 2
  39. 4
  40. 2

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