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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 773 · 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: 9m − 41 = 85. What is m?
  2. 2.Solve: x/8 + 20 = 28. What is x?
  3. 3.Solve: 3(m + 2) = 15. What is m?
  4. 4.Isha thinks of a number, multiplies it by 2 and then adds 7. The result is 29. What is the number?
  5. 5.Solve: 8t + 20 = 92. What is t?
  6. 6.Solve: 5y − 25 = 5. What is y?
  7. 7.Solve: 2m − 7 = 19. What is m?
  8. 8.Meera’s mother is three times as old as Meera. Their ages add up to 44 years. How old is Meera?
  9. 9.Solve: 3x + 23 = 53. What is x?
  10. 10.Solve: 2m − 3 = 5. What is m?
  11. 11.Solve: 5n − 59 = 16. What is n?
  12. 12.Lakshmi thinks of a number, multiplies it by 9 and then adds 20. The result is 56. What is the number?
  13. 13.Solve: y/4 + 7 = 17. What is y?
  14. 14.Rohan thinks of a number, multiplies it by 4 and then adds 7. The result is 63. What is the number?
  15. 15.Karan is 7 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  16. 16.Solve: 3(y + 7) = 60. What is y?
  17. 17.Solve: 7(m + 1) = 35. What is m?
  18. 18.Solve: 7x − 51 = 5. What is x?
  19. 19.Solve: 2(p + 2) = 28. What is p?
  20. 20.Joseph is 3 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  21. 21.Rahul’s mother is four times as old as Rahul. Their ages add up to 55 years. How old is Rahul?
  22. 22.Solve: 6p + 6 = 54. What is p?
  23. 23.Solve: 7y + 7 = 14. What is y?
  24. 24.Aditya thinks of a number, multiplies it by 6 and then adds 18. The result is 24. What is the number?
  25. 25.Solve: 5x − 1 = 4. What is x?
  26. 26.Solve: 7n + 6 = 48. What is n?
  27. 27.Solve: 5x + 4 = 39. What is x?
  28. 28.Solve: n/2 + 2 = 8. What is n?
  29. 29.Solve: 5x − 9 = 1. What is x?
  30. 30.Solve: n/8 + 5 = 14. What is n?
  31. 31.Gurpreet thinks of a number, multiplies it by 3 and then adds 9. The result is 27. What is the number?
  32. 32.Solve: x/5 + 3 = 4. What is x?
  33. 33.Solve: n/7 + 10 = 14. What is n?
  34. 34.Solve: y/3 + 3 = 17. What is y?
  35. 35.Solve: 2p − 2 = 26. What is p?
  36. 36.Solve: n/7 + 18 = 19. What is n?
  37. 37.Solve: 9p − 15 = 102. What is p?
  38. 38.Solve: 7y + 6 = 90. What is y?
  39. 39.Zoya is 2 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  40. 40.Solve: 6x + 11 = 35. What is x?

Answer key

  1. 14
  2. 64
  3. 3
  4. 11
  5. 9
  6. 6
  7. 13
  8. 11
  9. 10
  10. 4
  11. 15
  12. 4
  13. 40
  14. 14
  15. 8
  16. 13
  17. 4
  18. 8
  19. 12
  20. 15
  21. 11
  22. 8
  23. 1
  24. 1
  25. 1
  26. 6
  27. 7
  28. 12
  29. 2
  30. 72
  31. 6
  32. 5
  33. 28
  34. 42
  35. 14
  36. 7
  37. 13
  38. 12
  39. 5
  40. 4

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