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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 735 · 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: y/9 + 18 = 19. What is y?
  2. 2.Meera thinks of a number, multiplies it by 2 and then adds 30. The result is 44. What is the number?
  3. 3.Solve: 9(n + 7) = 81. What is n?
  4. 4.Solve: x/7 + 20 = 23. What is x?
  5. 5.Solve: 5y − 12 = 43. What is y?
  6. 6.Rohan is 7 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  7. 7.Solve: t/2 + 9 = 15. What is t?
  8. 8.Solve: t/4 + 20 = 31. What is t?
  9. 9.Solve: y/6 + 4 = 11. What is y?
  10. 10.Ishaan thinks of a number, multiplies it by 3 and then adds 3. The result is 27. What is the number?
  11. 11.Joseph’s mother is twice as old as Joseph. Their ages add up to 39 years. How old is Joseph?
  12. 12.Solve: 6(x + 4) = 48. What is x?
  13. 13.Solve: 4t − 29 = 31. What is t?
  14. 14.Meera’s mother is twice as old as Meera. Their ages add up to 18 years. How old is Meera?
  15. 15.Karan thinks of a number, multiplies it by 5 and then adds 11. The result is 21. What is the number?
  16. 16.Solve: p/4 + 9 = 22. What is p?
  17. 17.Tara’s mother is twice as old as Tara. Their ages add up to 30 years. How old is Tara?
  18. 18.Lakshmi thinks of a number, multiplies it by 6 and then adds 21. The result is 33. What is the number?
  19. 19.Solve: p/7 + 19 = 24. What is p?
  20. 20.Solve: 6m + 25 = 103. What is m?
  21. 21.Meera thinks of a number, multiplies it by 8 and then adds 23. The result is 111. What is the number?
  22. 22.Solve: t/8 + 20 = 24. What is t?
  23. 23.Solve: n/4 + 4 = 6. What is n?
  24. 24.Solve: x/6 + 11 = 19. What is x?
  25. 25.Solve: y/3 + 2 = 10. What is y?
  26. 26.Solve: 8x − 3 = 5. What is x?
  27. 27.Solve: 3t − 13 = 23. What is t?
  28. 28.Ananya thinks of a number, multiplies it by 4 and then adds 3. The result is 63. What is the number?
  29. 29.Solve: 7y − 87 = 11. What is y?
  30. 30.Kabir’s mother is twice as old as Kabir. Their ages add up to 45 years. How old is Kabir?
  31. 31.Pooja’s mother is four times as old as Pooja. Their ages add up to 30 years. How old is Pooja?
  32. 32.Aditya thinks of a number, multiplies it by 3 and then adds 20. The result is 35. What is the number?
  33. 33.Solve: p/5 + 9 = 12. What is p?
  34. 34.Solve: y/9 + 15 = 27. What is y?
  35. 35.Rohan is 2 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  36. 36.Solve: 6x − 4 = 2. What is x?
  37. 37.Solve: 9(t + 5) = 99. What is t?
  38. 38.Karan thinks of a number, multiplies it by 3 and then adds 1. The result is 46. What is the number?
  39. 39.Solve: 3x − 1 = 5. What is x?
  40. 40.Aarav thinks of a number, multiplies it by 7 and then adds 26. The result is 54. What is the number?

Answer key

  1. 9
  2. 7
  3. 2
  4. 21
  5. 11
  6. 8
  7. 12
  8. 44
  9. 42
  10. 8
  11. 13
  12. 4
  13. 15
  14. 6
  15. 2
  16. 52
  17. 10
  18. 2
  19. 35
  20. 13
  21. 11
  22. 32
  23. 8
  24. 48
  25. 24
  26. 1
  27. 12
  28. 15
  29. 14
  30. 15
  31. 6
  32. 5
  33. 15
  34. 108
  35. 7
  36. 1
  37. 6
  38. 15
  39. 2
  40. 4

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