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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 663 · 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: 2m − 25 = 1. What is m?
  2. 2.Kabir’s mother is four times as old as Kabir. Their ages add up to 25 years. How old is Kabir?
  3. 3.Sneha’s mother is four times as old as Sneha. Their ages add up to 60 years. How old is Sneha?
  4. 4.Solve: 7t − 55 = 50. What is t?
  5. 5.Solve: 3(n + 4) = 27. What is n?
  6. 6.Solve: 2(x + 6) = 32. What is x?
  7. 7.Solve: 5y − 11 = 34. What is y?
  8. 8.Solve: 4y + 6 = 42. What is y?
  9. 9.Solve: p/2 + 2 = 8. What is p?
  10. 10.Solve: 8p + 5 = 125. What is p?
  11. 11.Solve: 8x − 3 = 21. What is x?
  12. 12.Solve: 6p + 5 = 65. What is p?
  13. 13.Isha’s mother is four times as old as Isha. Their ages add up to 60 years. How old is Isha?
  14. 14.Solve: 3n − 2 = 1. What is n?
  15. 15.Solve: 2m + 15 = 31. What is m?
  16. 16.Solve: 4x + 24 = 76. What is x?
  17. 17.Solve: 4x + 2 = 46. What is x?
  18. 18.Solve: x/5 + 11 = 17. What is x?
  19. 19.Solve: 5y + 13 = 28. What is y?
  20. 20.Solve: 7(n + 7) = 126. What is n?
  21. 21.Aditya is 6 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  22. 22.Isha thinks of a number, multiplies it by 9 and then adds 13. The result is 148. What is the number?
  23. 23.Solve: 2(t + 9) = 24. What is t?
  24. 24.Solve: 6m + 19 = 109. What is m?
  25. 25.Solve: 3n + 18 = 42. What is n?
  26. 26.Farhan thinks of a number, multiplies it by 2 and then adds 23. The result is 53. What is the number?
  27. 27.Solve: 6(x + 1) = 42. What is x?
  28. 28.Solve: 2m − 15 = 1. What is m?
  29. 29.Solve: 3x + 21 = 27. What is x?
  30. 30.Solve: 9m − 32 = 76. What is m?
  31. 31.Solve: 2x + 24 = 44. What is x?
  32. 32.Solve: 6(x + 6) = 42. What is x?
  33. 33.Solve: 3(t + 7) = 45. What is t?
  34. 34.Rahul’s mother is four times as old as Rahul. Their ages add up to 25 years. How old is Rahul?
  35. 35.Riya’s mother is twice as old as Riya. Their ages add up to 15 years. How old is Riya?
  36. 36.Solve: 9x + 16 = 79. What is x?
  37. 37.Solve: 9x + 1 = 82. What is x?
  38. 38.Solve: 6y − 3 = 21. What is y?
  39. 39.Manav thinks of a number, multiplies it by 5 and then adds 27. The result is 42. What is the number?
  40. 40.Solve: 7y + 15 = 64. What is y?

Answer key

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

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