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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 720 · 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.Rahul thinks of a number, multiplies it by 5 and then adds 22. The result is 92. What is the number?
  2. 2.Nisha thinks of a number, multiplies it by 9 and then adds 7. The result is 43. What is the number?
  3. 3.Solve: 9m − 37 = 62. What is m?
  4. 4.Solve: 2n − 2 = 4. What is n?
  5. 5.Solve: 4m − 3 = 1. What is m?
  6. 6.Nisha thinks of a number, multiplies it by 4 and then adds 21. The result is 61. What is the number?
  7. 7.Solve: y/4 + 3 = 16. What is y?
  8. 8.Diya thinks of a number, multiplies it by 2 and then adds 5. The result is 19. What is the number?
  9. 9.Kabir’s mother is four times as old as Kabir. Their ages add up to 60 years. How old is Kabir?
  10. 10.Karan’s mother is four times as old as Karan. Their ages add up to 55 years. How old is Karan?
  11. 11.Solve: 3x − 24 = 18. What is x?
  12. 12.Rahul’s mother is four times as old as Rahul. Their ages add up to 50 years. How old is Rahul?
  13. 13.Solve: 9n − 33 = 39. What is n?
  14. 14.Solve: 2n + 2 = 18. What is n?
  15. 15.Diya’s mother is three times as old as Diya. Their ages add up to 28 years. How old is Diya?
  16. 16.Solve: 3p − 33 = 9. What is p?
  17. 17.Solve: 3m + 29 = 41. What is m?
  18. 18.Ishaan’s mother is twice as old as Ishaan. Their ages add up to 21 years. How old is Ishaan?
  19. 19.Solve: 5y + 17 = 27. What is y?
  20. 20.Ishaan is 1 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  21. 21.Solve: 9y + 23 = 86. What is y?
  22. 22.Tara thinks of a number, multiplies it by 6 and then adds 22. The result is 52. What is the number?
  23. 23.Solve: 3m + 5 = 29. What is m?
  24. 24.Sneha thinks of a number, multiplies it by 4 and then adds 29. The result is 61. What is the number?
  25. 25.Solve: 2m − 9 = 13. What is m?
  26. 26.Solve: 9(p + 4) = 63. What is p?
  27. 27.Solve: 2p + 28 = 58. What is p?
  28. 28.Solve: 4(m + 8) = 64. What is m?
  29. 29.Solve: 8t + 7 = 95. What is t?
  30. 30.Solve: 8t + 9 = 129. What is t?
  31. 31.Solve: 4t + 25 = 85. What is t?
  32. 32.Solve: 3y − 34 = 5. What is y?
  33. 33.Ananya thinks of a number, multiplies it by 9 and then adds 30. The result is 156. What is the number?
  34. 34.Solve: 3m − 11 = 1. What is m?
  35. 35.Solve: 6x − 2 = 16. What is x?
  36. 36.Diya thinks of a number, multiplies it by 3 and then adds 18. The result is 54. What is the number?
  37. 37.Aarav is 6 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  38. 38.Solve: 2n − 6 = 12. What is n?
  39. 39.Solve: 6p + 6 = 18. What is p?
  40. 40.Farhan’s mother is four times as old as Farhan. Their ages add up to 70 years. How old is Farhan?

Answer key

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

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