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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 515 · 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: 6m + 2 = 26. What is m?
  2. 2.Solve: m/7 + 3 = 6. What is m?
  3. 3.Solve: 7x + 9 = 51. What is x?
  4. 4.Solve: 2(y + 3) = 22. What is y?
  5. 5.Isha’s mother is three times as old as Isha. Their ages add up to 36 years. How old is Isha?
  6. 6.Tara thinks of a number, multiplies it by 9 and then adds 20. The result is 83. What is the number?
  7. 7.Solve: y/2 + 2 = 14. What is y?
  8. 8.Solve: 7y − 26 = 37. What is y?
  9. 9.Solve: 6y + 1 = 85. What is y?
  10. 10.Aditya thinks of a number, multiplies it by 5 and then adds 23. The result is 78. What is the number?
  11. 11.Lakshmi thinks of a number, multiplies it by 2 and then adds 15. The result is 43. What is the number?
  12. 12.Solve: 3y + 12 = 27. What is y?
  13. 13.Solve: 2m − 1 = 5. What is m?
  14. 14.Ananya’s mother is twice as old as Ananya. Their ages add up to 21 years. How old is Ananya?
  15. 15.Solve: 2(y + 9) = 48. What is y?
  16. 16.Solve: 5t − 12 = 8. What is t?
  17. 17.Solve: 5x + 20 = 25. What is x?
  18. 18.Solve: 9n − 54 = 54. What is n?
  19. 19.Solve: y/7 + 13 = 24. What is y?
  20. 20.Solve: 5p − 5 = 5. What is p?
  21. 21.Solve: n/5 + 5 = 17. What is n?
  22. 22.Manav’s mother is four times as old as Manav. Their ages add up to 20 years. How old is Manav?
  23. 23.Pooja’s mother is four times as old as Pooja. Their ages add up to 35 years. How old is Pooja?
  24. 24.Solve: 4x − 7 = 1. What is x?
  25. 25.Solve: 5y + 2 = 57. What is y?
  26. 26.Solve: 4y + 5 = 45. What is y?
  27. 27.Solve: 9n − 24 = 66. What is n?
  28. 28.Farhan thinks of a number, multiplies it by 3 and then adds 8. The result is 26. What is the number?
  29. 29.Ananya’s mother is four times as old as Ananya. Their ages add up to 30 years. How old is Ananya?
  30. 30.Gurpreet is 5 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  31. 31.Sneha thinks of a number, multiplies it by 2 and then adds 19. The result is 49. What is the number?
  32. 32.Solve: n/3 + 18 = 23. What is n?
  33. 33.Tara thinks of a number, multiplies it by 4 and then adds 9. The result is 65. What is the number?
  34. 34.Solve: 2x − 4 = 2. What is x?
  35. 35.Nisha thinks of a number, multiplies it by 8 and then adds 26. The result is 130. What is the number?
  36. 36.Solve: 7y − 12 = 51. What is y?
  37. 37.Karan’s mother is three times as old as Karan. Their ages add up to 56 years. How old is Karan?
  38. 38.Solve: p/5 + 15 = 25. What is p?
  39. 39.Solve: 6(p + 1) = 78. What is p?
  40. 40.Solve: 8y + 30 = 70. What is y?

Answer key

  1. 4
  2. 21
  3. 6
  4. 8
  5. 9
  6. 7
  7. 24
  8. 9
  9. 14
  10. 11
  11. 14
  12. 5
  13. 3
  14. 7
  15. 15
  16. 4
  17. 1
  18. 12
  19. 77
  20. 2
  21. 60
  22. 4
  23. 7
  24. 2
  25. 11
  26. 10
  27. 10
  28. 6
  29. 6
  30. 5
  31. 15
  32. 15
  33. 14
  34. 3
  35. 13
  36. 9
  37. 14
  38. 50
  39. 12
  40. 5

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