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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 655 · 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: 4x − 8 = 48. What is x?
  2. 2.Solve: 9x + 15 = 123. What is x?
  3. 3.Solve: 2y + 22 = 24. What is y?
  4. 4.Manav is 8 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  5. 5.Solve: y/4 + 14 = 18. What is y?
  6. 6.Aarav thinks of a number, multiplies it by 2 and then adds 20. The result is 42. What is the number?
  7. 7.Zoya’s mother is four times as old as Zoya. Their ages add up to 40 years. How old is Zoya?
  8. 8.Meera thinks of a number, multiplies it by 6 and then adds 27. The result is 81. What is the number?
  9. 9.Solve: 7y − 24 = 39. What is y?
  10. 10.Aditya’s mother is twice as old as Aditya. Their ages add up to 42 years. How old is Aditya?
  11. 11.Manav’s mother is four times as old as Manav. Their ages add up to 65 years. How old is Manav?
  12. 12.Tara thinks of a number, multiplies it by 8 and then adds 18. The result is 66. What is the number?
  13. 13.Solve: 4(n + 7) = 60. What is n?
  14. 14.Solve: x/2 + 6 = 14. What is x?
  15. 15.Ananya thinks of a number, multiplies it by 2 and then adds 1. The result is 9. What is the number?
  16. 16.Solve: 6m + 23 = 53. What is m?
  17. 17.Lakshmi is 2 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  18. 18.Solve: 5y − 7 = 3. What is y?
  19. 19.Solve: t/9 + 15 = 17. What is t?
  20. 20.Solve: n/3 + 20 = 27. What is n?
  21. 21.Solve: 6x + 3 = 57. What is x?
  22. 22.Solve: 3(t + 7) = 63. What is t?
  23. 23.Solve: y/8 + 12 = 26. What is y?
  24. 24.Solve: 3(m + 9) = 63. What is m?
  25. 25.Solve: 8x + 27 = 139. What is x?
  26. 26.Solve: 6(x + 9) = 96. What is x?
  27. 27.Nisha’s mother is four times as old as Nisha. Their ages add up to 45 years. How old is Nisha?
  28. 28.Solve: 2x + 27 = 35. What is x?
  29. 29.Zoya thinks of a number, multiplies it by 4 and then adds 15. The result is 71. What is the number?
  30. 30.Solve: 6y + 18 = 90. What is y?
  31. 31.Solve: 8(n + 3) = 72. What is n?
  32. 32.Solve: 2(p + 9) = 20. What is p?
  33. 33.Farhan thinks of a number, multiplies it by 5 and then adds 23. The result is 48. What is the number?
  34. 34.Vivaan’s mother is twice as old as Vivaan. Their ages add up to 27 years. How old is Vivaan?
  35. 35.Solve: 7y − 17 = 67. What is y?
  36. 36.Zoya’s mother is twice as old as Zoya. Their ages add up to 45 years. How old is Zoya?
  37. 37.Solve: 3x − 8 = 1. What is x?
  38. 38.Solve: 9y + 30 = 156. What is y?
  39. 39.Tara thinks of a number, multiplies it by 7 and then adds 9. The result is 16. What is the number?
  40. 40.Solve: 6n − 12 = 48. What is n?

Answer key

  1. 14
  2. 12
  3. 1
  4. 8
  5. 16
  6. 11
  7. 8
  8. 9
  9. 9
  10. 14
  11. 13
  12. 6
  13. 8
  14. 16
  15. 4
  16. 5
  17. 11
  18. 2
  19. 18
  20. 21
  21. 9
  22. 14
  23. 112
  24. 12
  25. 14
  26. 7
  27. 9
  28. 4
  29. 14
  30. 12
  31. 6
  32. 1
  33. 5
  34. 9
  35. 12
  36. 15
  37. 3
  38. 14
  39. 1
  40. 10

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