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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 994 · 40 sums
TalentJR

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 + 12 = 96. What is m?
  2. 2.Saanvi thinks of a number, multiplies it by 6 and then adds 16. The result is 52. What is the number?
  3. 3.Kavya is 2 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  4. 4.Solve: 5t + 3 = 38. What is t?
  5. 5.Solve: 2p + 20 = 22. What is p?
  6. 6.Aditya thinks of a number, multiplies it by 4 and then adds 12. The result is 56. What is the number?
  7. 7.Aditya’s mother is three times as old as Aditya. Their ages add up to 24 years. How old is Aditya?
  8. 8.Solve: 2x + 13 = 27. What is x?
  9. 9.Solve: 4p + 8 = 68. What is p?
  10. 10.Tara thinks of a number, multiplies it by 4 and then adds 17. The result is 73. What is the number?
  11. 11.Solve: 4y + 30 = 74. What is y?
  12. 12.Ananya thinks of a number, multiplies it by 4 and then adds 9. The result is 29. What is the number?
  13. 13.Rahul thinks of a number, multiplies it by 2 and then adds 30. The result is 46. What is the number?
  14. 14.Solve: 3n + 16 = 55. What is n?
  15. 15.Solve: 8p + 8 = 80. What is p?
  16. 16.Dev thinks of a number, multiplies it by 2 and then adds 3. The result is 9. What is the number?
  17. 17.Solve: 3n + 13 = 16. What is n?
  18. 18.Solve: 8n − 66 = 6. What is n?
  19. 19.Zoya thinks of a number, multiplies it by 2 and then adds 24. The result is 32. What is the number?
  20. 20.Rohan thinks of a number, multiplies it by 4 and then adds 25. The result is 45. What is the number?
  21. 21.Manav thinks of a number, multiplies it by 2 and then adds 5. The result is 23. What is the number?
  22. 22.Zoya thinks of a number, multiplies it by 3 and then adds 16. The result is 55. What is the number?
  23. 23.Solve: n/8 + 8 = 23. What is n?
  24. 24.Ishaan thinks of a number, multiplies it by 3 and then adds 16. The result is 55. What is the number?
  25. 25.Dev thinks of a number, multiplies it by 9 and then adds 4. The result is 67. What is the number?
  26. 26.Gurpreet thinks of a number, multiplies it by 6 and then adds 10. The result is 76. What is the number?
  27. 27.Solve: 7m − 15 = 76. What is m?
  28. 28.Solve: x/9 + 16 = 19. What is x?
  29. 29.Solve: t/6 + 1 = 4. What is t?
  30. 30.Solve: 4n − 1 = 27. What is n?
  31. 31.Solve: x/5 + 11 = 20. What is x?
  32. 32.Kabir’s mother is three times as old as Kabir. Their ages add up to 20 years. How old is Kabir?
  33. 33.Solve: t/7 + 18 = 32. What is t?
  34. 34.Solve: m/7 + 10 = 23. What is m?
  35. 35.Solve: 2t − 17 = 11. What is t?
  36. 36.Karan thinks of a number, multiplies it by 3 and then adds 21. The result is 36. What is the number?
  37. 37.Solve: 8m + 21 = 77. What is m?
  38. 38.Solve: 9n + 9 = 90. What is n?
  39. 39.Solve: 4(t + 5) = 48. What is t?
  40. 40.Solve: 3n − 5 = 1. What is n?

Answer key

  1. 14
  2. 6
  3. 14
  4. 7
  5. 1
  6. 11
  7. 6
  8. 7
  9. 15
  10. 14
  11. 11
  12. 5
  13. 8
  14. 13
  15. 9
  16. 3
  17. 1
  18. 9
  19. 4
  20. 5
  21. 9
  22. 13
  23. 120
  24. 13
  25. 7
  26. 11
  27. 13
  28. 27
  29. 18
  30. 7
  31. 45
  32. 5
  33. 98
  34. 91
  35. 14
  36. 5
  37. 7
  38. 9
  39. 7
  40. 2

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