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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 567 · 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: 6p + 30 = 96. What is p?
  2. 2.Solve: 4m − 3 = 1. What is m?
  3. 3.Solve: x/5 + 18 = 31. What is x?
  4. 4.Solve: y/6 + 2 = 14. What is y?
  5. 5.Solve: 9x − 23 = 4. What is x?
  6. 6.Solve: 7m + 22 = 29. What is m?
  7. 7.Solve: 3(t + 1) = 48. What is t?
  8. 8.Solve: 2p − 3 = 1. What is p?
  9. 9.Solve: 6y + 12 = 84. What is y?
  10. 10.Rahul thinks of a number, multiplies it by 7 and then adds 21. The result is 70. What is the number?
  11. 11.Solve: 8t + 10 = 114. What is t?
  12. 12.Nisha’s mother is three times as old as Nisha. Their ages add up to 16 years. How old is Nisha?
  13. 13.Farhan thinks of a number, multiplies it by 6 and then adds 2. The result is 38. What is the number?
  14. 14.Aditya thinks of a number, multiplies it by 8 and then adds 8. The result is 48. What is the number?
  15. 15.Solve: 4x + 8 = 20. What is x?
  16. 16.Aditya thinks of a number, multiplies it by 7 and then adds 5. The result is 26. What is the number?
  17. 17.Solve: 5p + 29 = 39. What is p?
  18. 18.Solve: x/6 + 10 = 13. What is x?
  19. 19.Solve: x/3 + 9 = 21. What is x?
  20. 20.Solve: 3t − 33 = 3. What is t?
  21. 21.Solve: y/7 + 11 = 14. What is y?
  22. 22.Solve: 4x + 23 = 83. What is x?
  23. 23.Tara thinks of a number, multiplies it by 4 and then adds 7. The result is 35. What is the number?
  24. 24.Solve: 2n − 4 = 22. What is n?
  25. 25.Solve: 4m − 22 = 34. What is m?
  26. 26.Solve: 3p + 24 = 66. What is p?
  27. 27.Solve: 6n − 6 = 60. What is n?
  28. 28.Solve: 5n − 9 = 6. What is n?
  29. 29.Solve: m/5 + 15 = 19. What is m?
  30. 30.Solve: 4n + 25 = 41. What is n?
  31. 31.Solve: 7m − 22 = 55. What is m?
  32. 32.Solve: 2m − 10 = 4. What is m?
  33. 33.Kavya’s mother is three times as old as Kavya. Their ages add up to 60 years. How old is Kavya?
  34. 34.Solve: 4m + 24 = 80. What is m?
  35. 35.Solve: 4p − 28 = 28. What is p?
  36. 36.Solve: 4t + 18 = 50. What is t?
  37. 37.Solve: 9t + 22 = 85. What is t?
  38. 38.Solve: 4(x + 5) = 68. What is x?
  39. 39.Solve: 5x + 1 = 71. What is x?
  40. 40.Kabir’s mother is three times as old as Kabir. Their ages add up to 36 years. How old is Kabir?

Answer key

  1. 11
  2. 1
  3. 65
  4. 72
  5. 3
  6. 1
  7. 15
  8. 2
  9. 12
  10. 7
  11. 13
  12. 4
  13. 6
  14. 5
  15. 3
  16. 3
  17. 2
  18. 18
  19. 36
  20. 12
  21. 21
  22. 15
  23. 7
  24. 13
  25. 14
  26. 14
  27. 11
  28. 3
  29. 20
  30. 4
  31. 11
  32. 7
  33. 15
  34. 14
  35. 14
  36. 8
  37. 7
  38. 12
  39. 14
  40. 9

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