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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 141 · 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: p/3 + 12 = 27. What is p?
  2. 2.Solve: 2n + 22 = 38. What is n?
  3. 3.Solve: 3m + 6 = 39. What is m?
  4. 4.Solve: 4(p + 7) = 80. What is p?
  5. 5.Diya’s mother is twice as old as Diya. Their ages add up to 15 years. How old is Diya?
  6. 6.Solve: 5y + 21 = 81. What is y?
  7. 7.Solve: y/6 + 5 = 18. What is y?
  8. 8.Solve: 5p + 13 = 83. What is p?
  9. 9.Solve: 5m + 30 = 95. What is m?
  10. 10.Solve: x/8 + 4 = 9. What is x?
  11. 11.Solve: 2x + 26 = 36. What is x?
  12. 12.Arjun thinks of a number, multiplies it by 7 and then adds 17. The result is 66. What is the number?
  13. 13.Aditya thinks of a number, multiplies it by 2 and then adds 3. The result is 27. What is the number?
  14. 14.Kabir is 4 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  15. 15.Gurpreet thinks of a number, multiplies it by 6 and then adds 17. The result is 95. What is the number?
  16. 16.Solve: 3n − 14 = 7. What is n?
  17. 17.Solve: y/3 + 1 = 7. What is y?
  18. 18.Saanvi thinks of a number, multiplies it by 6 and then adds 30. The result is 114. What is the number?
  19. 19.Vivaan thinks of a number, multiplies it by 2 and then adds 13. The result is 33. What is the number?
  20. 20.Solve: 5x − 8 = 57. What is x?
  21. 21.Solve: 9(p + 7) = 153. What is p?
  22. 22.Joseph’s mother is four times as old as Joseph. Their ages add up to 60 years. How old is Joseph?
  23. 23.Solve: x/2 + 18 = 22. What is x?
  24. 24.Ananya’s mother is four times as old as Ananya. Their ages add up to 55 years. How old is Ananya?
  25. 25.Solve: p/3 + 3 = 12. What is p?
  26. 26.Solve: 5x + 28 = 43. What is x?
  27. 27.Solve: 3x − 29 = 7. What is x?
  28. 28.Solve: 2t − 6 = 6. What is t?
  29. 29.Solve: m/8 + 7 = 19. What is m?
  30. 30.Solve: 5(y + 7) = 55. What is y?
  31. 31.Solve: 8t − 2 = 6. What is t?
  32. 32.Dev’s mother is three times as old as Dev. Their ages add up to 44 years. How old is Dev?
  33. 33.Solve: 4t − 6 = 10. What is t?
  34. 34.Solve: 2p + 24 = 26. What is p?
  35. 35.Solve: x/4 + 10 = 24. What is x?
  36. 36.Solve: 3x − 17 = 16. What is x?
  37. 37.Solve: 7(y + 8) = 154. What is y?
  38. 38.Solve: 6x − 14 = 70. What is x?
  39. 39.Solve: 4x + 4 = 16. What is x?
  40. 40.Solve: 5t − 33 = 2. What is t?

Answer key

  1. 45
  2. 8
  3. 11
  4. 13
  5. 5
  6. 12
  7. 78
  8. 14
  9. 13
  10. 40
  11. 5
  12. 7
  13. 12
  14. 4
  15. 13
  16. 7
  17. 18
  18. 14
  19. 10
  20. 13
  21. 10
  22. 12
  23. 8
  24. 11
  25. 27
  26. 3
  27. 12
  28. 6
  29. 96
  30. 4
  31. 1
  32. 11
  33. 4
  34. 1
  35. 56
  36. 11
  37. 14
  38. 14
  39. 3
  40. 7

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