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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 30 · 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.Gurpreet thinks of a number, multiplies it by 7 and then adds 9. The result is 51. What is the number?
  2. 2.Solve: m/3 + 9 = 23. What is m?
  3. 3.Solve: m/3 + 19 = 24. What is m?
  4. 4.Solve: 7y + 23 = 51. What is y?
  5. 5.Solve: p/5 + 15 = 28. What is p?
  6. 6.Solve: 4x + 28 = 44. What is x?
  7. 7.Solve: 2p + 4 = 16. What is p?
  8. 8.Sneha thinks of a number, multiplies it by 9 and then adds 22. The result is 121. What is the number?
  9. 9.Solve: 6y + 9 = 75. What is y?
  10. 10.Solve: 2(t + 9) = 46. What is t?
  11. 11.Solve: 2p + 30 = 56. What is p?
  12. 12.Solve: p/6 + 5 = 20. What is p?
  13. 13.Joseph’s mother is three times as old as Joseph. Their ages add up to 20 years. How old is Joseph?
  14. 14.Solve: 5(t + 1) = 20. What is t?
  15. 15.Solve: y/8 + 2 = 12. What is y?
  16. 16.Solve: x/9 + 5 = 12. What is x?
  17. 17.Solve: 4(t + 8) = 84. What is t?
  18. 18.Solve: 2n − 2 = 2. What is n?
  19. 19.Solve: p/8 + 12 = 20. What is p?
  20. 20.Solve: 4x + 19 = 47. What is x?
  21. 21.Solve: 6m + 17 = 107. What is m?
  22. 22.Kabir thinks of a number, multiplies it by 6 and then adds 14. The result is 38. What is the number?
  23. 23.Solve: 5n + 12 = 82. What is n?
  24. 24.Meera thinks of a number, multiplies it by 5 and then adds 21. The result is 31. What is the number?
  25. 25.Solve: 5x + 1 = 11. What is x?
  26. 26.Diya’s mother is three times as old as Diya. Their ages add up to 52 years. How old is Diya?
  27. 27.Zoya thinks of a number, multiplies it by 4 and then adds 3. The result is 23. What is the number?
  28. 28.Solve: 8p + 1 = 17. What is p?
  29. 29.Solve: 8m − 39 = 17. What is m?
  30. 30.Solve: 3y − 5 = 1. What is y?
  31. 31.Aditya’s mother is four times as old as Aditya. Their ages add up to 70 years. How old is Aditya?
  32. 32.Solve: x/4 + 5 = 20. What is x?
  33. 33.Solve: 3m − 11 = 22. What is m?
  34. 34.Solve: 6n + 13 = 49. What is n?
  35. 35.Solve: 5(p + 7) = 105. What is p?
  36. 36.Saanvi thinks of a number, multiplies it by 3 and then adds 21. The result is 24. What is the number?
  37. 37.Solve: 4p − 20 = 36. What is p?
  38. 38.Solve: 9y − 54 = 27. What is y?
  39. 39.Meera is 2 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  40. 40.Solve: 2(y + 1) = 4. What is y?

Answer key

  1. 6
  2. 42
  3. 15
  4. 4
  5. 65
  6. 4
  7. 6
  8. 11
  9. 11
  10. 14
  11. 13
  12. 90
  13. 5
  14. 3
  15. 80
  16. 63
  17. 13
  18. 2
  19. 64
  20. 7
  21. 15
  22. 4
  23. 14
  24. 2
  25. 2
  26. 13
  27. 5
  28. 2
  29. 7
  30. 2
  31. 14
  32. 60
  33. 11
  34. 6
  35. 14
  36. 1
  37. 14
  38. 9
  39. 10
  40. 1

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