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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 939 · 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: t/3 + 4 = 12. What is t?
  2. 2.Solve: 5t − 32 = 38. What is t?
  3. 3.Solve: 5x + 3 = 68. What is x?
  4. 4.Solve: 4m − 14 = 46. What is m?
  5. 5.Solve: 4y − 9 = 47. What is y?
  6. 6.Solve: p/4 + 18 = 20. What is p?
  7. 7.Solve: 7m − 4 = 59. What is m?
  8. 8.Solve: 7x + 8 = 50. What is x?
  9. 9.Solve: 3(y + 2) = 39. What is y?
  10. 10.Rahul is 2 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  11. 11.Tara thinks of a number, multiplies it by 5 and then adds 2. The result is 67. What is the number?
  12. 12.Solve: 6n − 10 = 56. What is n?
  13. 13.Solve: m/4 + 19 = 31. What is m?
  14. 14.Solve: 6(y + 5) = 72. What is y?
  15. 15.Solve: x/4 + 8 = 19. What is x?
  16. 16.Solve: 9y − 7 = 47. What is y?
  17. 17.Solve: 2p + 2 = 12. What is p?
  18. 18.Solve: 2m + 2 = 4. What is m?
  19. 19.Solve: 7x − 55 = 36. What is x?
  20. 20.Solve: 7(t + 1) = 63. What is t?
  21. 21.Lakshmi is 5 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  22. 22.Lakshmi’s mother is twice as old as Lakshmi. Their ages add up to 18 years. How old is Lakshmi?
  23. 23.Solve: 3(n + 2) = 36. What is n?
  24. 24.Solve: 8p − 30 = 50. What is p?
  25. 25.Solve: 9x − 14 = 13. What is x?
  26. 26.Meera thinks of a number, multiplies it by 4 and then adds 30. The result is 42. What is the number?
  27. 27.Pooja’s mother is four times as old as Pooja. Their ages add up to 70 years. How old is Pooja?
  28. 28.Solve: m/8 + 5 = 19. What is m?
  29. 29.Solve: 4m − 16 = 12. What is m?
  30. 30.Solve: 5t + 1 = 6. What is t?
  31. 31.Kabir is 7 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  32. 32.Solve: 5p + 21 = 26. What is p?
  33. 33.Solve: p/6 + 1 = 11. What is p?
  34. 34.Gurpreet’s mother is four times as old as Gurpreet. Their ages add up to 75 years. How old is Gurpreet?
  35. 35.Solve: x/7 + 1 = 8. What is x?
  36. 36.Solve: 4m + 25 = 81. What is m?
  37. 37.Saanvi thinks of a number, multiplies it by 4 and then adds 10. The result is 34. What is the number?
  38. 38.Kabir’s mother is four times as old as Kabir. Their ages add up to 55 years. How old is Kabir?
  39. 39.Solve: 9y − 44 = 82. What is y?
  40. 40.Solve: 7n + 24 = 122. What is n?

Answer key

  1. 24
  2. 14
  3. 13
  4. 15
  5. 14
  6. 8
  7. 9
  8. 6
  9. 11
  10. 10
  11. 13
  12. 11
  13. 48
  14. 7
  15. 44
  16. 6
  17. 5
  18. 1
  19. 13
  20. 8
  21. 11
  22. 6
  23. 10
  24. 10
  25. 3
  26. 3
  27. 14
  28. 112
  29. 7
  30. 1
  31. 11
  32. 1
  33. 60
  34. 15
  35. 49
  36. 14
  37. 6
  38. 11
  39. 14
  40. 14

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