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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 694 · 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: 6y + 13 = 37. What is y?
  2. 2.Solve: 4y − 14 = 10. What is y?
  3. 3.Solve: 6p + 19 = 25. What is p?
  4. 4.Solve: 5(x + 7) = 55. What is x?
  5. 5.Diya thinks of a number, multiplies it by 9 and then adds 8. The result is 116. What is the number?
  6. 6.Solve: 8n − 29 = 51. What is n?
  7. 7.Solve: p/4 + 5 = 8. What is p?
  8. 8.Solve: 2t − 11 = 17. What is t?
  9. 9.Solve: 6p − 5 = 13. What is p?
  10. 10.Lakshmi thinks of a number, multiplies it by 3 and then adds 23. The result is 59. What is the number?
  11. 11.Vivaan thinks of a number, multiplies it by 7 and then adds 26. The result is 82. What is the number?
  12. 12.Solve: y/6 + 2 = 8. What is y?
  13. 13.Solve: x/9 + 13 = 17. What is x?
  14. 14.Kabir is 2 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  15. 15.Aarav’s mother is four times as old as Aarav. Their ages add up to 55 years. How old is Aarav?
  16. 16.Rahul thinks of a number, multiplies it by 2 and then adds 21. The result is 25. What is the number?
  17. 17.Solve: 2(n + 6) = 42. What is n?
  18. 18.Solve: 4(x + 1) = 64. What is x?
  19. 19.Meera thinks of a number, multiplies it by 7 and then adds 10. The result is 24. What is the number?
  20. 20.Solve: 3p + 4 = 46. What is p?
  21. 21.Aditya thinks of a number, multiplies it by 3 and then adds 20. The result is 65. What is the number?
  22. 22.Solve: 3n + 27 = 30. What is n?
  23. 23.Meera thinks of a number, multiplies it by 7 and then adds 5. The result is 33. What is the number?
  24. 24.Solve: 8t − 49 = 47. What is t?
  25. 25.Solve: 2y − 1 = 3. What is y?
  26. 26.Dev’s mother is twice as old as Dev. Their ages add up to 30 years. How old is Dev?
  27. 27.Solve: 3y − 28 = 14. What is y?
  28. 28.Solve: x/2 + 6 = 15. What is x?
  29. 29.Solve: 5(y + 6) = 90. What is y?
  30. 30.Solve: m/9 + 5 = 7. What is m?
  31. 31.Solve: 4x − 1 = 3. What is x?
  32. 32.Solve: 4p − 1 = 15. What is p?
  33. 33.Solve: 4t − 4 = 40. What is t?
  34. 34.Solve: 2t + 20 = 42. What is t?
  35. 35.Solve: 9(y + 4) = 171. What is y?
  36. 36.Solve: 6y − 38 = 16. What is y?
  37. 37.Meera is 2 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  38. 38.Isha’s mother is three times as old as Isha. Their ages add up to 56 years. How old is Isha?
  39. 39.Solve: p/6 + 8 = 12. What is p?
  40. 40.Solve: y/7 + 2 = 15. What is y?

Answer key

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

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