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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 84 · 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: 3p + 23 = 50. What is p?
  2. 2.Solve: t/6 + 11 = 22. What is t?
  3. 3.Meera is 1 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  4. 4.Solve: n/4 + 14 = 15. What is n?
  5. 5.Solve: 7(m + 4) = 49. What is m?
  6. 6.Rahul thinks of a number, multiplies it by 5 and then adds 26. The result is 61. What is the number?
  7. 7.Lakshmi’s mother is four times as old as Lakshmi. Their ages add up to 60 years. How old is Lakshmi?
  8. 8.Solve: 3y − 5 = 28. What is y?
  9. 9.Solve: 7x + 12 = 26. What is x?
  10. 10.Solve: 2m + 3 = 29. What is m?
  11. 11.Solve: 9(p + 5) = 180. What is p?
  12. 12.Solve: 7t − 1 = 48. What is t?
  13. 13.Solve: 3t − 3 = 21. What is t?
  14. 14.Solve: 7(n + 8) = 133. What is n?
  15. 15.Solve: 6n − 39 = 33. What is n?
  16. 16.Solve: 6n + 25 = 67. What is n?
  17. 17.Solve: p/4 + 17 = 18. What is p?
  18. 18.Solve: 6n + 22 = 112. What is n?
  19. 19.Farhan’s mother is three times as old as Farhan. Their ages add up to 52 years. How old is Farhan?
  20. 20.Solve: 3p − 22 = 5. What is p?
  21. 21.Solve: p/3 + 4 = 12. What is p?
  22. 22.Solve: 3x − 20 = 13. What is x?
  23. 23.Solve: 5(n + 5) = 30. What is n?
  24. 24.Solve: 3(m + 1) = 15. What is m?
  25. 25.Kavya’s mother is four times as old as Kavya. Their ages add up to 20 years. How old is Kavya?
  26. 26.Solve: 8x + 6 = 46. What is x?
  27. 27.Solve: 8t − 104 = 8. What is t?
  28. 28.Solve: 5t − 16 = 14. What is t?
  29. 29.Solve: 6t + 17 = 29. What is t?
  30. 30.Solve: n/3 + 13 = 25. What is n?
  31. 31.Solve: 8(m + 4) = 56. What is m?
  32. 32.Solve: 2x + 15 = 37. What is x?
  33. 33.Solve: 4p − 25 = 7. What is p?
  34. 34.Solve: 4n + 4 = 48. What is n?
  35. 35.Solve: p/3 + 18 = 20. What is p?
  36. 36.Pooja thinks of a number, multiplies it by 7 and then adds 19. The result is 54. What is the number?
  37. 37.Zoya’s mother is three times as old as Zoya. Their ages add up to 20 years. How old is Zoya?
  38. 38.Solve: n/7 + 15 = 18. What is n?
  39. 39.Solve: 2(x + 7) = 24. What is x?
  40. 40.Solve: 4m − 2 = 10. What is m?

Answer key

  1. 9
  2. 66
  3. 8
  4. 4
  5. 3
  6. 7
  7. 12
  8. 11
  9. 2
  10. 13
  11. 15
  12. 7
  13. 8
  14. 11
  15. 12
  16. 7
  17. 4
  18. 15
  19. 13
  20. 9
  21. 24
  22. 11
  23. 1
  24. 4
  25. 4
  26. 5
  27. 14
  28. 6
  29. 2
  30. 36
  31. 3
  32. 11
  33. 8
  34. 11
  35. 6
  36. 5
  37. 5
  38. 21
  39. 5
  40. 3

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