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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 621 · 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: m/4 + 13 = 14. What is m?
  2. 2.Solve: 7(n + 1) = 98. What is n?
  3. 3.Solve: 9y − 81 = 27. What is y?
  4. 4.Solve: 6x − 8 = 76. What is x?
  5. 5.Solve: 6y + 17 = 35. What is y?
  6. 6.Solve: 3m − 8 = 16. What is m?
  7. 7.Solve: 7t − 83 = 15. What is t?
  8. 8.Solve: 9p + 17 = 53. What is p?
  9. 9.Solve: 8(p + 6) = 56. What is p?
  10. 10.Kabir thinks of a number, multiplies it by 6 and then adds 15. The result is 105. What is the number?
  11. 11.Solve: 4(m + 1) = 32. What is m?
  12. 12.Solve: 8p + 7 = 15. What is p?
  13. 13.Dev’s mother is twice as old as Dev. Their ages add up to 36 years. How old is Dev?
  14. 14.Meera is 3 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  15. 15.Solve: 9p + 12 = 75. What is p?
  16. 16.Solve: 7y + 29 = 71. What is y?
  17. 17.Solve: 5(m + 9) = 115. What is m?
  18. 18.Rahul is 6 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  19. 19.Solve: n/4 + 7 = 18. What is n?
  20. 20.Lakshmi thinks of a number, multiplies it by 9 and then adds 22. The result is 157. What is the number?
  21. 21.Solve: 2x + 21 = 27. What is x?
  22. 22.Priya is 4 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  23. 23.Solve: 5(y + 8) = 95. What is y?
  24. 24.Rohan thinks of a number, multiplies it by 2 and then adds 28. The result is 54. What is the number?
  25. 25.Solve: 7x − 15 = 13. What is x?
  26. 26.Ishaan is 6 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  27. 27.Solve: 3p + 20 = 23. What is p?
  28. 28.Rohan’s mother is four times as old as Rohan. Their ages add up to 65 years. How old is Rohan?
  29. 29.Solve: 3n − 34 = 5. What is n?
  30. 30.Solve: 8t − 17 = 63. What is t?
  31. 31.Pooja thinks of a number, multiplies it by 9 and then adds 5. The result is 122. What is the number?
  32. 32.Aditya’s mother is twice as old as Aditya. Their ages add up to 12 years. How old is Aditya?
  33. 33.Solve: 4(p + 4) = 76. What is p?
  34. 34.Solve: n/8 + 3 = 5. What is n?
  35. 35.Solve: 8(n + 6) = 168. What is n?
  36. 36.Dev’s mother is three times as old as Dev. Their ages add up to 24 years. How old is Dev?
  37. 37.Kavya thinks of a number, multiplies it by 3 and then adds 19. The result is 52. What is the number?
  38. 38.Solve: 5(m + 3) = 75. What is m?
  39. 39.Solve: 4(n + 1) = 28. What is n?
  40. 40.Solve: n/6 + 11 = 13. What is n?

Answer key

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

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