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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 625 · 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: y/4 + 11 = 14. What is y?
  2. 2.Solve: 6x − 88 = 2. What is x?
  3. 3.Rahul thinks of a number, multiplies it by 3 and then adds 3. The result is 45. What is the number?
  4. 4.Joseph thinks of a number, multiplies it by 2 and then adds 17. The result is 29. What is the number?
  5. 5.Solve: 9(y + 9) = 207. What is y?
  6. 6.Solve: 6n + 30 = 84. What is n?
  7. 7.Rohan’s mother is twice as old as Rohan. Their ages add up to 45 years. How old is Rohan?
  8. 8.Solve: 5x + 1 = 31. What is x?
  9. 9.Solve: 7n − 49 = 35. What is n?
  10. 10.Pooja thinks of a number, multiplies it by 8 and then adds 15. The result is 71. What is the number?
  11. 11.Solve: 8x − 8 = 48. What is x?
  12. 12.Solve: 8p + 30 = 86. What is p?
  13. 13.Saanvi is 4 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  14. 14.Manav thinks of a number, multiplies it by 8 and then adds 13. The result is 101. What is the number?
  15. 15.Rohan is 1 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  16. 16.Solve: 4n + 29 = 41. What is n?
  17. 17.Solve: p/4 + 1 = 4. What is p?
  18. 18.Solve: 2(n + 5) = 22. What is n?
  19. 19.Solve: 3y + 30 = 57. What is y?
  20. 20.Solve: 3p − 21 = 24. What is p?
  21. 21.Solve: 6t − 3 = 3. What is t?
  22. 22.Solve: 3p + 5 = 20. What is p?
  23. 23.Farhan’s mother is three times as old as Farhan. Their ages add up to 24 years. How old is Farhan?
  24. 24.Solve: 5y + 21 = 76. What is y?
  25. 25.Kabir thinks of a number, multiplies it by 2 and then adds 7. The result is 25. What is the number?
  26. 26.Solve: 4m − 7 = 53. What is m?
  27. 27.Solve: 7y − 21 = 14. What is y?
  28. 28.Solve: t/8 + 1 = 8. What is t?
  29. 29.Solve: 9t − 116 = 19. What is t?
  30. 30.Solve: 6n − 53 = 19. What is n?
  31. 31.Solve: 4(y + 7) = 68. What is y?
  32. 32.Zoya’s mother is twice as old as Zoya. Their ages add up to 45 years. How old is Zoya?
  33. 33.Arjun is 3 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  34. 34.Solve: 3m + 5 = 17. What is m?
  35. 35.Solve: 9y + 7 = 70. What is y?
  36. 36.Solve: 4(t + 7) = 32. What is t?
  37. 37.Riya is 5 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  38. 38.Solve: x/6 + 15 = 29. What is x?
  39. 39.Rohan is 7 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  40. 40.Aditya thinks of a number, multiplies it by 8 and then adds 27. The result is 67. What is the number?

Answer key

  1. 12
  2. 15
  3. 14
  4. 6
  5. 14
  6. 9
  7. 15
  8. 6
  9. 12
  10. 7
  11. 7
  12. 7
  13. 15
  14. 11
  15. 6
  16. 3
  17. 12
  18. 6
  19. 9
  20. 15
  21. 1
  22. 5
  23. 6
  24. 11
  25. 9
  26. 15
  27. 5
  28. 56
  29. 15
  30. 12
  31. 10
  32. 15
  33. 8
  34. 4
  35. 7
  36. 1
  37. 7
  38. 84
  39. 10
  40. 5

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