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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 542 · 40 sums
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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.Zoya is 7 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  2. 2.Aditya’s mother is twice as old as Aditya. Their ages add up to 15 years. How old is Aditya?
  3. 3.Solve: 6(x + 2) = 72. What is x?
  4. 4.Sneha thinks of a number, multiplies it by 2 and then adds 6. The result is 16. What is the number?
  5. 5.Solve: 5y − 34 = 26. What is y?
  6. 6.Solve: 9(t + 7) = 72. What is t?
  7. 7.Solve: x/9 + 19 = 24. What is x?
  8. 8.Solve: 2(n + 8) = 38. What is n?
  9. 9.Solve: 5t − 4 = 6. What is t?
  10. 10.Solve: 6(m + 8) = 108. What is m?
  11. 11.Solve: x/8 + 11 = 20. What is x?
  12. 12.Solve: p/3 + 5 = 7. What is p?
  13. 13.Solve: 8(t + 6) = 168. What is t?
  14. 14.Karan thinks of a number, multiplies it by 2 and then adds 19. The result is 47. What is the number?
  15. 15.Solve: 4m + 27 = 63. What is m?
  16. 16.Solve: p/3 + 5 = 19. What is p?
  17. 17.Solve: 3y + 27 = 33. What is y?
  18. 18.Riya thinks of a number, multiplies it by 4 and then adds 29. The result is 73. What is the number?
  19. 19.Solve: 5n − 37 = 13. What is n?
  20. 20.Solve: 9y − 12 = 24. What is y?
  21. 21.Ishaan is 1 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  22. 22.Solve: 4t − 26 = 6. What is t?
  23. 23.Solve: 6m + 15 = 75. What is m?
  24. 24.Solve: 5t + 10 = 80. What is t?
  25. 25.Joseph thinks of a number, multiplies it by 8 and then adds 6. The result is 54. What is the number?
  26. 26.Aarav is 6 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  27. 27.Solve: x/8 + 13 = 24. What is x?
  28. 28.Rahul thinks of a number, multiplies it by 3 and then adds 21. The result is 36. What is the number?
  29. 29.Solve: 2m − 2 = 12. What is m?
  30. 30.Solve: y/5 + 17 = 30. What is y?
  31. 31.Solve: 2y + 3 = 9. What is y?
  32. 32.Solve: 7y + 11 = 60. What is y?
  33. 33.Solve: p/3 + 8 = 19. What is p?
  34. 34.Solve: 2(y + 2) = 14. What is y?
  35. 35.Solve: 9(x + 8) = 189. What is x?
  36. 36.Solve: 5n + 17 = 37. What is n?
  37. 37.Solve: 7p − 8 = 13. What is p?
  38. 38.Solve: 5p − 28 = 22. What is p?
  39. 39.Saanvi thinks of a number, multiplies it by 7 and then adds 18. The result is 25. What is the number?
  40. 40.Solve: 4x + 18 = 66. What is x?

Answer key

  1. 5
  2. 5
  3. 10
  4. 5
  5. 12
  6. 1
  7. 45
  8. 11
  9. 2
  10. 10
  11. 72
  12. 6
  13. 15
  14. 14
  15. 9
  16. 42
  17. 2
  18. 11
  19. 10
  20. 4
  21. 15
  22. 8
  23. 10
  24. 14
  25. 6
  26. 14
  27. 88
  28. 5
  29. 7
  30. 65
  31. 3
  32. 7
  33. 33
  34. 5
  35. 13
  36. 4
  37. 3
  38. 10
  39. 1
  40. 12

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