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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 27 · 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.Solve: 8y − 25 = 55. What is y?
  2. 2.Rahul’s mother is twice as old as Rahul. Their ages add up to 24 years. How old is Rahul?
  3. 3.Solve: 5t + 17 = 77. What is t?
  4. 4.Solve: 2p − 9 = 3. What is p?
  5. 5.Solve: 3t + 5 = 44. What is t?
  6. 6.Pooja thinks of a number, multiplies it by 4 and then adds 11. The result is 19. What is the number?
  7. 7.Solve: 6x + 21 = 63. What is x?
  8. 8.Solve: 2y − 13 = 13. What is y?
  9. 9.Rohan thinks of a number, multiplies it by 9 and then adds 5. The result is 140. What is the number?
  10. 10.Solve: 9n + 12 = 120. What is n?
  11. 11.Joseph’s mother is twice as old as Joseph. Their ages add up to 21 years. How old is Joseph?
  12. 12.Solve: 3x − 1 = 2. What is x?
  13. 13.Solve: p/2 + 16 = 18. What is p?
  14. 14.Solve: 2(x + 8) = 30. What is x?
  15. 15.Solve: 4x + 6 = 42. What is x?
  16. 16.Solve: x/9 + 10 = 19. What is x?
  17. 17.Solve: 3p − 5 = 4. What is p?
  18. 18.Solve: 8p − 62 = 50. What is p?
  19. 19.Farhan thinks of a number, multiplies it by 4 and then adds 10. The result is 54. What is the number?
  20. 20.Zoya thinks of a number, multiplies it by 2 and then adds 14. The result is 40. What is the number?
  21. 21.Solve: p/6 + 17 = 28. What is p?
  22. 22.Solve: p/5 + 3 = 14. What is p?
  23. 23.Solve: 9(m + 2) = 72. What is m?
  24. 24.Farhan thinks of a number, multiplies it by 7 and then adds 2. The result is 58. What is the number?
  25. 25.Solve: 7n − 19 = 16. What is n?
  26. 26.Ananya thinks of a number, multiplies it by 4 and then adds 27. The result is 83. What is the number?
  27. 27.Solve: 5t − 44 = 11. What is t?
  28. 28.Solve: p/9 + 1 = 9. What is p?
  29. 29.Aarav is 7 years older than a cousin. Their ages add up to 37 years. How old is the cousin?
  30. 30.Solve: p/4 + 19 = 30. What is p?
  31. 31.Ishaan thinks of a number, multiplies it by 5 and then adds 26. The result is 31. What is the number?
  32. 32.Farhan thinks of a number, multiplies it by 3 and then adds 7. The result is 25. What is the number?
  33. 33.Rohan thinks of a number, multiplies it by 4 and then adds 28. The result is 84. What is the number?
  34. 34.Manav is 7 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  35. 35.Solve: 4y − 4 = 16. What is y?
  36. 36.Solve: 3t − 4 = 8. What is t?
  37. 37.Solve: x/5 + 18 = 23. What is x?
  38. 38.Aarav thinks of a number, multiplies it by 4 and then adds 8. The result is 48. What is the number?
  39. 39.Dev is 7 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  40. 40.Solve: p/3 + 9 = 22. What is p?

Answer key

  1. 10
  2. 8
  3. 12
  4. 6
  5. 13
  6. 2
  7. 7
  8. 13
  9. 15
  10. 12
  11. 7
  12. 1
  13. 4
  14. 7
  15. 9
  16. 81
  17. 3
  18. 14
  19. 11
  20. 13
  21. 66
  22. 55
  23. 6
  24. 8
  25. 5
  26. 14
  27. 11
  28. 72
  29. 15
  30. 44
  31. 1
  32. 6
  33. 14
  34. 6
  35. 5
  36. 4
  37. 25
  38. 10
  39. 10
  40. 39

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