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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 753 · 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.Rohan thinks of a number, multiplies it by 8 and then adds 13. The result is 77. What is the number?
  2. 2.Farhan thinks of a number, multiplies it by 9 and then adds 9. The result is 45. What is the number?
  3. 3.Aditya thinks of a number, multiplies it by 2 and then adds 17. The result is 27. What is the number?
  4. 4.Solve: 5x + 24 = 29. What is x?
  5. 5.Solve: 3x + 24 = 48. What is x?
  6. 6.Meera thinks of a number, multiplies it by 8 and then adds 29. The result is 141. What is the number?
  7. 7.Solve: n/9 + 6 = 20. What is n?
  8. 8.Pooja thinks of a number, multiplies it by 5 and then adds 3. The result is 23. What is the number?
  9. 9.Solve: 2y + 7 = 29. What is y?
  10. 10.Solve: 2y + 3 = 29. What is y?
  11. 11.Solve: p/2 + 17 = 20. What is p?
  12. 12.Solve: 4p + 11 = 23. What is p?
  13. 13.Solve: 7p + 9 = 107. What is p?
  14. 14.Nisha’s mother is three times as old as Nisha. Their ages add up to 56 years. How old is Nisha?
  15. 15.Rahul thinks of a number, multiplies it by 5 and then adds 23. The result is 38. What is the number?
  16. 16.Solve: 4(n + 2) = 36. What is n?
  17. 17.Solve: 2t − 4 = 4. What is t?
  18. 18.Solve: 5(n + 3) = 45. What is n?
  19. 19.Solve: 9y + 22 = 67. What is y?
  20. 20.Pooja is 7 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  21. 21.Solve: 7m − 35 = 49. What is m?
  22. 22.Solve: 3(n + 2) = 48. What is n?
  23. 23.Solve: 7x + 11 = 81. What is x?
  24. 24.Solve: 4(x + 2) = 40. What is x?
  25. 25.Solve: 9t + 6 = 42. What is t?
  26. 26.Solve: 7m + 5 = 12. What is m?
  27. 27.Aditya thinks of a number, multiplies it by 5 and then adds 18. The result is 68. What is the number?
  28. 28.Riya’s mother is twice as old as Riya. Their ages add up to 30 years. How old is Riya?
  29. 29.Kabir thinks of a number, multiplies it by 3 and then adds 24. The result is 42. What is the number?
  30. 30.Solve: 5m − 32 = 23. What is m?
  31. 31.Solve: 6y − 3 = 15. What is y?
  32. 32.Solve: 2x + 15 = 19. What is x?
  33. 33.Solve: 6n − 4 = 38. What is n?
  34. 34.Aarav’s mother is three times as old as Aarav. Their ages add up to 36 years. How old is Aarav?
  35. 35.Solve: 4(n + 4) = 56. What is n?
  36. 36.Solve: 3(x + 6) = 27. What is x?
  37. 37.Farhan is 4 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  38. 38.Solve: m/2 + 1 = 15. What is m?
  39. 39.Solve: 6m − 5 = 85. What is m?
  40. 40.Solve: 2x − 13 = 7. What is x?

Answer key

  1. 8
  2. 4
  3. 5
  4. 1
  5. 8
  6. 14
  7. 126
  8. 4
  9. 11
  10. 13
  11. 6
  12. 3
  13. 14
  14. 14
  15. 3
  16. 7
  17. 4
  18. 6
  19. 5
  20. 8
  21. 12
  22. 14
  23. 10
  24. 8
  25. 4
  26. 1
  27. 10
  28. 10
  29. 6
  30. 11
  31. 3
  32. 2
  33. 7
  34. 9
  35. 10
  36. 3
  37. 15
  38. 28
  39. 15
  40. 10

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