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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 252 · 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.Meera is 2 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  2. 2.Solve: y/6 + 4 = 5. What is y?
  3. 3.Sneha thinks of a number, multiplies it by 5 and then adds 19. The result is 54. What is the number?
  4. 4.Solve: 3y − 13 = 5. What is y?
  5. 5.Aditya’s mother is three times as old as Aditya. Their ages add up to 24 years. How old is Aditya?
  6. 6.Solve: t/5 + 5 = 6. What is t?
  7. 7.Solve: 2t − 19 = 3. What is t?
  8. 8.Isha is 4 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  9. 9.Solve: x/2 + 2 = 13. What is x?
  10. 10.Joseph’s mother is three times as old as Joseph. Their ages add up to 56 years. How old is Joseph?
  11. 11.Meera is 8 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  12. 12.Solve: 2m − 14 = 2. What is m?
  13. 13.Solve: 6y + 14 = 80. What is y?
  14. 14.Solve: 3t + 3 = 12. What is t?
  15. 15.Solve: 3p − 2 = 13. What is p?
  16. 16.Solve: 8x − 21 = 11. What is x?
  17. 17.Solve: y/8 + 17 = 19. What is y?
  18. 18.Rohan thinks of a number, multiplies it by 6 and then adds 26. The result is 50. What is the number?
  19. 19.Lakshmi thinks of a number, multiplies it by 9 and then adds 14. The result is 59. What is the number?
  20. 20.Solve: 2p − 2 = 4. What is p?
  21. 21.Solve: m/7 + 5 = 15. What is m?
  22. 22.Solve: 6n + 24 = 114. What is n?
  23. 23.Solve: 8(m + 6) = 72. What is m?
  24. 24.Solve: 5x + 16 = 91. What is x?
  25. 25.Aarav is 8 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  26. 26.Solve: x/6 + 8 = 17. What is x?
  27. 27.Manav is 8 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  28. 28.Solve: y/7 + 15 = 30. What is y?
  29. 29.Rahul thinks of a number, multiplies it by 7 and then adds 24. The result is 38. What is the number?
  30. 30.Isha is 6 years older than a cousin. Their ages add up to 36 years. How old is the cousin?
  31. 31.Kabir thinks of a number, multiplies it by 4 and then adds 14. The result is 22. What is the number?
  32. 32.Farhan thinks of a number, multiplies it by 4 and then adds 19. The result is 75. What is the number?
  33. 33.Solve: 2x + 28 = 34. What is x?
  34. 34.Pooja thinks of a number, multiplies it by 6 and then adds 21. The result is 33. What is the number?
  35. 35.Solve: m/6 + 6 = 11. What is m?
  36. 36.Arjun’s mother is twice as old as Arjun. Their ages add up to 12 years. How old is Arjun?
  37. 37.Solve: 8(m + 6) = 144. What is m?
  38. 38.Dev thinks of a number, multiplies it by 5 and then adds 2. The result is 57. What is the number?
  39. 39.Solve: 8(t + 7) = 160. What is t?
  40. 40.Solve: 8n + 7 = 47. What is n?

Answer key

  1. 11
  2. 6
  3. 7
  4. 6
  5. 6
  6. 5
  7. 11
  8. 14
  9. 22
  10. 14
  11. 9
  12. 8
  13. 11
  14. 3
  15. 5
  16. 4
  17. 16
  18. 4
  19. 5
  20. 3
  21. 70
  22. 15
  23. 3
  24. 15
  25. 11
  26. 54
  27. 12
  28. 105
  29. 2
  30. 15
  31. 2
  32. 14
  33. 3
  34. 2
  35. 30
  36. 4
  37. 12
  38. 11
  39. 13
  40. 5

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