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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 281 · 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.Aarav’s mother is three times as old as Aarav. Their ages add up to 28 years. How old is Aarav?
  2. 2.Solve: 6p + 1 = 49. What is p?
  3. 3.Tara thinks of a number, multiplies it by 3 and then adds 10. The result is 52. What is the number?
  4. 4.Solve: 7y + 9 = 114. What is y?
  5. 5.Solve: 4x − 13 = 31. What is x?
  6. 6.Solve: 8p + 18 = 26. What is p?
  7. 7.Rohan thinks of a number, multiplies it by 4 and then adds 20. The result is 24. What is the number?
  8. 8.Solve: m/7 + 19 = 31. What is m?
  9. 9.Solve: 4x + 4 = 32. What is x?
  10. 10.Ananya thinks of a number, multiplies it by 4 and then adds 11. The result is 23. What is the number?
  11. 11.Solve: 8(m + 5) = 48. What is m?
  12. 12.Solve: 9n + 16 = 97. What is n?
  13. 13.Arjun is 6 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  14. 14.Diya is 2 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  15. 15.Solve: y/8 + 2 = 6. What is y?
  16. 16.Solve: 5x + 12 = 82. What is x?
  17. 17.Solve: 5t + 1 = 6. What is t?
  18. 18.Solve: x/5 + 6 = 7. What is x?
  19. 19.Solve: 4(n + 3) = 68. What is n?
  20. 20.Solve: 2y − 21 = 7. What is y?
  21. 21.Solve: 2n − 29 = 1. What is n?
  22. 22.Solve: p/9 + 7 = 11. What is p?
  23. 23.Priya’s mother is twice as old as Priya. Their ages add up to 21 years. How old is Priya?
  24. 24.Aditya thinks of a number, multiplies it by 8 and then adds 1. The result is 57. What is the number?
  25. 25.Solve: 8x + 22 = 118. What is x?
  26. 26.Solve: 6t + 26 = 98. What is t?
  27. 27.Solve: 3(n + 2) = 12. What is n?
  28. 28.Solve: 2(x + 7) = 30. What is x?
  29. 29.Solve: 6p + 15 = 93. What is p?
  30. 30.Solve: 2y − 5 = 11. What is y?
  31. 31.Solve: 6y + 20 = 92. What is y?
  32. 32.Sneha thinks of a number, multiplies it by 7 and then adds 30. The result is 51. What is the number?
  33. 33.Solve: 7y + 11 = 32. What is y?
  34. 34.Solve: 5x + 27 = 97. What is x?
  35. 35.Solve: 6n − 17 = 43. What is n?
  36. 36.Solve: 2m − 27 = 3. What is m?
  37. 37.Solve: 2p − 7 = 13. What is p?
  38. 38.Solve: 2t − 3 = 9. What is t?
  39. 39.Kabir is 4 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  40. 40.Solve: 6y − 22 = 2. What is y?

Answer key

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

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