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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 48 · 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.Aditya’s mother is four times as old as Aditya. Their ages add up to 70 years. How old is Aditya?
  2. 2.Aditya thinks of a number, multiplies it by 5 and then adds 13. The result is 88. What is the number?
  3. 3.Solve: 4(p + 6) = 68. What is p?
  4. 4.Solve: 3t + 13 = 40. What is t?
  5. 5.Solve: 2p + 21 = 27. What is p?
  6. 6.Saanvi thinks of a number, multiplies it by 6 and then adds 21. The result is 111. What is the number?
  7. 7.Solve: n/7 + 18 = 27. What is n?
  8. 8.Solve: 7y + 24 = 45. What is y?
  9. 9.Tara thinks of a number, multiplies it by 3 and then adds 28. The result is 49. What is the number?
  10. 10.Solve: 7m − 14 = 70. What is m?
  11. 11.Aarav thinks of a number, multiplies it by 8 and then adds 30. The result is 142. What is the number?
  12. 12.Isha thinks of a number, multiplies it by 6 and then adds 1. The result is 31. What is the number?
  13. 13.Solve: 8x − 9 = 7. What is x?
  14. 14.Solve: 3y + 23 = 41. What is y?
  15. 15.Solve: m/6 + 16 = 30. What is m?
  16. 16.Tara thinks of a number, multiplies it by 6 and then adds 13. The result is 85. What is the number?
  17. 17.Solve: 9t − 13 = 77. What is t?
  18. 18.Solve: 3(t + 8) = 51. What is t?
  19. 19.Solve: 6p + 2 = 32. What is p?
  20. 20.Solve: 6n + 5 = 65. What is n?
  21. 21.Solve: 5(t + 1) = 40. What is t?
  22. 22.Kabir’s mother is three times as old as Kabir. Their ages add up to 52 years. How old is Kabir?
  23. 23.Solve: p/4 + 2 = 11. What is p?
  24. 24.Solve: n/4 + 3 = 14. What is n?
  25. 25.Aarav is 6 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  26. 26.Arjun is 1 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  27. 27.Solve: 7t + 14 = 98. What is t?
  28. 28.Pooja thinks of a number, multiplies it by 7 and then adds 13. The result is 27. What is the number?
  29. 29.Priya thinks of a number, multiplies it by 3 and then adds 28. The result is 46. What is the number?
  30. 30.Ananya’s mother is three times as old as Ananya. Their ages add up to 48 years. How old is Ananya?
  31. 31.Solve: 8(x + 5) = 88. What is x?
  32. 32.Solve: 5t − 8 = 12. What is t?
  33. 33.Solve: 3y + 6 = 42. What is y?
  34. 34.Solve: 8p + 16 = 136. What is p?
  35. 35.Solve: 2(p + 9) = 22. What is p?
  36. 36.Solve: 5n − 24 = 46. What is n?
  37. 37.Solve: 8n − 16 = 48. What is n?
  38. 38.Joseph is 2 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  39. 39.Solve: 3n − 5 = 34. What is n?
  40. 40.Solve: 6(m + 9) = 78. What is m?

Answer key

  1. 14
  2. 15
  3. 11
  4. 9
  5. 3
  6. 15
  7. 63
  8. 3
  9. 7
  10. 12
  11. 14
  12. 5
  13. 2
  14. 6
  15. 84
  16. 12
  17. 10
  18. 9
  19. 5
  20. 10
  21. 7
  22. 13
  23. 36
  24. 44
  25. 5
  26. 7
  27. 12
  28. 2
  29. 6
  30. 12
  31. 6
  32. 4
  33. 12
  34. 15
  35. 2
  36. 14
  37. 8
  38. 6
  39. 13
  40. 4

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