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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 534 · 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 60 years. How old is Aditya?
  2. 2.Solve: 4x − 9 = 7. What is x?
  3. 3.Saanvi thinks of a number, multiplies it by 4 and then adds 17. The result is 37. What is the number?
  4. 4.Arjun is 2 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  5. 5.Solve: 7m + 11 = 46. What is m?
  6. 6.Zoya thinks of a number, multiplies it by 9 and then adds 21. The result is 102. What is the number?
  7. 7.Aarav is 5 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  8. 8.Solve: 2m + 1 = 9. What is m?
  9. 9.Solve: x/7 + 17 = 23. What is x?
  10. 10.Solve: 8t + 22 = 86. What is t?
  11. 11.Solve: 3y − 8 = 7. What is y?
  12. 12.Solve: 8(t + 8) = 72. What is t?
  13. 13.Solve: p/7 + 2 = 4. What is p?
  14. 14.Solve: 3y − 6 = 24. What is y?
  15. 15.Solve: 3t + 24 = 45. What is t?
  16. 16.Tara thinks of a number, multiplies it by 8 and then adds 17. The result is 89. What is the number?
  17. 17.Ananya is 5 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  18. 18.Riya’s mother is three times as old as Riya. Their ages add up to 40 years. How old is Riya?
  19. 19.Rohan is 1 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  20. 20.Solve: 5x + 24 = 39. What is x?
  21. 21.Solve: x/2 + 17 = 27. What is x?
  22. 22.Solve: 2(t + 6) = 40. What is t?
  23. 23.Solve: 6t − 12 = 12. What is t?
  24. 24.Solve: 3n + 14 = 59. What is n?
  25. 25.Solve: p/3 + 6 = 12. What is p?
  26. 26.Meera’s mother is three times as old as Meera. Their ages add up to 20 years. How old is Meera?
  27. 27.Solve: 8(n + 3) = 64. What is n?
  28. 28.Diya thinks of a number, multiplies it by 4 and then adds 2. The result is 30. What is the number?
  29. 29.Solve: y/8 + 17 = 24. What is y?
  30. 30.Solve: 7m + 13 = 34. What is m?
  31. 31.Solve: y/3 + 8 = 20. What is y?
  32. 32.Solve: x/3 + 4 = 5. What is x?
  33. 33.Solve: 2y + 2 = 20. What is y?
  34. 34.Solve: n/8 + 5 = 18. What is n?
  35. 35.Solve: 2p + 6 = 30. What is p?
  36. 36.Rahul thinks of a number, multiplies it by 8 and then adds 24. The result is 96. What is the number?
  37. 37.Solve: m/6 + 10 = 12. What is m?
  38. 38.Gurpreet thinks of a number, multiplies it by 8 and then adds 23. The result is 119. What is the number?
  39. 39.Joseph thinks of a number, multiplies it by 2 and then adds 22. The result is 48. What is the number?
  40. 40.Solve: 2p − 1 = 1. What is p?

Answer key

  1. 12
  2. 4
  3. 5
  4. 5
  5. 5
  6. 9
  7. 4
  8. 4
  9. 42
  10. 8
  11. 5
  12. 1
  13. 14
  14. 10
  15. 7
  16. 9
  17. 6
  18. 10
  19. 5
  20. 3
  21. 20
  22. 14
  23. 4
  24. 15
  25. 18
  26. 5
  27. 5
  28. 7
  29. 56
  30. 3
  31. 36
  32. 3
  33. 9
  34. 104
  35. 12
  36. 9
  37. 12
  38. 12
  39. 13
  40. 1

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