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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 391 · 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.Sneha’s mother is twice as old as Sneha. Their ages add up to 36 years. How old is Sneha?
  2. 2.Solve: 7y − 18 = 24. What is y?
  3. 3.Solve: t/7 + 4 = 9. What is t?
  4. 4.Solve: 4(t + 9) = 52. What is t?
  5. 5.Rahul’s mother is four times as old as Rahul. Their ages add up to 60 years. How old is Rahul?
  6. 6.Solve: 6y − 2 = 4. What is y?
  7. 7.Solve: 3(t + 7) = 24. What is t?
  8. 8.Solve: 5n + 17 = 92. What is n?
  9. 9.Solve: 2(n + 1) = 18. What is n?
  10. 10.Solve: 3(t + 3) = 24. What is t?
  11. 11.Solve: 9m − 70 = 20. What is m?
  12. 12.Solve: n/4 + 13 = 15. What is n?
  13. 13.Solve: 5t − 15 = 60. What is t?
  14. 14.Aarav thinks of a number, multiplies it by 7 and then adds 7. The result is 77. What is the number?
  15. 15.Solve: 8(y + 8) = 96. What is y?
  16. 16.Aditya’s mother is four times as old as Aditya. Their ages add up to 40 years. How old is Aditya?
  17. 17.Sneha is 5 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  18. 18.Solve: 5t − 24 = 21. What is t?
  19. 19.Solve: 3m + 30 = 48. What is m?
  20. 20.Solve: t/2 + 4 = 12. What is t?
  21. 21.Solve: 7y − 7 = 42. What is y?
  22. 22.Solve: 3(t + 3) = 45. What is t?
  23. 23.Solve: 7y − 11 = 10. What is y?
  24. 24.Solve: p/7 + 4 = 13. What is p?
  25. 25.Solve: 4(x + 3) = 28. What is x?
  26. 26.Nisha thinks of a number, multiplies it by 7 and then adds 29. The result is 43. What is the number?
  27. 27.Solve: t/5 + 13 = 20. What is t?
  28. 28.Solve: 6(t + 8) = 96. What is t?
  29. 29.Solve: x/2 + 10 = 22. What is x?
  30. 30.Meera’s mother is twice as old as Meera. Their ages add up to 12 years. How old is Meera?
  31. 31.Solve: 6y − 41 = 13. What is y?
  32. 32.Solve: x/8 + 20 = 35. What is x?
  33. 33.Solve: t/7 + 2 = 15. What is t?
  34. 34.Solve: x/5 + 17 = 19. What is x?
  35. 35.Solve: t/7 + 18 = 20. What is t?
  36. 36.Solve: 6(x + 2) = 24. What is x?
  37. 37.Ishaan is 7 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
  38. 38.Solve: 2t + 28 = 38. What is t?
  39. 39.Solve: 3m + 5 = 35. What is m?
  40. 40.Solve: 4p + 1 = 17. What is p?

Answer key

  1. 12
  2. 6
  3. 35
  4. 4
  5. 12
  6. 1
  7. 1
  8. 15
  9. 8
  10. 5
  11. 10
  12. 8
  13. 15
  14. 10
  15. 4
  16. 8
  17. 11
  18. 9
  19. 6
  20. 16
  21. 7
  22. 12
  23. 3
  24. 63
  25. 4
  26. 2
  27. 35
  28. 8
  29. 24
  30. 4
  31. 9
  32. 120
  33. 91
  34. 10
  35. 14
  36. 2
  37. 14
  38. 5
  39. 10
  40. 4

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