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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 932 · 40 sums
TalentJR

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.Solve: 4x − 6 = 6. What is x?
  2. 2.Solve: 2x − 7 = 13. What is x?
  3. 3.Ananya is 5 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  4. 4.Ananya thinks of a number, multiplies it by 4 and then adds 30. The result is 62. What is the number?
  5. 5.Solve: 5m + 27 = 87. What is m?
  6. 6.Sneha is 2 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  7. 7.Solve: 9p + 26 = 35. What is p?
  8. 8.Solve: 3m − 25 = 2. What is m?
  9. 9.Meera’s mother is four times as old as Meera. Their ages add up to 20 years. How old is Meera?
  10. 10.Aarav thinks of a number, multiplies it by 2 and then adds 27. The result is 47. What is the number?
  11. 11.Solve: x/7 + 11 = 23. What is x?
  12. 12.Solve: 4x − 30 = 6. What is x?
  13. 13.Solve: x/4 + 9 = 22. What is x?
  14. 14.Ananya thinks of a number, multiplies it by 2 and then adds 14. The result is 38. What is the number?
  15. 15.Vivaan’s mother is three times as old as Vivaan. Their ages add up to 36 years. How old is Vivaan?
  16. 16.Solve: p/6 + 13 = 14. What is p?
  17. 17.Diya is 5 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  18. 18.Solve: 4p − 18 = 30. What is p?
  19. 19.Solve: 9p + 4 = 58. What is p?
  20. 20.Solve: 9m − 36 = 27. What is m?
  21. 21.Solve: 3(t + 2) = 15. What is t?
  22. 22.Solve: 6n − 60 = 30. What is n?
  23. 23.Solve: 5t − 9 = 31. What is t?
  24. 24.Solve: 4n + 23 = 71. What is n?
  25. 25.Pooja thinks of a number, multiplies it by 8 and then adds 26. The result is 34. What is the number?
  26. 26.Rohan is 2 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  27. 27.Solve: 2n − 2 = 4. What is n?
  28. 28.Solve: 5n − 7 = 23. What is n?
  29. 29.Aditya’s mother is three times as old as Aditya. Their ages add up to 20 years. How old is Aditya?
  30. 30.Solve: 7(x + 6) = 119. What is x?
  31. 31.Solve: 4x − 19 = 5. What is x?
  32. 32.Solve: 4(m + 4) = 44. What is m?
  33. 33.Solve: 5x − 4 = 1. What is x?
  34. 34.Solve: 6(y + 5) = 114. What is y?
  35. 35.Solve: 8n − 48 = 8. What is n?
  36. 36.Solve: 2x − 18 = 4. What is x?
  37. 37.Solve: 2(x + 7) = 42. What is x?
  38. 38.Nisha thinks of a number, multiplies it by 6 and then adds 8. The result is 50. What is the number?
  39. 39.Priya’s mother is four times as old as Priya. Their ages add up to 70 years. How old is Priya?
  40. 40.Solve: 3y + 6 = 24. What is y?

Answer key

  1. 3
  2. 10
  3. 5
  4. 8
  5. 12
  6. 5
  7. 1
  8. 9
  9. 4
  10. 10
  11. 84
  12. 9
  13. 52
  14. 12
  15. 9
  16. 6
  17. 14
  18. 12
  19. 6
  20. 7
  21. 3
  22. 15
  23. 8
  24. 12
  25. 1
  26. 8
  27. 3
  28. 6
  29. 5
  30. 11
  31. 6
  32. 7
  33. 1
  34. 14
  35. 7
  36. 11
  37. 14
  38. 7
  39. 14
  40. 6

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