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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 937 · 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 thinks of a number, multiplies it by 3 and then adds 9. The result is 21. What is the number?
  2. 2.Solve: n/3 + 4 = 8. What is n?
  3. 3.Solve: 3t + 14 = 44. What is t?
  4. 4.Solve: 4p + 9 = 53. What is p?
  5. 5.Solve: p/5 + 2 = 9. What is p?
  6. 6.Solve: y/9 + 19 = 31. What is y?
  7. 7.Solve: 8x + 26 = 66. What is x?
  8. 8.Solve: 7(t + 4) = 77. What is t?
  9. 9.Solve: 8(x + 2) = 88. What is x?
  10. 10.Solve: 9(t + 6) = 144. What is t?
  11. 11.Solve: 5n + 26 = 81. What is n?
  12. 12.Solve: m/7 + 11 = 17. What is m?
  13. 13.Manav is 1 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  14. 14.Solve: p/6 + 20 = 21. What is p?
  15. 15.Solve: 5y + 13 = 33. What is y?
  16. 16.Aarav thinks of a number, multiplies it by 5 and then adds 10. The result is 15. What is the number?
  17. 17.Solve: 6x + 20 = 80. What is x?
  18. 18.Solve: 4(t + 1) = 8. What is t?
  19. 19.Solve: 6y − 3 = 3. What is y?
  20. 20.Rohan thinks of a number, multiplies it by 5 and then adds 17. The result is 42. What is the number?
  21. 21.Solve: 6x + 14 = 26. What is x?
  22. 22.Farhan thinks of a number, multiplies it by 4 and then adds 27. The result is 59. What is the number?
  23. 23.Solve: 2x − 18 = 10. What is x?
  24. 24.Solve: p/3 + 3 = 14. What is p?
  25. 25.Solve: 2x + 2 = 18. What is x?
  26. 26.Aditya’s mother is twice as old as Aditya. Their ages add up to 21 years. How old is Aditya?
  27. 27.Solve: 8n − 21 = 27. What is n?
  28. 28.Solve: 2m − 7 = 13. What is m?
  29. 29.Solve: p/2 + 6 = 14. What is p?
  30. 30.Lakshmi’s mother is twice as old as Lakshmi. Their ages add up to 33 years. How old is Lakshmi?
  31. 31.Solve: t/9 + 17 = 29. What is t?
  32. 32.Farhan’s mother is four times as old as Farhan. Their ages add up to 25 years. How old is Farhan?
  33. 33.Solve: 2(p + 7) = 24. What is p?
  34. 34.Solve: 2n + 6 = 20. What is n?
  35. 35.Solve: x/4 + 18 = 20. What is x?
  36. 36.Solve: 6t + 9 = 93. What is t?
  37. 37.Solve: 3p + 19 = 49. What is p?
  38. 38.Solve: 5m + 1 = 31. What is m?
  39. 39.Kavya thinks of a number, multiplies it by 8 and then adds 22. The result is 30. What is the number?
  40. 40.Solve: x/5 + 6 = 8. What is x?

Answer key

  1. 4
  2. 12
  3. 10
  4. 11
  5. 35
  6. 108
  7. 5
  8. 7
  9. 9
  10. 10
  11. 11
  12. 42
  13. 10
  14. 6
  15. 4
  16. 1
  17. 10
  18. 1
  19. 1
  20. 5
  21. 2
  22. 8
  23. 14
  24. 33
  25. 8
  26. 7
  27. 6
  28. 10
  29. 16
  30. 11
  31. 108
  32. 5
  33. 5
  34. 7
  35. 8
  36. 14
  37. 10
  38. 6
  39. 1
  40. 10

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