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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 302 · 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.Solve: 2x − 14 = 2. What is x?
  2. 2.Riya thinks of a number, multiplies it by 5 and then adds 11. The result is 31. What is the number?
  3. 3.Saanvi thinks of a number, multiplies it by 6 and then adds 2. The result is 38. What is the number?
  4. 4.Sneha thinks of a number, multiplies it by 7 and then adds 7. The result is 63. What is the number?
  5. 5.Solve: m/2 + 11 = 17. What is m?
  6. 6.Solve: p/3 + 15 = 29. What is p?
  7. 7.Lakshmi’s mother is four times as old as Lakshmi. Their ages add up to 35 years. How old is Lakshmi?
  8. 8.Kabir is 1 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  9. 9.Solve: 5x − 12 = 38. What is x?
  10. 10.Saanvi thinks of a number, multiplies it by 4 and then adds 29. The result is 65. What is the number?
  11. 11.Solve: 6n + 12 = 72. What is n?
  12. 12.Solve: x/3 + 19 = 34. What is x?
  13. 13.Solve: 3m − 26 = 4. What is m?
  14. 14.Solve: 4n − 51 = 9. What is n?
  15. 15.Solve: 4n + 17 = 49. What is n?
  16. 16.Solve: 5n + 16 = 56. What is n?
  17. 17.Kabir’s mother is four times as old as Kabir. Their ages add up to 35 years. How old is Kabir?
  18. 18.Solve: p/4 + 8 = 22. What is p?
  19. 19.Ishaan thinks of a number, multiplies it by 9 and then adds 23. The result is 32. What is the number?
  20. 20.Solve: 8x + 6 = 70. What is x?
  21. 21.Solve: 2n + 10 = 30. What is n?
  22. 22.Solve: y/7 + 18 = 32. What is y?
  23. 23.Solve: 4(x + 1) = 60. What is x?
  24. 24.Solve: x/3 + 18 = 26. What is x?
  25. 25.Meera thinks of a number, multiplies it by 8 and then adds 13. The result is 109. What is the number?
  26. 26.Tara thinks of a number, multiplies it by 3 and then adds 27. The result is 51. What is the number?
  27. 27.Solve: 5(y + 6) = 105. What is y?
  28. 28.Solve: 6t + 7 = 67. What is t?
  29. 29.Solve: 8y − 2 = 6. What is y?
  30. 30.Kabir is 2 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  31. 31.Solve: 7(x + 2) = 63. What is x?
  32. 32.Solve: p/6 + 8 = 14. What is p?
  33. 33.Solve: 5n − 7 = 3. What is n?
  34. 34.Solve: 7(y + 7) = 147. What is y?
  35. 35.Dev thinks of a number, multiplies it by 9 and then adds 30. The result is 156. What is the number?
  36. 36.Solve: p/4 + 6 = 9. What is p?
  37. 37.Rohan thinks of a number, multiplies it by 2 and then adds 3. The result is 33. What is the number?
  38. 38.Solve: 4m − 2 = 14. What is m?
  39. 39.Solve: m/2 + 6 = 7. What is m?
  40. 40.Solve: 6(p + 1) = 54. What is p?

Answer key

  1. 8
  2. 4
  3. 6
  4. 8
  5. 12
  6. 42
  7. 7
  8. 15
  9. 10
  10. 9
  11. 10
  12. 45
  13. 10
  14. 15
  15. 8
  16. 8
  17. 7
  18. 56
  19. 1
  20. 8
  21. 10
  22. 98
  23. 14
  24. 24
  25. 12
  26. 8
  27. 15
  28. 10
  29. 1
  30. 5
  31. 7
  32. 36
  33. 2
  34. 14
  35. 14
  36. 12
  37. 15
  38. 4
  39. 2
  40. 8

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