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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 40 · 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.Farhan thinks of a number, multiplies it by 4 and then adds 16. The result is 24. What is the number?
  2. 2.Solve: 3y + 23 = 56. What is y?
  3. 3.Solve: 6p − 44 = 10. What is p?
  4. 4.Kabir’s mother is four times as old as Kabir. Their ages add up to 30 years. How old is Kabir?
  5. 5.Solve: 2p − 1 = 3. What is p?
  6. 6.Solve: 4m + 29 = 69. What is m?
  7. 7.Solve: x/6 + 9 = 21. What is x?
  8. 8.Solve: 3(n + 7) = 24. What is n?
  9. 9.Solve: 9(p + 1) = 18. What is p?
  10. 10.Solve: 4(y + 3) = 72. What is y?
  11. 11.Solve: m/8 + 15 = 20. What is m?
  12. 12.Priya thinks of a number, multiplies it by 9 and then adds 22. The result is 139. What is the number?
  13. 13.Meera is 2 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  14. 14.Farhan thinks of a number, multiplies it by 4 and then adds 2. The result is 50. What is the number?
  15. 15.Solve: t/2 + 3 = 14. What is t?
  16. 16.Solve: 2x − 1 = 9. What is x?
  17. 17.Solve: 9y + 14 = 140. What is y?
  18. 18.Solve: 2x − 1 = 1. What is x?
  19. 19.Rahul thinks of a number, multiplies it by 4 and then adds 5. The result is 41. What is the number?
  20. 20.Kabir thinks of a number, multiplies it by 3 and then adds 22. The result is 46. What is the number?
  21. 21.Tara is 1 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  22. 22.Solve: t/3 + 8 = 19. What is t?
  23. 23.Dev thinks of a number, multiplies it by 4 and then adds 24. The result is 48. What is the number?
  24. 24.Solve: 8p − 1 = 39. What is p?
  25. 25.Priya thinks of a number, multiplies it by 4 and then adds 8. The result is 24. What is the number?
  26. 26.Solve: 6p − 37 = 11. What is p?
  27. 27.Solve: 8p − 5 = 27. What is p?
  28. 28.Solve: 3p + 12 = 54. What is p?
  29. 29.Solve: 5p + 8 = 83. What is p?
  30. 30.Zoya is 6 years older than a cousin. Their ages add up to 36 years. How old is the cousin?
  31. 31.Solve: n/2 + 6 = 10. What is n?
  32. 32.Pooja thinks of a number, multiplies it by 6 and then adds 23. The result is 95. What is the number?
  33. 33.Solve: 6m − 22 = 2. What is m?
  34. 34.Solve: 2m + 3 = 31. What is m?
  35. 35.Solve: 9m − 27 = 9. What is m?
  36. 36.Solve: 4x − 4 = 56. What is x?
  37. 37.Manav’s mother is four times as old as Manav. Their ages add up to 75 years. How old is Manav?
  38. 38.Solve: 6m + 14 = 68. What is m?
  39. 39.Tara thinks of a number, multiplies it by 5 and then adds 22. The result is 47. What is the number?
  40. 40.Solve: 8n + 6 = 54. What is n?

Answer key

  1. 2
  2. 11
  3. 9
  4. 6
  5. 2
  6. 10
  7. 72
  8. 1
  9. 1
  10. 15
  11. 40
  12. 13
  13. 15
  14. 12
  15. 22
  16. 5
  17. 14
  18. 1
  19. 9
  20. 8
  21. 6
  22. 33
  23. 6
  24. 5
  25. 4
  26. 8
  27. 4
  28. 14
  29. 15
  30. 15
  31. 8
  32. 12
  33. 4
  34. 14
  35. 4
  36. 15
  37. 15
  38. 9
  39. 5
  40. 6

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