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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 517 · 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: 2(n + 2) = 10. What is n?
  2. 2.Solve: p/9 + 10 = 14. What is p?
  3. 3.Tara is 3 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  4. 4.Solve: 7(y + 2) = 35. What is y?
  5. 5.Solve: 4m + 6 = 30. What is m?
  6. 6.Solve: 6p − 46 = 44. What is p?
  7. 7.Solve: y/7 + 3 = 14. What is y?
  8. 8.Solve: 9p − 13 = 68. What is p?
  9. 9.Manav’s mother is twice as old as Manav. Their ages add up to 30 years. How old is Manav?
  10. 10.Solve: 2n + 1 = 9. What is n?
  11. 11.Solve: 4m − 5 = 7. What is m?
  12. 12.Solve: 6(p + 5) = 66. What is p?
  13. 13.Priya thinks of a number, multiplies it by 3 and then adds 10. The result is 49. What is the number?
  14. 14.Aditya thinks of a number, multiplies it by 2 and then adds 2. The result is 30. What is the number?
  15. 15.Aditya’s mother is four times as old as Aditya. Their ages add up to 35 years. How old is Aditya?
  16. 16.Solve: 3y − 9 = 3. What is y?
  17. 17.Solve: x/3 + 16 = 30. What is x?
  18. 18.Solve: 9y + 2 = 47. What is y?
  19. 19.Lakshmi thinks of a number, multiplies it by 4 and then adds 26. The result is 62. What is the number?
  20. 20.Solve: p/9 + 10 = 12. What is p?
  21. 21.Solve: 8p − 10 = 6. What is p?
  22. 22.Solve: y/8 + 1 = 3. What is y?
  23. 23.Solve: 7t + 20 = 111. What is t?
  24. 24.Solve: 5y − 1 = 14. What is y?
  25. 25.Diya thinks of a number, multiplies it by 6 and then adds 1. The result is 49. What is the number?
  26. 26.Zoya thinks of a number, multiplies it by 2 and then adds 4. The result is 22. What is the number?
  27. 27.Solve: 5x + 28 = 43. What is x?
  28. 28.Solve: 9x + 16 = 25. What is x?
  29. 29.Solve: 5n + 20 = 25. What is n?
  30. 30.Manav’s mother is four times as old as Manav. Their ages add up to 25 years. How old is Manav?
  31. 31.Solve: 7m − 5 = 72. What is m?
  32. 32.Zoya’s mother is twice as old as Zoya. Their ages add up to 12 years. How old is Zoya?
  33. 33.Solve: 8x + 5 = 61. What is x?
  34. 34.Nisha is 2 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  35. 35.Solve: 6(t + 5) = 48. What is t?
  36. 36.Solve: 2(n + 5) = 26. What is n?
  37. 37.Solve: p/6 + 8 = 11. What is p?
  38. 38.Solve: 6t + 2 = 8. What is t?
  39. 39.Solve: 3p + 14 = 47. What is p?
  40. 40.Gurpreet thinks of a number, multiplies it by 4 and then adds 29. The result is 33. What is the number?

Answer key

  1. 3
  2. 36
  3. 12
  4. 3
  5. 6
  6. 15
  7. 77
  8. 9
  9. 10
  10. 4
  11. 3
  12. 6
  13. 13
  14. 14
  15. 7
  16. 4
  17. 42
  18. 5
  19. 9
  20. 18
  21. 2
  22. 16
  23. 13
  24. 3
  25. 8
  26. 9
  27. 3
  28. 1
  29. 1
  30. 5
  31. 11
  32. 4
  33. 7
  34. 10
  35. 3
  36. 8
  37. 18
  38. 1
  39. 11
  40. 1

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