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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 122 · 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: 6x − 13 = 35. What is x?
  2. 2.Solve: 2y + 17 = 37. What is y?
  3. 3.Solve: 8(n + 2) = 40. What is n?
  4. 4.Ananya thinks of a number, multiplies it by 7 and then adds 17. The result is 38. What is the number?
  5. 5.Solve: 4t + 12 = 48. What is t?
  6. 6.Rohan’s mother is twice as old as Rohan. Their ages add up to 24 years. How old is Rohan?
  7. 7.Ananya thinks of a number, multiplies it by 6 and then adds 8. The result is 20. What is the number?
  8. 8.Solve: 6x − 74 = 16. What is x?
  9. 9.Kavya is 5 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  10. 10.Solve: 2p − 1 = 3. What is p?
  11. 11.Solve: 6(y + 7) = 60. What is y?
  12. 12.Solve: 5n − 2 = 38. What is n?
  13. 13.Solve: n/7 + 8 = 14. What is n?
  14. 14.Diya is 8 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  15. 15.Meera is 6 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  16. 16.Ananya’s mother is three times as old as Ananya. Their ages add up to 28 years. How old is Ananya?
  17. 17.Solve: p/3 + 15 = 18. What is p?
  18. 18.Riya thinks of a number, multiplies it by 4 and then adds 19. The result is 59. What is the number?
  19. 19.Solve: 5(x + 7) = 90. What is x?
  20. 20.Solve: 7y − 14 = 21. What is y?
  21. 21.Solve: 2y + 13 = 25. What is y?
  22. 22.Solve: 4x + 4 = 60. What is x?
  23. 23.Solve: 3(n + 6) = 36. What is n?
  24. 24.Solve: 8n − 84 = 12. What is n?
  25. 25.Solve: 7x + 14 = 105. What is x?
  26. 26.Solve: 8m + 25 = 65. What is m?
  27. 27.Solve: t/2 + 9 = 12. What is t?
  28. 28.Solve: 2y + 20 = 48. What is y?
  29. 29.Zoya’s mother is four times as old as Zoya. Their ages add up to 30 years. How old is Zoya?
  30. 30.Solve: 7y + 30 = 37. What is y?
  31. 31.Solve: 7(p + 1) = 35. What is p?
  32. 32.Solve: p/5 + 2 = 8. What is p?
  33. 33.Solve: 6y − 48 = 6. What is y?
  34. 34.Kabir thinks of a number, multiplies it by 4 and then adds 27. The result is 43. What is the number?
  35. 35.Solve: t/4 + 17 = 18. What is t?
  36. 36.Solve: 4y − 52 = 4. What is y?
  37. 37.Solve: 6t + 11 = 47. What is t?
  38. 38.Solve: 9x − 87 = 39. What is x?
  39. 39.Solve: 8n − 13 = 67. What is n?
  40. 40.Tara’s mother is twice as old as Tara. Their ages add up to 15 years. How old is Tara?

Answer key

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

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