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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 272 · 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: p/3 + 20 = 25. What is p?
  2. 2.Solve: 5(t + 7) = 60. What is t?
  3. 3.Solve: 3p + 7 = 40. What is p?
  4. 4.Manav thinks of a number, multiplies it by 7 and then adds 24. The result is 115. What is the number?
  5. 5.Solve: 6n − 4 = 32. What is n?
  6. 6.Solve: 5t + 20 = 45. What is t?
  7. 7.Pooja is 6 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  8. 8.Diya’s mother is twice as old as Diya. Their ages add up to 36 years. How old is Diya?
  9. 9.Solve: 5y + 29 = 49. What is y?
  10. 10.Isha thinks of a number, multiplies it by 8 and then adds 7. The result is 47. What is the number?
  11. 11.Rahul thinks of a number, multiplies it by 5 and then adds 8. The result is 58. What is the number?
  12. 12.Farhan is 1 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  13. 13.Solve: 8y − 28 = 76. What is y?
  14. 14.Solve: 4x + 27 = 79. What is x?
  15. 15.Solve: m/7 + 12 = 27. What is m?
  16. 16.Solve: 9y + 11 = 47. What is y?
  17. 17.Zoya thinks of a number, multiplies it by 8 and then adds 27. The result is 75. What is the number?
  18. 18.Tara thinks of a number, multiplies it by 4 and then adds 17. The result is 65. What is the number?
  19. 19.Solve: 2n − 1 = 1. What is n?
  20. 20.Solve: 5y + 20 = 40. What is y?
  21. 21.Solve: 2m − 5 = 3. What is m?
  22. 22.Solve: 4x − 2 = 34. What is x?
  23. 23.Dev is 2 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  24. 24.Solve: x/7 + 9 = 12. What is x?
  25. 25.Solve: 3m + 19 = 40. What is m?
  26. 26.Solve: 3y − 5 = 22. What is y?
  27. 27.Saanvi is 7 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  28. 28.Rohan’s mother is four times as old as Rohan. Their ages add up to 65 years. How old is Rohan?
  29. 29.Solve: 9p + 6 = 33. What is p?
  30. 30.Solve: 3m − 1 = 2. What is m?
  31. 31.Saanvi thinks of a number, multiplies it by 3 and then adds 12. The result is 24. What is the number?
  32. 32.Solve: 4t + 1 = 5. What is t?
  33. 33.Dev’s mother is four times as old as Dev. Their ages add up to 65 years. How old is Dev?
  34. 34.Solve: 2n + 3 = 19. What is n?
  35. 35.Solve: 4p − 3 = 1. What is p?
  36. 36.Solve: 3m − 4 = 38. What is m?
  37. 37.Rohan thinks of a number, multiplies it by 3 and then adds 1. The result is 31. What is the number?
  38. 38.Solve: 7x + 3 = 31. What is x?
  39. 39.Solve: 5(x + 7) = 50. What is x?
  40. 40.Solve: 6(n + 3) = 42. What is n?

Answer key

  1. 15
  2. 5
  3. 11
  4. 13
  5. 6
  6. 5
  7. 14
  8. 12
  9. 4
  10. 5
  11. 10
  12. 5
  13. 13
  14. 13
  15. 105
  16. 4
  17. 6
  18. 12
  19. 1
  20. 4
  21. 4
  22. 9
  23. 5
  24. 21
  25. 7
  26. 9
  27. 12
  28. 13
  29. 3
  30. 1
  31. 4
  32. 1
  33. 13
  34. 8
  35. 1
  36. 14
  37. 10
  38. 4
  39. 3
  40. 4

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