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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 423 · 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.Gurpreet thinks of a number, multiplies it by 4 and then adds 15. The result is 27. What is the number?
  2. 2.Farhan is 2 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  3. 3.Pooja thinks of a number, multiplies it by 4 and then adds 5. The result is 61. What is the number?
  4. 4.Solve: 7m + 3 = 66. What is m?
  5. 5.Solve: 7x − 53 = 17. What is x?
  6. 6.Solve: 6y + 22 = 40. What is y?
  7. 7.Solve: 8x − 10 = 6. What is x?
  8. 8.Solve: 9p + 4 = 67. What is p?
  9. 9.Pooja thinks of a number, multiplies it by 2 and then adds 18. The result is 22. What is the number?
  10. 10.Priya’s mother is four times as old as Priya. Their ages add up to 55 years. How old is Priya?
  11. 11.Manav is 7 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  12. 12.Solve: 8x − 71 = 49. What is x?
  13. 13.Solve: 4(m + 5) = 44. What is m?
  14. 14.Solve: 6(p + 2) = 84. What is p?
  15. 15.Ananya’s mother is four times as old as Ananya. Their ages add up to 70 years. How old is Ananya?
  16. 16.Solve: n/3 + 17 = 23. What is n?
  17. 17.Solve: 7(t + 3) = 42. What is t?
  18. 18.Solve: m/2 + 20 = 23. What is m?
  19. 19.Pooja thinks of a number, multiplies it by 4 and then adds 1. The result is 57. What is the number?
  20. 20.Solve: 6m − 19 = 53. What is m?
  21. 21.Solve: 9t + 24 = 87. What is t?
  22. 22.Solve: 8y + 13 = 69. What is y?
  23. 23.Solve: p/6 + 2 = 3. What is p?
  24. 24.Isha is 6 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  25. 25.Rohan thinks of a number, multiplies it by 3 and then adds 12. The result is 18. What is the number?
  26. 26.Solve: 9t + 7 = 79. What is t?
  27. 27.Solve: 8x − 45 = 27. What is x?
  28. 28.Solve: m/9 + 1 = 13. What is m?
  29. 29.Saanvi is 4 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  30. 30.Solve: 5(y + 4) = 65. What is y?
  31. 31.Solve: 6(x + 2) = 48. What is x?
  32. 32.Solve: 2x − 8 = 22. What is x?
  33. 33.Riya thinks of a number, multiplies it by 5 and then adds 27. The result is 42. What is the number?
  34. 34.Aditya is 7 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  35. 35.Solve: 2p + 6 = 30. What is p?
  36. 36.Solve: 8p + 4 = 44. What is p?
  37. 37.Solve: 3(p + 7) = 54. What is p?
  38. 38.Sneha’s mother is four times as old as Sneha. Their ages add up to 65 years. How old is Sneha?
  39. 39.Solve: 9y + 1 = 37. What is y?
  40. 40.Solve: 4m + 26 = 54. What is m?

Answer key

  1. 3
  2. 10
  3. 14
  4. 9
  5. 10
  6. 3
  7. 2
  8. 7
  9. 2
  10. 11
  11. 6
  12. 15
  13. 6
  14. 12
  15. 14
  16. 18
  17. 3
  18. 6
  19. 14
  20. 12
  21. 7
  22. 7
  23. 6
  24. 6
  25. 2
  26. 8
  27. 9
  28. 108
  29. 10
  30. 9
  31. 6
  32. 15
  33. 3
  34. 5
  35. 12
  36. 5
  37. 11
  38. 13
  39. 4
  40. 7

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