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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 251 · 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.Kabir thinks of a number, multiplies it by 2 and then adds 8. The result is 36. What is the number?
  2. 2.Solve: 3y + 25 = 37. What is y?
  3. 3.Solve: x/4 + 6 = 21. What is x?
  4. 4.Solve: 2t − 2 = 28. What is t?
  5. 5.Solve: 6p − 4 = 38. What is p?
  6. 6.Solve: 2x − 5 = 13. What is x?
  7. 7.Saanvi thinks of a number, multiplies it by 5 and then adds 26. The result is 61. What is the number?
  8. 8.Solve: 8y + 16 = 88. What is y?
  9. 9.Solve: 9y + 5 = 95. What is y?
  10. 10.Solve: 4t + 8 = 60. What is t?
  11. 11.Solve: 3n + 23 = 35. What is n?
  12. 12.Aditya is 2 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  13. 13.Solve: 2n − 18 = 10. What is n?
  14. 14.Rohan’s mother is twice as old as Rohan. Their ages add up to 42 years. How old is Rohan?
  15. 15.Solve: 3(x + 1) = 36. What is x?
  16. 16.Solve: 2n − 23 = 3. What is n?
  17. 17.Saanvi thinks of a number, multiplies it by 3 and then adds 5. The result is 47. What is the number?
  18. 18.Rohan thinks of a number, multiplies it by 5 and then adds 15. The result is 45. What is the number?
  19. 19.Ishaan is 5 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  20. 20.Solve: 5n + 20 = 25. What is n?
  21. 21.Solve: n/7 + 6 = 21. What is n?
  22. 22.Dev is 4 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  23. 23.Solve: p/8 + 10 = 18. What is p?
  24. 24.Gurpreet is 4 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  25. 25.Solve: 9n − 32 = 103. What is n?
  26. 26.Solve: 2x + 14 = 42. What is x?
  27. 27.Solve: 7(y + 9) = 98. What is y?
  28. 28.Lakshmi thinks of a number, multiplies it by 4 and then adds 16. The result is 48. What is the number?
  29. 29.Solve: 2x + 25 = 41. What is x?
  30. 30.Karan thinks of a number, multiplies it by 4 and then adds 23. The result is 55. What is the number?
  31. 31.Solve: 5m + 26 = 36. What is m?
  32. 32.Rahul thinks of a number, multiplies it by 4 and then adds 12. The result is 40. What is the number?
  33. 33.Solve: 2t + 8 = 10. What is t?
  34. 34.Solve: 7(x + 8) = 105. What is x?
  35. 35.Solve: 2m − 4 = 26. What is m?
  36. 36.Farhan thinks of a number, multiplies it by 9 and then adds 1. The result is 118. What is the number?
  37. 37.Solve: 4x + 20 = 36. What is x?
  38. 38.Solve: 9t + 23 = 50. What is t?
  39. 39.Solve: 8x − 26 = 78. What is x?
  40. 40.Pooja is 1 years older than a cousin. Their ages add up to 19 years. How old is the cousin?

Answer key

  1. 14
  2. 4
  3. 60
  4. 15
  5. 7
  6. 9
  7. 7
  8. 9
  9. 10
  10. 13
  11. 4
  12. 12
  13. 14
  14. 14
  15. 11
  16. 13
  17. 14
  18. 6
  19. 12
  20. 1
  21. 105
  22. 6
  23. 64
  24. 11
  25. 15
  26. 14
  27. 5
  28. 8
  29. 8
  30. 8
  31. 2
  32. 7
  33. 1
  34. 7
  35. 15
  36. 13
  37. 4
  38. 3
  39. 13
  40. 9

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