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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 395 · 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: 4m + 12 = 64. What is m?
  2. 2.Solve: 6(t + 7) = 54. What is t?
  3. 3.Solve: 3x − 1 = 2. What is x?
  4. 4.Saanvi thinks of a number, multiplies it by 8 and then adds 8. The result is 16. What is the number?
  5. 5.Sneha’s mother is three times as old as Sneha. Their ages add up to 56 years. How old is Sneha?
  6. 6.Pooja’s mother is four times as old as Pooja. Their ages add up to 20 years. How old is Pooja?
  7. 7.Solve: 6(x + 1) = 72. What is x?
  8. 8.Solve: 2(m + 1) = 24. What is m?
  9. 9.Aarav thinks of a number, multiplies it by 2 and then adds 20. The result is 48. What is the number?
  10. 10.Rahul thinks of a number, multiplies it by 4 and then adds 25. The result is 61. What is the number?
  11. 11.Solve: 4n − 3 = 9. What is n?
  12. 12.Solve: 6n − 7 = 23. What is n?
  13. 13.Solve: 3x + 11 = 35. What is x?
  14. 14.Solve: 7(x + 8) = 91. What is x?
  15. 15.Solve: 4p + 14 = 50. What is p?
  16. 16.Nisha is 1 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  17. 17.Solve: 4n + 2 = 14. What is n?
  18. 18.Solve: 5(t + 8) = 75. What is t?
  19. 19.Solve: 2n + 10 = 12. What is n?
  20. 20.Manav thinks of a number, multiplies it by 5 and then adds 15. The result is 20. What is the number?
  21. 21.Solve: 9t − 69 = 39. What is t?
  22. 22.Solve: 6m + 11 = 95. What is m?
  23. 23.Solve: 9p − 51 = 66. What is p?
  24. 24.Solve: y/4 + 8 = 11. What is y?
  25. 25.Solve: 4t + 7 = 23. What is t?
  26. 26.Solve: 7n + 12 = 117. What is n?
  27. 27.Solve: 6n − 19 = 29. What is n?
  28. 28.Solve: 2p + 25 = 31. What is p?
  29. 29.Kavya thinks of a number, multiplies it by 2 and then adds 1. The result is 13. What is the number?
  30. 30.Solve: 3m − 22 = 20. What is m?
  31. 31.Solve: 6m − 12 = 6. What is m?
  32. 32.Solve: 2y + 22 = 46. What is y?
  33. 33.Solve: 5n − 6 = 69. What is n?
  34. 34.Solve: 4p + 29 = 77. What is p?
  35. 35.Aditya is 7 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  36. 36.Solve: 2y − 1 = 5. What is y?
  37. 37.Solve: 2m − 9 = 19. What is m?
  38. 38.Solve: 9x − 14 = 49. What is x?
  39. 39.Solve: 2(n + 7) = 22. What is n?
  40. 40.Vivaan is 5 years older than a cousin. Their ages add up to 15 years. How old is the cousin?

Answer key

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

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