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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 662 · 40 sums
TalentJR

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: n/6 + 6 = 8. What is n?
  2. 2.Solve: 6x + 23 = 65. What is x?
  3. 3.Solve: x/9 + 16 = 22. What is x?
  4. 4.Solve: 2m − 13 = 15. What is m?
  5. 5.Solve: 7(m + 6) = 91. What is m?
  6. 6.Rahul is 5 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  7. 7.Solve: 2t + 9 = 33. What is t?
  8. 8.Solve: p/2 + 13 = 28. What is p?
  9. 9.Solve: 5x − 15 = 35. What is x?
  10. 10.Solve: 9m + 7 = 88. What is m?
  11. 11.Solve: 2y − 6 = 14. What is y?
  12. 12.Solve: 6t + 7 = 55. What is t?
  13. 13.Aditya thinks of a number, multiplies it by 3 and then adds 16. The result is 46. What is the number?
  14. 14.Solve: 9y − 13 = 5. What is y?
  15. 15.Solve: 2p − 9 = 1. What is p?
  16. 16.Solve: 7(m + 5) = 98. What is m?
  17. 17.Solve: 7t − 35 = 21. What is t?
  18. 18.Solve: 6x − 12 = 12. What is x?
  19. 19.Solve: 8n + 25 = 89. What is n?
  20. 20.Aarav thinks of a number, multiplies it by 5 and then adds 15. The result is 35. What is the number?
  21. 21.Solve: 8(y + 8) = 88. What is y?
  22. 22.Sneha thinks of a number, multiplies it by 4 and then adds 18. The result is 58. What is the number?
  23. 23.Solve: 4y − 22 = 14. What is y?
  24. 24.Solve: 7n − 12 = 23. What is n?
  25. 25.Solve: 9m − 68 = 67. What is m?
  26. 26.Solve: 2n + 29 = 37. What is n?
  27. 27.Farhan thinks of a number, multiplies it by 8 and then adds 12. The result is 52. What is the number?
  28. 28.Solve: 5x − 7 = 13. What is x?
  29. 29.Solve: 2(y + 8) = 22. What is y?
  30. 30.Solve: 4(x + 8) = 72. What is x?
  31. 31.Isha is 8 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  32. 32.Solve: 4(y + 1) = 44. What is y?
  33. 33.Ananya is 6 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  34. 34.Solve: 2x − 6 = 16. What is x?
  35. 35.Solve: 9p − 1 = 17. What is p?
  36. 36.Solve: 2n + 8 = 20. What is n?
  37. 37.Solve: 5x + 7 = 42. What is x?
  38. 38.Solve: t/2 + 4 = 15. What is t?
  39. 39.Karan thinks of a number, multiplies it by 2 and then adds 24. The result is 32. What is the number?
  40. 40.Solve: x/4 + 9 = 19. What is x?

Answer key

  1. 12
  2. 7
  3. 54
  4. 14
  5. 7
  6. 8
  7. 12
  8. 30
  9. 10
  10. 9
  11. 10
  12. 8
  13. 10
  14. 2
  15. 5
  16. 9
  17. 8
  18. 4
  19. 8
  20. 4
  21. 3
  22. 10
  23. 9
  24. 5
  25. 15
  26. 4
  27. 5
  28. 4
  29. 3
  30. 10
  31. 11
  32. 10
  33. 4
  34. 11
  35. 2
  36. 6
  37. 7
  38. 22
  39. 4
  40. 40

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