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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 670 · 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: 9n − 45 = 54. What is n?
  2. 2.Solve: n/6 + 2 = 12. What is n?
  3. 3.Manav thinks of a number, multiplies it by 4 and then adds 13. The result is 21. What is the number?
  4. 4.Solve: 7p + 1 = 78. What is p?
  5. 5.Tara thinks of a number, multiplies it by 2 and then adds 8. The result is 12. What is the number?
  6. 6.Solve: 8(t + 3) = 64. What is t?
  7. 7.Isha thinks of a number, multiplies it by 2 and then adds 23. The result is 53. What is the number?
  8. 8.Solve: 4(y + 8) = 44. What is y?
  9. 9.Solve: p/2 + 12 = 16. What is p?
  10. 10.Sneha is 8 years older than a cousin. Their ages add up to 36 years. How old is the cousin?
  11. 11.Solve: 7t − 48 = 29. What is t?
  12. 12.Rahul thinks of a number, multiplies it by 3 and then adds 21. The result is 51. What is the number?
  13. 13.Solve: 9x + 3 = 48. What is x?
  14. 14.Solve: 2y − 3 = 1. What is y?
  15. 15.Solve: 4x − 7 = 21. What is x?
  16. 16.Solve: 7y − 21 = 28. What is y?
  17. 17.Solve: x/4 + 20 = 34. What is x?
  18. 18.Solve: 2x − 5 = 9. What is x?
  19. 19.Solve: 6t + 7 = 97. What is t?
  20. 20.Solve: n/7 + 12 = 27. What is n?
  21. 21.Solve: 9x + 2 = 110. What is x?
  22. 22.Arjun thinks of a number, multiplies it by 2 and then adds 8. The result is 14. What is the number?
  23. 23.Solve: 8(x + 6) = 152. What is x?
  24. 24.Solve: 8p − 62 = 18. What is p?
  25. 25.Solve: 7(y + 4) = 133. What is y?
  26. 26.Solve: 2p + 21 = 23. What is p?
  27. 27.Solve: 7p − 15 = 41. What is p?
  28. 28.Solve: 8x − 10 = 6. What is x?
  29. 29.Solve: 9x − 24 = 21. What is x?
  30. 30.Solve: 4x − 19 = 29. What is x?
  31. 31.Solve: 6(x + 7) = 66. What is x?
  32. 32.Solve: 6y − 6 = 48. What is y?
  33. 33.Rohan’s mother is three times as old as Rohan. Their ages add up to 24 years. How old is Rohan?
  34. 34.Pooja thinks of a number, multiplies it by 2 and then adds 16. The result is 32. What is the number?
  35. 35.Diya thinks of a number, multiplies it by 8 and then adds 13. The result is 21. What is the number?
  36. 36.Aditya thinks of a number, multiplies it by 8 and then adds 9. The result is 17. What is the number?
  37. 37.Solve: 3t + 9 = 12. What is t?
  38. 38.Solve: 3m − 9 = 18. What is m?
  39. 39.Solve: 5x + 20 = 75. What is x?
  40. 40.Kabir thinks of a number, multiplies it by 8 and then adds 1. The result is 113. What is the number?

Answer key

  1. 11
  2. 60
  3. 2
  4. 11
  5. 2
  6. 5
  7. 15
  8. 3
  9. 8
  10. 14
  11. 11
  12. 10
  13. 5
  14. 2
  15. 7
  16. 7
  17. 56
  18. 7
  19. 15
  20. 105
  21. 12
  22. 3
  23. 13
  24. 10
  25. 15
  26. 1
  27. 8
  28. 2
  29. 5
  30. 12
  31. 4
  32. 9
  33. 6
  34. 8
  35. 1
  36. 1
  37. 1
  38. 9
  39. 11
  40. 14

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