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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 847 · 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: 6n − 49 = 23. What is n?
  2. 2.Solve: 4m + 9 = 53. What is m?
  3. 3.Solve: 6t − 5 = 1. What is t?
  4. 4.Arjun thinks of a number, multiplies it by 6 and then adds 19. The result is 43. What is the number?
  5. 5.Solve: 8(p + 8) = 96. What is p?
  6. 6.Solve: n/8 + 9 = 15. What is n?
  7. 7.Solve: 2(m + 6) = 14. What is m?
  8. 8.Sneha thinks of a number, multiplies it by 7 and then adds 23. The result is 121. What is the number?
  9. 9.Meera thinks of a number, multiplies it by 2 and then adds 7. The result is 33. What is the number?
  10. 10.Solve: 4y + 28 = 56. What is y?
  11. 11.Solve: 2t − 6 = 14. What is t?
  12. 12.Solve: 8(t + 2) = 48. What is t?
  13. 13.Solve: 4n + 4 = 36. What is n?
  14. 14.Solve: 2y + 19 = 35. What is y?
  15. 15.Solve: 8m + 9 = 49. What is m?
  16. 16.Solve: 2p + 2 = 24. What is p?
  17. 17.Solve: 3y + 6 = 12. What is y?
  18. 18.Solve: 5n + 27 = 97. What is n?
  19. 19.Solve: 4y + 24 = 68. What is y?
  20. 20.Rohan thinks of a number, multiplies it by 7 and then adds 13. The result is 118. What is the number?
  21. 21.Aditya thinks of a number, multiplies it by 8 and then adds 1. The result is 9. What is the number?
  22. 22.Dev’s mother is twice as old as Dev. Their ages add up to 33 years. How old is Dev?
  23. 23.Solve: t/4 + 1 = 9. What is t?
  24. 24.Solve: 5p + 5 = 10. What is p?
  25. 25.Solve: 8(y + 4) = 56. What is y?
  26. 26.Kabir thinks of a number, multiplies it by 2 and then adds 6. The result is 8. What is the number?
  27. 27.Solve: 3m − 6 = 18. What is m?
  28. 28.Solve: 8(t + 4) = 96. What is t?
  29. 29.Solve: 3(x + 9) = 54. What is x?
  30. 30.Pooja thinks of a number, multiplies it by 9 and then adds 18. The result is 90. What is the number?
  31. 31.Arjun thinks of a number, multiplies it by 8 and then adds 17. The result is 57. What is the number?
  32. 32.Solve: 2n + 2 = 4. What is n?
  33. 33.Aarav thinks of a number, multiplies it by 2 and then adds 27. The result is 39. What is the number?
  34. 34.Aarav’s mother is three times as old as Aarav. Their ages add up to 48 years. How old is Aarav?
  35. 35.Solve: p/4 + 17 = 25. What is p?
  36. 36.Solve: x/2 + 19 = 22. What is x?
  37. 37.Solve: 2n + 25 = 35. What is n?
  38. 38.Solve: p/2 + 16 = 18. What is p?
  39. 39.Solve: 9(x + 2) = 144. What is x?
  40. 40.Solve: 9m + 7 = 115. What is m?

Answer key

  1. 12
  2. 11
  3. 1
  4. 4
  5. 4
  6. 48
  7. 1
  8. 14
  9. 13
  10. 7
  11. 10
  12. 4
  13. 8
  14. 8
  15. 5
  16. 11
  17. 2
  18. 14
  19. 11
  20. 15
  21. 1
  22. 11
  23. 32
  24. 1
  25. 3
  26. 1
  27. 8
  28. 8
  29. 9
  30. 8
  31. 5
  32. 1
  33. 6
  34. 12
  35. 32
  36. 6
  37. 5
  38. 4
  39. 14
  40. 12

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