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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 195 · 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: 7t + 5 = 19. What is t?
  2. 2.Solve: 9(m + 2) = 153. What is m?
  3. 3.Solve: 7x − 18 = 10. What is x?
  4. 4.Solve: 9x − 43 = 83. What is x?
  5. 5.Solve: 6y + 3 = 93. What is y?
  6. 6.Meera thinks of a number, multiplies it by 3 and then adds 1. The result is 28. What is the number?
  7. 7.Solve: x/9 + 1 = 2. What is x?
  8. 8.Solve: 3(y + 7) = 24. What is y?
  9. 9.Karan’s mother is three times as old as Karan. Their ages add up to 16 years. How old is Karan?
  10. 10.Solve: y/5 + 15 = 30. What is y?
  11. 11.Solve: 9x + 19 = 46. What is x?
  12. 12.Solve: 8t + 14 = 54. What is t?
  13. 13.Solve: 7x + 6 = 34. What is x?
  14. 14.Solve: 2n + 1 = 7. What is n?
  15. 15.Solve: 5(t + 2) = 30. What is t?
  16. 16.Solve: 3(p + 7) = 60. What is p?
  17. 17.Ananya is 4 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  18. 18.Solve: 8y − 39 = 57. What is y?
  19. 19.Solve: 3y − 15 = 6. What is y?
  20. 20.Solve: 5t − 3 = 2. What is t?
  21. 21.Isha is 2 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  22. 22.Vivaan’s mother is three times as old as Vivaan. Their ages add up to 40 years. How old is Vivaan?
  23. 23.Solve: 4(m + 2) = 60. What is m?
  24. 24.Solve: 4(y + 9) = 52. What is y?
  25. 25.Solve: 7y + 8 = 71. What is y?
  26. 26.Solve: 2m + 5 = 29. What is m?
  27. 27.Aditya thinks of a number, multiplies it by 8 and then adds 2. The result is 10. What is the number?
  28. 28.Solve: 6(x + 6) = 42. What is x?
  29. 29.Solve: 2t − 5 = 1. What is t?
  30. 30.Solve: n/3 + 19 = 22. What is n?
  31. 31.Arjun thinks of a number, multiplies it by 6 and then adds 5. The result is 53. What is the number?
  32. 32.Solve: x/3 + 10 = 17. What is x?
  33. 33.Solve: 3t + 26 = 65. What is t?
  34. 34.Solve: 4x + 30 = 38. What is x?
  35. 35.Solve: 3m − 21 = 18. What is m?
  36. 36.Solve: 6m + 23 = 41. What is m?
  37. 37.Solve: 6(m + 2) = 36. What is m?
  38. 38.Solve: t/7 + 18 = 31. What is t?
  39. 39.Solve: 5m − 19 = 21. What is m?
  40. 40.Lakshmi thinks of a number, multiplies it by 9 and then adds 1. The result is 127. What is the number?

Answer key

  1. 2
  2. 15
  3. 4
  4. 14
  5. 15
  6. 9
  7. 9
  8. 1
  9. 4
  10. 75
  11. 3
  12. 5
  13. 4
  14. 3
  15. 4
  16. 13
  17. 7
  18. 12
  19. 7
  20. 1
  21. 9
  22. 10
  23. 13
  24. 4
  25. 9
  26. 12
  27. 1
  28. 1
  29. 3
  30. 9
  31. 8
  32. 21
  33. 13
  34. 2
  35. 13
  36. 3
  37. 4
  38. 91
  39. 8
  40. 14

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