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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 611 · 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: 9(n + 4) = 162. What is n?
  2. 2.Solve: 4m + 8 = 64. What is m?
  3. 3.Gurpreet’s mother is three times as old as Gurpreet. Their ages add up to 60 years. How old is Gurpreet?
  4. 4.Solve: 3y + 4 = 49. What is y?
  5. 5.Solve: 3(n + 6) = 63. What is n?
  6. 6.Solve: 2y − 1 = 23. What is y?
  7. 7.Solve: 2t − 1 = 3. What is t?
  8. 8.Solve: 7x + 22 = 43. What is x?
  9. 9.Solve: 3(t + 4) = 33. What is t?
  10. 10.Solve: 2x + 24 = 34. What is x?
  11. 11.Kabir is 1 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  12. 12.Solve: 3x + 25 = 61. What is x?
  13. 13.Kabir thinks of a number, multiplies it by 6 and then adds 16. The result is 34. What is the number?
  14. 14.Lakshmi is 3 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  15. 15.Solve: 5x + 14 = 69. What is x?
  16. 16.Nisha thinks of a number, multiplies it by 2 and then adds 18. The result is 36. What is the number?
  17. 17.Solve: 2(n + 3) = 24. What is n?
  18. 18.Arjun is 5 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  19. 19.Isha is 3 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  20. 20.Manav is 1 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  21. 21.Solve: 3y + 29 = 56. What is y?
  22. 22.Joseph’s mother is twice as old as Joseph. Their ages add up to 39 years. How old is Joseph?
  23. 23.Kavya thinks of a number, multiplies it by 5 and then adds 18. The result is 28. What is the number?
  24. 24.Solve: 5p + 1 = 6. What is p?
  25. 25.Aditya thinks of a number, multiplies it by 5 and then adds 23. The result is 63. What is the number?
  26. 26.Solve: 6p + 18 = 102. What is p?
  27. 27.Farhan’s mother is three times as old as Farhan. Their ages add up to 60 years. How old is Farhan?
  28. 28.Solve: 5(y + 8) = 105. What is y?
  29. 29.Nisha thinks of a number, multiplies it by 3 and then adds 27. The result is 36. What is the number?
  30. 30.Riya thinks of a number, multiplies it by 3 and then adds 6. The result is 27. What is the number?
  31. 31.Solve: 4m + 16 = 24. What is m?
  32. 32.Vivaan thinks of a number, multiplies it by 6 and then adds 16. The result is 22. What is the number?
  33. 33.Solve: 6m − 10 = 62. What is m?
  34. 34.Meera thinks of a number, multiplies it by 5 and then adds 9. The result is 49. What is the number?
  35. 35.Solve: 6x + 29 = 107. What is x?
  36. 36.Solve: 5(y + 2) = 20. What is y?
  37. 37.Solve: 3m + 29 = 50. What is m?
  38. 38.Kavya’s mother is four times as old as Kavya. Their ages add up to 65 years. How old is Kavya?
  39. 39.Solve: 5(n + 2) = 65. What is n?
  40. 40.Solve: 8t + 27 = 115. What is t?

Answer key

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

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