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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 175 · 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: 6x + 19 = 55. What is x?
  2. 2.Solve: 6(p + 5) = 114. What is p?
  3. 3.Solve: p/6 + 3 = 7. What is p?
  4. 4.Arjun thinks of a number, multiplies it by 3 and then adds 26. The result is 32. What is the number?
  5. 5.Solve: n/7 + 2 = 9. What is n?
  6. 6.Solve: 4y − 2 = 30. What is y?
  7. 7.Solve: 4t + 11 = 71. What is t?
  8. 8.Meera thinks of a number, multiplies it by 8 and then adds 15. The result is 71. What is the number?
  9. 9.Pooja thinks of a number, multiplies it by 8 and then adds 3. The result is 59. What is the number?
  10. 10.Solve: t/6 + 7 = 14. What is t?
  11. 11.Tara is 4 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  12. 12.Farhan’s mother is twice as old as Farhan. Their ages add up to 30 years. How old is Farhan?
  13. 13.Arjun thinks of a number, multiplies it by 6 and then adds 11. The result is 29. What is the number?
  14. 14.Solve: 7x − 4 = 10. What is x?
  15. 15.Solve: 9n + 10 = 55. What is n?
  16. 16.Solve: y/7 + 18 = 21. What is y?
  17. 17.Joseph’s mother is three times as old as Joseph. Their ages add up to 28 years. How old is Joseph?
  18. 18.Solve: 4n + 25 = 57. What is n?
  19. 19.Dev’s mother is three times as old as Dev. Their ages add up to 28 years. How old is Dev?
  20. 20.Solve: 8x + 25 = 81. What is x?
  21. 21.Solve: 3t − 1 = 17. What is t?
  22. 22.Nisha’s mother is four times as old as Nisha. Their ages add up to 55 years. How old is Nisha?
  23. 23.Solve: 6(n + 1) = 66. What is n?
  24. 24.Solve: p/8 + 7 = 22. What is p?
  25. 25.Solve: 2t − 18 = 12. What is t?
  26. 26.Solve: 8t − 14 = 26. What is t?
  27. 27.Solve: 9m + 20 = 56. What is m?
  28. 28.Nisha’s mother is four times as old as Nisha. Their ages add up to 30 years. How old is Nisha?
  29. 29.Solve: 5(m + 2) = 20. What is m?
  30. 30.Solve: m/5 + 6 = 9. What is m?
  31. 31.Solve: 7m − 7 = 28. What is m?
  32. 32.Solve: y/6 + 12 = 15. What is y?
  33. 33.Solve: 2m − 1 = 3. What is m?
  34. 34.Zoya’s mother is four times as old as Zoya. Their ages add up to 25 years. How old is Zoya?
  35. 35.Tara is 2 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  36. 36.Rohan’s mother is three times as old as Rohan. Their ages add up to 40 years. How old is Rohan?
  37. 37.Rahul thinks of a number, multiplies it by 2 and then adds 19. The result is 45. What is the number?
  38. 38.Isha’s mother is four times as old as Isha. Their ages add up to 35 years. How old is Isha?
  39. 39.Aditya thinks of a number, multiplies it by 3 and then adds 14. The result is 20. What is the number?
  40. 40.Aarav thinks of a number, multiplies it by 7 and then adds 6. The result is 76. What is the number?

Answer key

  1. 6
  2. 14
  3. 24
  4. 2
  5. 49
  6. 8
  7. 15
  8. 7
  9. 7
  10. 42
  11. 14
  12. 10
  13. 3
  14. 2
  15. 5
  16. 21
  17. 7
  18. 8
  19. 7
  20. 7
  21. 6
  22. 11
  23. 10
  24. 120
  25. 15
  26. 5
  27. 4
  28. 6
  29. 2
  30. 15
  31. 5
  32. 18
  33. 2
  34. 5
  35. 10
  36. 10
  37. 13
  38. 7
  39. 2
  40. 10

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