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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 690 · 40 sums
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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: 3n + 11 = 47. What is n?
  2. 2.Ananya’s mother is three times as old as Ananya. Their ages add up to 48 years. How old is Ananya?
  3. 3.Solve: 7(t + 1) = 112. What is t?
  4. 4.Solve: 5m − 48 = 17. What is m?
  5. 5.Aditya thinks of a number, multiplies it by 2 and then adds 2. The result is 8. What is the number?
  6. 6.Zoya is 5 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  7. 7.Rahul’s mother is twice as old as Rahul. Their ages add up to 42 years. How old is Rahul?
  8. 8.Solve: 5x + 2 = 52. What is x?
  9. 9.Dev is 3 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  10. 10.Riya is 7 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  11. 11.Solve: 2(p + 5) = 14. What is p?
  12. 12.Solve: 8(x + 9) = 104. What is x?
  13. 13.Priya thinks of a number, multiplies it by 3 and then adds 27. The result is 33. What is the number?
  14. 14.Isha’s mother is four times as old as Isha. Their ages add up to 55 years. How old is Isha?
  15. 15.Solve: 7m + 19 = 96. What is m?
  16. 16.Solve: 8n + 2 = 34. What is n?
  17. 17.Solve: 8n + 17 = 105. What is n?
  18. 18.Solve: 2(y + 3) = 36. What is y?
  19. 19.Solve: y/2 + 16 = 29. What is y?
  20. 20.Solve: p/6 + 2 = 13. What is p?
  21. 21.Solve: m/3 + 13 = 17. What is m?
  22. 22.Solve: 7p − 11 = 59. What is p?
  23. 23.Ananya thinks of a number, multiplies it by 8 and then adds 7. The result is 63. What is the number?
  24. 24.Solve: y/9 + 12 = 16. What is y?
  25. 25.Solve: 5t − 6 = 59. What is t?
  26. 26.Solve: p/2 + 14 = 24. What is p?
  27. 27.Solve: 4m + 3 = 47. What is m?
  28. 28.Sneha thinks of a number, multiplies it by 4 and then adds 12. The result is 60. What is the number?
  29. 29.Solve: p/3 + 16 = 27. What is p?
  30. 30.Solve: 6x + 4 = 88. What is x?
  31. 31.Solve: 2n − 3 = 1. What is n?
  32. 32.Ananya is 1 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  33. 33.Solve: 9n + 16 = 97. What is n?
  34. 34.Solve: n/5 + 15 = 17. What is n?
  35. 35.Solve: 9t − 32 = 76. What is t?
  36. 36.Aarav is 4 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  37. 37.Solve: 3(x + 3) = 45. What is x?
  38. 38.Manav thinks of a number, multiplies it by 6 and then adds 9. The result is 57. What is the number?
  39. 39.Joseph thinks of a number, multiplies it by 9 and then adds 28. The result is 55. What is the number?
  40. 40.Solve: 2n − 11 = 1. What is n?

Answer key

  1. 12
  2. 12
  3. 15
  4. 13
  5. 3
  6. 8
  7. 14
  8. 10
  9. 11
  10. 4
  11. 2
  12. 4
  13. 2
  14. 11
  15. 11
  16. 4
  17. 11
  18. 15
  19. 26
  20. 66
  21. 12
  22. 10
  23. 7
  24. 36
  25. 13
  26. 20
  27. 11
  28. 12
  29. 33
  30. 14
  31. 2
  32. 6
  33. 9
  34. 10
  35. 12
  36. 9
  37. 12
  38. 8
  39. 3
  40. 6

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