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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 394 · 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: 5y + 28 = 53. What is y?
  2. 2.Solve: 5x − 23 = 2. What is x?
  3. 3.Ananya’s mother is four times as old as Ananya. Their ages add up to 30 years. How old is Ananya?
  4. 4.Solve: y/8 + 20 = 35. What is y?
  5. 5.Solve: 8n − 37 = 27. What is n?
  6. 6.Solve: 9(p + 6) = 126. What is p?
  7. 7.Diya is 3 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  8. 8.Solve: 8t + 9 = 49. What is t?
  9. 9.Joseph’s mother is twice as old as Joseph. Their ages add up to 18 years. How old is Joseph?
  10. 10.Solve: 3(n + 2) = 9. What is n?
  11. 11.Solve: 9y − 55 = 71. What is y?
  12. 12.Solve: x/8 + 12 = 23. What is x?
  13. 13.Aditya is 3 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  14. 14.Solve: 5y − 31 = 44. What is y?
  15. 15.Riya is 1 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  16. 16.Solve: p/9 + 17 = 31. What is p?
  17. 17.Solve: 3(n + 1) = 33. What is n?
  18. 18.Solve: 3t + 26 = 44. What is t?
  19. 19.Rahul thinks of a number, multiplies it by 5 and then adds 18. The result is 23. What is the number?
  20. 20.Solve: 3m − 11 = 4. What is m?
  21. 21.Solve: n/6 + 17 = 28. What is n?
  22. 22.Solve: x/6 + 4 = 9. What is x?
  23. 23.Solve: 9y − 41 = 13. What is y?
  24. 24.Dev thinks of a number, multiplies it by 3 and then adds 30. The result is 51. What is the number?
  25. 25.Solve: 5m − 23 = 27. What is m?
  26. 26.Karan’s mother is twice as old as Karan. Their ages add up to 30 years. How old is Karan?
  27. 27.Solve: 3n + 10 = 49. What is n?
  28. 28.Solve: 4(x + 6) = 76. What is x?
  29. 29.Solve: 4t + 1 = 57. What is t?
  30. 30.Ananya thinks of a number, multiplies it by 5 and then adds 15. The result is 35. What is the number?
  31. 31.Solve: 5t − 2 = 3. What is t?
  32. 32.Solve: 7x + 6 = 83. What is x?
  33. 33.Sneha is 1 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  34. 34.Solve: 5(n + 4) = 85. What is n?
  35. 35.Meera thinks of a number, multiplies it by 7 and then adds 12. The result is 19. What is the number?
  36. 36.Solve: 8x + 1 = 9. What is x?
  37. 37.Solve: 8y − 29 = 19. What is y?
  38. 38.Gurpreet is 8 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  39. 39.Solve: 8(x + 3) = 96. What is x?
  40. 40.Solve: 8(x + 6) = 72. What is x?

Answer key

  1. 5
  2. 5
  3. 6
  4. 120
  5. 8
  6. 8
  7. 5
  8. 5
  9. 6
  10. 1
  11. 14
  12. 88
  13. 5
  14. 15
  15. 7
  16. 126
  17. 10
  18. 6
  19. 1
  20. 5
  21. 66
  22. 30
  23. 6
  24. 7
  25. 10
  26. 10
  27. 13
  28. 13
  29. 14
  30. 4
  31. 1
  32. 11
  33. 12
  34. 13
  35. 1
  36. 1
  37. 6
  38. 6
  39. 9
  40. 3

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