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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 760 · 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: n/3 + 1 = 8. What is n?
  2. 2.Solve: 8y − 6 = 18. What is y?
  3. 3.Solve: t/2 + 8 = 13. What is t?
  4. 4.Solve: 3x − 10 = 8. What is x?
  5. 5.Meera thinks of a number, multiplies it by 2 and then adds 28. The result is 48. What is the number?
  6. 6.Ananya is 4 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  7. 7.Sneha’s mother is four times as old as Sneha. Their ages add up to 55 years. How old is Sneha?
  8. 8.Solve: 9y + 19 = 64. What is y?
  9. 9.Solve: 4n + 23 = 67. What is n?
  10. 10.Pooja is 8 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  11. 11.Solve: y/5 + 20 = 35. What is y?
  12. 12.Farhan is 2 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  13. 13.Ishaan thinks of a number, multiplies it by 2 and then adds 12. The result is 28. What is the number?
  14. 14.Solve: 3y + 12 = 18. What is y?
  15. 15.Meera is 4 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  16. 16.Solve: p/8 + 19 = 31. What is p?
  17. 17.Karan is 4 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  18. 18.Solve: 3m − 5 = 34. What is m?
  19. 19.Solve: p/8 + 18 = 25. What is p?
  20. 20.Solve: 2y + 1 = 19. What is y?
  21. 21.Solve: 7x + 24 = 31. What is x?
  22. 22.Solve: 3t + 25 = 58. What is t?
  23. 23.Priya thinks of a number, multiplies it by 4 and then adds 18. The result is 50. What is the number?
  24. 24.Solve: 8n + 1 = 17. What is n?
  25. 25.Rohan’s mother is three times as old as Rohan. Their ages add up to 60 years. How old is Rohan?
  26. 26.Solve: 8x − 1 = 15. What is x?
  27. 27.Solve: 9x + 15 = 24. What is x?
  28. 28.Solve: 8x + 16 = 72. What is x?
  29. 29.Diya thinks of a number, multiplies it by 2 and then adds 4. The result is 20. What is the number?
  30. 30.Solve: y/9 + 11 = 14. What is y?
  31. 31.Meera is 4 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  32. 32.Solve: n/3 + 10 = 14. What is n?
  33. 33.Solve: 9y − 39 = 24. What is y?
  34. 34.Solve: 3y − 4 = 20. What is y?
  35. 35.Solve: 5x − 12 = 13. What is x?
  36. 36.Solve: 7x − 25 = 17. What is x?
  37. 37.Ananya’s mother is three times as old as Ananya. Their ages add up to 16 years. How old is Ananya?
  38. 38.Solve: 5n − 24 = 41. What is n?
  39. 39.Solve: 2y + 25 = 41. What is y?
  40. 40.Solve: 7t + 26 = 61. What is t?

Answer key

  1. 21
  2. 3
  3. 10
  4. 6
  5. 10
  6. 10
  7. 11
  8. 5
  9. 11
  10. 5
  11. 75
  12. 11
  13. 8
  14. 2
  15. 9
  16. 96
  17. 7
  18. 13
  19. 56
  20. 9
  21. 1
  22. 11
  23. 8
  24. 2
  25. 15
  26. 2
  27. 1
  28. 7
  29. 8
  30. 27
  31. 13
  32. 12
  33. 7
  34. 8
  35. 5
  36. 6
  37. 4
  38. 13
  39. 8
  40. 5

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