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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 419 · 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: 3m − 11 = 1. What is m?
  2. 2.Rahul’s mother is three times as old as Rahul. Their ages add up to 24 years. How old is Rahul?
  3. 3.Solve: 5x − 34 = 1. What is x?
  4. 4.Vivaan thinks of a number, multiplies it by 3 and then adds 30. The result is 54. What is the number?
  5. 5.Rahul is 4 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  6. 6.Solve: 2t − 16 = 2. What is t?
  7. 7.Solve: 7y − 77 = 7. What is y?
  8. 8.Solve: 3y + 26 = 62. What is y?
  9. 9.Solve: 4y − 16 = 8. What is y?
  10. 10.Solve: 6n − 43 = 5. What is n?
  11. 11.Nisha thinks of a number, multiplies it by 7 and then adds 22. The result is 71. What is the number?
  12. 12.Manav is 3 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  13. 13.Solve: 8t + 18 = 66. What is t?
  14. 14.Solve: t/4 + 11 = 17. What is t?
  15. 15.Karan thinks of a number, multiplies it by 2 and then adds 28. The result is 42. What is the number?
  16. 16.Gurpreet’s mother is twice as old as Gurpreet. Their ages add up to 39 years. How old is Gurpreet?
  17. 17.Solve: 9m + 1 = 19. What is m?
  18. 18.Sneha thinks of a number, multiplies it by 5 and then adds 27. The result is 37. What is the number?
  19. 19.Solve: m/2 + 3 = 18. What is m?
  20. 20.Solve: 7y − 65 = 40. What is y?
  21. 21.Solve: 7(x + 2) = 84. What is x?
  22. 22.Solve: 5p − 13 = 32. What is p?
  23. 23.Ananya is 5 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  24. 24.Solve: 4y + 21 = 25. What is y?
  25. 25.Nisha’s mother is twice as old as Nisha. Their ages add up to 42 years. How old is Nisha?
  26. 26.Solve: 3n + 8 = 32. What is n?
  27. 27.Ananya thinks of a number, multiplies it by 2 and then adds 28. The result is 32. What is the number?
  28. 28.Solve: 9(n + 5) = 153. What is n?
  29. 29.Solve: m/7 + 1 = 16. What is m?
  30. 30.Solve: t/4 + 3 = 18. What is t?
  31. 31.Diya thinks of a number, multiplies it by 6 and then adds 18. The result is 48. What is the number?
  32. 32.Solve: 6(y + 8) = 54. What is y?
  33. 33.Solve: x/8 + 4 = 13. What is x?
  34. 34.Solve: 4(t + 7) = 60. What is t?
  35. 35.Aarav thinks of a number, multiplies it by 5 and then adds 25. The result is 55. What is the number?
  36. 36.Solve: x/9 + 17 = 29. What is x?
  37. 37.Kabir is 3 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  38. 38.Diya is 2 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  39. 39.Solve: 3y + 24 = 27. What is y?
  40. 40.Ishaan is 6 years older than a cousin. Their ages add up to 26 years. How old is the cousin?

Answer key

  1. 4
  2. 6
  3. 7
  4. 8
  5. 7
  6. 9
  7. 12
  8. 12
  9. 6
  10. 8
  11. 7
  12. 11
  13. 6
  14. 24
  15. 7
  16. 13
  17. 2
  18. 2
  19. 30
  20. 15
  21. 10
  22. 9
  23. 5
  24. 1
  25. 14
  26. 8
  27. 2
  28. 12
  29. 105
  30. 60
  31. 5
  32. 1
  33. 72
  34. 8
  35. 6
  36. 108
  37. 8
  38. 11
  39. 1
  40. 10

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