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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 508 · 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: y/6 + 17 = 29. What is y?
  2. 2.Solve: x/6 + 1 = 13. What is x?
  3. 3.Ananya thinks of a number, multiplies it by 3 and then adds 2. The result is 32. What is the number?
  4. 4.Solve: 2n − 6 = 24. What is n?
  5. 5.Solve: 3x − 9 = 15. What is x?
  6. 6.Nisha’s mother is four times as old as Nisha. Their ages add up to 55 years. How old is Nisha?
  7. 7.Solve: t/6 + 5 = 11. What is t?
  8. 8.Solve: 8m + 19 = 123. What is m?
  9. 9.Rahul thinks of a number, multiplies it by 2 and then adds 25. The result is 39. What is the number?
  10. 10.Aditya thinks of a number, multiplies it by 4 and then adds 4. The result is 28. What is the number?
  11. 11.Tara thinks of a number, multiplies it by 8 and then adds 15. The result is 55. What is the number?
  12. 12.Solve: 8(x + 3) = 48. What is x?
  13. 13.Karan thinks of a number, multiplies it by 5 and then adds 19. The result is 94. What is the number?
  14. 14.Isha thinks of a number, multiplies it by 5 and then adds 18. The result is 33. What is the number?
  15. 15.Isha’s mother is twice as old as Isha. Their ages add up to 21 years. How old is Isha?
  16. 16.Solve: 4x − 8 = 8. What is x?
  17. 17.Pooja’s mother is twice as old as Pooja. Their ages add up to 30 years. How old is Pooja?
  18. 18.Isha thinks of a number, multiplies it by 8 and then adds 11. The result is 19. What is the number?
  19. 19.Nisha thinks of a number, multiplies it by 3 and then adds 4. The result is 7. What is the number?
  20. 20.Solve: x/5 + 1 = 8. What is x?
  21. 21.Solve: 5y + 9 = 64. What is y?
  22. 22.Aarav is 6 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  23. 23.Solve: x/9 + 17 = 24. What is x?
  24. 24.Farhan is 5 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  25. 25.Solve: 9(x + 6) = 117. What is x?
  26. 26.Solve: 3n + 8 = 44. What is n?
  27. 27.Solve: 5m − 13 = 62. What is m?
  28. 28.Solve: 4n + 4 = 52. What is n?
  29. 29.Solve: 8m + 22 = 46. What is m?
  30. 30.Solve: 2(y + 4) = 24. What is y?
  31. 31.Solve: 3t + 9 = 39. What is t?
  32. 32.Solve: 4t + 22 = 66. What is t?
  33. 33.Vivaan is 6 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  34. 34.Solve: t/8 + 10 = 21. What is t?
  35. 35.Solve: 6(t + 1) = 36. What is t?
  36. 36.Solve: 7x − 34 = 43. What is x?
  37. 37.Solve: 5(y + 1) = 70. What is y?
  38. 38.Solve: 7y + 14 = 63. What is y?
  39. 39.Solve: 6x − 19 = 11. What is x?
  40. 40.Priya is 2 years older than a cousin. Their ages add up to 32 years. How old is the cousin?

Answer key

  1. 72
  2. 72
  3. 10
  4. 15
  5. 8
  6. 11
  7. 36
  8. 13
  9. 7
  10. 6
  11. 5
  12. 3
  13. 15
  14. 3
  15. 7
  16. 4
  17. 10
  18. 1
  19. 1
  20. 35
  21. 11
  22. 4
  23. 63
  24. 12
  25. 7
  26. 12
  27. 15
  28. 12
  29. 3
  30. 8
  31. 10
  32. 11
  33. 12
  34. 88
  35. 5
  36. 11
  37. 13
  38. 7
  39. 5
  40. 15

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