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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 691 · 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.Pooja is 8 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  2. 2.Aditya is 8 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  3. 3.Solve: 6t − 5 = 1. What is t?
  4. 4.Aditya’s mother is four times as old as Aditya. Their ages add up to 20 years. How old is Aditya?
  5. 5.Solve: 8(n + 4) = 152. What is n?
  6. 6.Solve: 4y + 7 = 63. What is y?
  7. 7.Solve: p/8 + 4 = 14. What is p?
  8. 8.Solve: 9m + 20 = 56. What is m?
  9. 9.Solve: 3y + 26 = 32. What is y?
  10. 10.Rohan is 5 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  11. 11.Solve: 4m + 29 = 85. What is m?
  12. 12.Solve: 9(t + 2) = 108. What is t?
  13. 13.Riya thinks of a number, multiplies it by 3 and then adds 1. The result is 4. What is the number?
  14. 14.Solve: 9(y + 2) = 117. What is y?
  15. 15.Solve: 7n − 12 = 51. What is n?
  16. 16.Solve: 2x + 13 = 29. What is x?
  17. 17.Pooja thinks of a number, multiplies it by 6 and then adds 19. The result is 85. What is the number?
  18. 18.Meera thinks of a number, multiplies it by 9 and then adds 1. The result is 37. What is the number?
  19. 19.Gurpreet thinks of a number, multiplies it by 9 and then adds 27. The result is 45. What is the number?
  20. 20.Solve: 2(x + 9) = 36. What is x?
  21. 21.Riya thinks of a number, multiplies it by 8 and then adds 1. The result is 97. What is the number?
  22. 22.Solve: 9t − 95 = 4. What is t?
  23. 23.Riya is 2 years older than a cousin. Their ages add up to 10 years. How old is the cousin?
  24. 24.Solve: 3t − 11 = 22. What is t?
  25. 25.Solve: 2t − 4 = 8. What is t?
  26. 26.Solve: 2y + 10 = 16. What is y?
  27. 27.Ananya thinks of a number, multiplies it by 4 and then adds 3. The result is 31. What is the number?
  28. 28.Solve: 4y − 4 = 16. What is y?
  29. 29.Solve: 6t + 6 = 48. What is t?
  30. 30.Solve: 3t − 22 = 17. What is t?
  31. 31.Solve: 4y − 16 = 24. What is y?
  32. 32.Gurpreet thinks of a number, multiplies it by 8 and then adds 7. The result is 23. What is the number?
  33. 33.Solve: 2n + 4 = 24. What is n?
  34. 34.Meera’s mother is four times as old as Meera. Their ages add up to 60 years. How old is Meera?
  35. 35.Joseph is 2 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  36. 36.Solve: 9(p + 3) = 36. What is p?
  37. 37.Solve: 7t + 8 = 113. What is t?
  38. 38.Solve: 2y − 3 = 11. What is y?
  39. 39.Solve: 5t − 3 = 2. What is t?
  40. 40.Solve: 3t + 16 = 55. What is t?

Answer key

  1. 6
  2. 11
  3. 1
  4. 4
  5. 15
  6. 14
  7. 80
  8. 4
  9. 2
  10. 10
  11. 14
  12. 10
  13. 1
  14. 11
  15. 9
  16. 8
  17. 11
  18. 4
  19. 2
  20. 9
  21. 12
  22. 11
  23. 4
  24. 11
  25. 6
  26. 3
  27. 7
  28. 5
  29. 7
  30. 13
  31. 10
  32. 2
  33. 10
  34. 12
  35. 14
  36. 1
  37. 15
  38. 7
  39. 1
  40. 13

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