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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 427 · 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: 5t − 3 = 7. What is t?
  2. 2.Solve: 8y − 49 = 31. What is y?
  3. 3.Kabir’s mother is twice as old as Kabir. Their ages add up to 18 years. How old is Kabir?
  4. 4.Solve: 5t + 4 = 74. What is t?
  5. 5.Solve: 6y − 44 = 4. What is y?
  6. 6.Solve: 4x + 14 = 26. What is x?
  7. 7.Solve: n/3 + 13 = 17. What is n?
  8. 8.Solve: n/3 + 11 = 23. What is n?
  9. 9.Isha thinks of a number, multiplies it by 8 and then adds 8. The result is 80. What is the number?
  10. 10.Sneha is 7 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  11. 11.Solve: 4(n + 3) = 60. What is n?
  12. 12.Solve: 8y + 16 = 120. What is y?
  13. 13.Solve: 6(m + 1) = 36. What is m?
  14. 14.Manav is 5 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  15. 15.Solve: 6p + 17 = 29. What is p?
  16. 16.Solve: 2x + 25 = 37. What is x?
  17. 17.Farhan thinks of a number, multiplies it by 5 and then adds 1. The result is 61. What is the number?
  18. 18.Solve: 3(p + 7) = 60. What is p?
  19. 19.Solve: 3t − 1 = 26. What is t?
  20. 20.Solve: 5t − 24 = 46. What is t?
  21. 21.Solve: 2p − 2 = 14. What is p?
  22. 22.Solve: 3n − 1 = 5. What is n?
  23. 23.Solve: t/4 + 8 = 19. What is t?
  24. 24.Solve: 3(p + 1) = 24. What is p?
  25. 25.Solve: 6p + 21 = 99. What is p?
  26. 26.Rohan’s mother is four times as old as Rohan. Their ages add up to 60 years. How old is Rohan?
  27. 27.Manav thinks of a number, multiplies it by 5 and then adds 13. The result is 18. What is the number?
  28. 28.Solve: 9y − 8 = 100. What is y?
  29. 29.Solve: 4t − 1 = 15. What is t?
  30. 30.Solve: x/5 + 2 = 9. What is x?
  31. 31.Solve: 8(p + 7) = 120. What is p?
  32. 32.Solve: 9t − 102 = 6. What is t?
  33. 33.Solve: 7t + 22 = 120. What is t?
  34. 34.Kabir’s mother is four times as old as Kabir. Their ages add up to 30 years. How old is Kabir?
  35. 35.Solve: 2x + 6 = 22. What is x?
  36. 36.Solve: 3x + 6 = 51. What is x?
  37. 37.Solve: 3n + 27 = 33. What is n?
  38. 38.Rahul thinks of a number, multiplies it by 8 and then adds 19. The result is 67. What is the number?
  39. 39.Solve: 7n − 5 = 16. What is n?
  40. 40.Solve: 9(x + 6) = 126. What is x?

Answer key

  1. 2
  2. 10
  3. 6
  4. 14
  5. 8
  6. 3
  7. 12
  8. 36
  9. 9
  10. 8
  11. 12
  12. 13
  13. 5
  14. 4
  15. 2
  16. 6
  17. 12
  18. 13
  19. 9
  20. 14
  21. 8
  22. 2
  23. 44
  24. 7
  25. 13
  26. 12
  27. 1
  28. 12
  29. 4
  30. 35
  31. 8
  32. 12
  33. 14
  34. 6
  35. 8
  36. 15
  37. 2
  38. 6
  39. 3
  40. 8

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