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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 582 · 40 sums
TalentJR

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.Joseph thinks of a number, multiplies it by 4 and then adds 5. The result is 25. What is the number?
  2. 2.Solve: 4y − 6 = 2. What is y?
  3. 3.Dev is 8 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  4. 4.Solve: 3t + 1 = 31. What is t?
  5. 5.Solve: 9m + 17 = 125. What is m?
  6. 6.Solve: 2t − 5 = 3. What is t?
  7. 7.Solve: 2p + 13 = 35. What is p?
  8. 8.Solve: 3t − 1 = 11. What is t?
  9. 9.Farhan thinks of a number, multiplies it by 6 and then adds 27. The result is 69. What is the number?
  10. 10.Solve: 2(x + 8) = 26. What is x?
  11. 11.Solve: 8y − 7 = 1. What is y?
  12. 12.Solve: 9t + 6 = 60. What is t?
  13. 13.Solve: 8y − 4 = 44. What is y?
  14. 14.Solve: 4y + 25 = 29. What is y?
  15. 15.Solve: 9x − 54 = 54. What is x?
  16. 16.Kavya thinks of a number, multiplies it by 5 and then adds 12. The result is 77. What is the number?
  17. 17.Solve: 3y + 13 = 43. What is y?
  18. 18.Gurpreet’s mother is twice as old as Gurpreet. Their ages add up to 36 years. How old is Gurpreet?
  19. 19.Solve: 5n + 24 = 94. What is n?
  20. 20.Solve: 8(n + 4) = 48. What is n?
  21. 21.Solve: 2(x + 4) = 24. What is x?
  22. 22.Solve: 5(m + 3) = 85. What is m?
  23. 23.Solve: 4x − 22 = 10. What is x?
  24. 24.Solve: 7t − 9 = 5. What is t?
  25. 25.Sneha is 3 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  26. 26.Solve: 5m − 4 = 6. What is m?
  27. 27.Aditya’s mother is twice as old as Aditya. Their ages add up to 45 years. How old is Aditya?
  28. 28.Solve: 2n + 21 = 51. What is n?
  29. 29.Solve: x/8 + 5 = 10. What is x?
  30. 30.Solve: 6n + 19 = 37. What is n?
  31. 31.Solve: 2n + 7 = 23. What is n?
  32. 32.Solve: 6n + 13 = 25. What is n?
  33. 33.Solve: 8p + 29 = 125. What is p?
  34. 34.Solve: y/8 + 2 = 9. What is y?
  35. 35.Solve: 3p + 27 = 45. What is p?
  36. 36.Solve: 2p + 22 = 28. What is p?
  37. 37.Solve: y/8 + 1 = 12. What is y?
  38. 38.Ananya thinks of a number, multiplies it by 4 and then adds 22. The result is 30. What is the number?
  39. 39.Ananya is 3 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  40. 40.Solve: 2x + 28 = 54. What is x?

Answer key

  1. 5
  2. 2
  3. 5
  4. 10
  5. 12
  6. 4
  7. 11
  8. 4
  9. 7
  10. 5
  11. 1
  12. 6
  13. 6
  14. 1
  15. 12
  16. 13
  17. 10
  18. 12
  19. 14
  20. 2
  21. 8
  22. 14
  23. 8
  24. 2
  25. 5
  26. 2
  27. 15
  28. 15
  29. 40
  30. 3
  31. 8
  32. 2
  33. 12
  34. 56
  35. 6
  36. 3
  37. 88
  38. 2
  39. 9
  40. 13

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