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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 722 · 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.Lakshmi thinks of a number, multiplies it by 7 and then adds 6. The result is 69. What is the number?
  2. 2.Solve: 5t − 9 = 1. What is t?
  3. 3.Solve: 3y − 7 = 11. What is y?
  4. 4.Solve: 9y + 2 = 20. What is y?
  5. 5.Solve: 3n + 15 = 18. What is n?
  6. 6.Solve: t/9 + 15 = 27. What is t?
  7. 7.Solve: 3x + 8 = 38. What is x?
  8. 8.Solve: 9(x + 5) = 153. What is x?
  9. 9.Solve: 8(y + 3) = 88. What is y?
  10. 10.Solve: 7n + 17 = 31. What is n?
  11. 11.Solve: 9(m + 1) = 90. What is m?
  12. 12.Solve: 4y + 17 = 65. What is y?
  13. 13.Aditya thinks of a number, multiplies it by 8 and then adds 25. The result is 41. What is the number?
  14. 14.Ishaan thinks of a number, multiplies it by 9 and then adds 20. The result is 146. What is the number?
  15. 15.Solve: x/5 + 7 = 9. What is x?
  16. 16.Saanvi thinks of a number, multiplies it by 4 and then adds 25. The result is 37. What is the number?
  17. 17.Solve: 4n + 23 = 35. What is n?
  18. 18.Solve: 9(y + 2) = 81. What is y?
  19. 19.Solve: 2y + 4 = 14. What is y?
  20. 20.Meera thinks of a number, multiplies it by 2 and then adds 2. The result is 26. What is the number?
  21. 21.Riya is 8 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  22. 22.Solve: 4x + 13 = 33. What is x?
  23. 23.Solve: p/8 + 12 = 24. What is p?
  24. 24.Solve: 4x + 12 = 24. What is x?
  25. 25.Solve: 6p − 27 = 57. What is p?
  26. 26.Rohan thinks of a number, multiplies it by 3 and then adds 5. The result is 17. What is the number?
  27. 27.Solve: 2p + 16 = 20. What is p?
  28. 28.Solve: y/6 + 15 = 18. What is y?
  29. 29.Solve: 2(n + 8) = 46. What is n?
  30. 30.Isha’s mother is twice as old as Isha. Their ages add up to 36 years. How old is Isha?
  31. 31.Solve: 8m + 15 = 119. What is m?
  32. 32.Solve: 9(x + 9) = 207. What is x?
  33. 33.Solve: 8y − 37 = 3. What is y?
  34. 34.Rohan thinks of a number, multiplies it by 2 and then adds 20. The result is 26. What is the number?
  35. 35.Riya is 4 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  36. 36.Solve: 8(x + 6) = 56. What is x?
  37. 37.Solve: 7y + 14 = 98. What is y?
  38. 38.Solve: 8(m + 4) = 72. What is m?
  39. 39.Solve: 3p + 8 = 44. What is p?
  40. 40.Gurpreet thinks of a number, multiplies it by 6 and then adds 22. The result is 112. What is the number?

Answer key

  1. 9
  2. 2
  3. 6
  4. 2
  5. 1
  6. 108
  7. 10
  8. 12
  9. 8
  10. 2
  11. 9
  12. 12
  13. 2
  14. 14
  15. 10
  16. 3
  17. 3
  18. 7
  19. 5
  20. 12
  21. 4
  22. 5
  23. 96
  24. 3
  25. 14
  26. 4
  27. 2
  28. 18
  29. 15
  30. 12
  31. 13
  32. 14
  33. 5
  34. 3
  35. 5
  36. 1
  37. 12
  38. 5
  39. 12
  40. 15

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