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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 192 · 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: 9m − 9 = 9. What is m?
  2. 2.Solve: 6(m + 2) = 54. What is m?
  3. 3.Joseph’s mother is twice as old as Joseph. Their ages add up to 24 years. How old is Joseph?
  4. 4.Solve: 4(x + 5) = 32. What is x?
  5. 5.Solve: 3(y + 8) = 30. What is y?
  6. 6.Solve: 5(y + 9) = 70. What is y?
  7. 7.Solve: n/7 + 6 = 14. What is n?
  8. 8.Solve: 3(x + 5) = 30. What is x?
  9. 9.Solve: 5m − 50 = 10. What is m?
  10. 10.Solve: 2p − 4 = 8. What is p?
  11. 11.Solve: n/3 + 20 = 26. What is n?
  12. 12.Solve: 6(n + 3) = 90. What is n?
  13. 13.Solve: 6y + 16 = 100. What is y?
  14. 14.Solve: t/9 + 9 = 20. What is t?
  15. 15.Solve: t/6 + 10 = 22. What is t?
  16. 16.Ananya thinks of a number, multiplies it by 8 and then adds 19. The result is 131. What is the number?
  17. 17.Solve: 8y − 25 = 95. What is y?
  18. 18.Solve: 2n + 22 = 50. What is n?
  19. 19.Solve: 6y + 1 = 43. What is y?
  20. 20.Solve: 8y + 12 = 60. What is y?
  21. 21.Solve: 9y + 5 = 68. What is y?
  22. 22.Solve: 3t − 4 = 5. What is t?
  23. 23.Dev is 5 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  24. 24.Solve: 9y + 30 = 129. What is y?
  25. 25.Karan’s mother is four times as old as Karan. Their ages add up to 75 years. How old is Karan?
  26. 26.Solve: 8(m + 2) = 40. What is m?
  27. 27.Solve: 6x − 60 = 18. What is x?
  28. 28.Rohan thinks of a number, multiplies it by 3 and then adds 6. The result is 39. What is the number?
  29. 29.Zoya thinks of a number, multiplies it by 2 and then adds 30. The result is 42. What is the number?
  30. 30.Solve: 6n − 47 = 37. What is n?
  31. 31.Kavya thinks of a number, multiplies it by 3 and then adds 9. The result is 39. What is the number?
  32. 32.Sneha thinks of a number, multiplies it by 3 and then adds 21. The result is 24. What is the number?
  33. 33.Rohan thinks of a number, multiplies it by 2 and then adds 4. The result is 34. What is the number?
  34. 34.Solve: 3x − 5 = 4. What is x?
  35. 35.Farhan thinks of a number, multiplies it by 5 and then adds 9. The result is 59. What is the number?
  36. 36.Solve: x/9 + 6 = 9. What is x?
  37. 37.Solve: x/3 + 7 = 16. What is x?
  38. 38.Solve: 2x + 30 = 38. What is x?
  39. 39.Solve: 6n − 5 = 13. What is n?
  40. 40.Solve: 5x + 22 = 37. What is x?

Answer key

  1. 2
  2. 7
  3. 8
  4. 3
  5. 2
  6. 5
  7. 56
  8. 5
  9. 12
  10. 6
  11. 18
  12. 12
  13. 14
  14. 99
  15. 72
  16. 14
  17. 15
  18. 14
  19. 7
  20. 6
  21. 7
  22. 3
  23. 6
  24. 11
  25. 15
  26. 3
  27. 13
  28. 11
  29. 6
  30. 14
  31. 10
  32. 1
  33. 15
  34. 3
  35. 10
  36. 27
  37. 27
  38. 4
  39. 3
  40. 3

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