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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 936 · 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.Zoya thinks of a number, multiplies it by 6 and then adds 5. The result is 71. What is the number?
  2. 2.Farhan thinks of a number, multiplies it by 5 and then adds 14. The result is 39. What is the number?
  3. 3.Solve: 4n + 6 = 38. What is n?
  4. 4.Solve: 9x + 28 = 118. What is x?
  5. 5.Solve: x/2 + 8 = 18. What is x?
  6. 6.Aditya’s mother is four times as old as Aditya. Their ages add up to 50 years. How old is Aditya?
  7. 7.Rahul thinks of a number, multiplies it by 4 and then adds 17. The result is 45. What is the number?
  8. 8.Solve: 7(y + 4) = 42. What is y?
  9. 9.Solve: x/3 + 14 = 17. What is x?
  10. 10.Solve: n/2 + 13 = 27. What is n?
  11. 11.Rohan thinks of a number, multiplies it by 2 and then adds 27. The result is 37. What is the number?
  12. 12.Solve: 9x + 25 = 70. What is x?
  13. 13.Solve: 8p − 46 = 42. What is p?
  14. 14.Ishaan thinks of a number, multiplies it by 6 and then adds 7. The result is 73. What is the number?
  15. 15.Karan thinks of a number, multiplies it by 4 and then adds 4. The result is 40. What is the number?
  16. 16.Solve: n/9 + 3 = 14. What is n?
  17. 17.Solve: t/7 + 2 = 13. What is t?
  18. 18.Solve: 8p + 7 = 95. What is p?
  19. 19.Solve: t/9 + 17 = 19. What is t?
  20. 20.Solve: 8p + 19 = 139. What is p?
  21. 21.Solve: m/7 + 9 = 11. What is m?
  22. 22.Meera’s mother is three times as old as Meera. Their ages add up to 20 years. How old is Meera?
  23. 23.Solve: 9y + 15 = 42. What is y?
  24. 24.Ananya is 3 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  25. 25.Solve: 2(p + 1) = 14. What is p?
  26. 26.Solve: 3(t + 7) = 30. What is t?
  27. 27.Solve: 2(m + 4) = 38. What is m?
  28. 28.Solve: 3t + 15 = 42. What is t?
  29. 29.Rohan thinks of a number, multiplies it by 4 and then adds 29. The result is 69. What is the number?
  30. 30.Rohan thinks of a number, multiplies it by 4 and then adds 29. The result is 77. What is the number?
  31. 31.Solve: 7x + 27 = 97. What is x?
  32. 32.Solve: 7p − 2 = 26. What is p?
  33. 33.Solve: m/4 + 5 = 7. What is m?
  34. 34.Solve: y/3 + 20 = 30. What is y?
  35. 35.Gurpreet thinks of a number, multiplies it by 8 and then adds 13. The result is 93. What is the number?
  36. 36.Kavya thinks of a number, multiplies it by 8 and then adds 17. The result is 137. What is the number?
  37. 37.Vivaan is 2 years older than a cousin. Their ages add up to 10 years. How old is the cousin?
  38. 38.Solve: 9(y + 9) = 162. What is y?
  39. 39.Solve: 3m + 2 = 38. What is m?
  40. 40.Solve: 2(t + 7) = 22. What is t?

Answer key

  1. 11
  2. 5
  3. 8
  4. 10
  5. 20
  6. 10
  7. 7
  8. 2
  9. 9
  10. 28
  11. 5
  12. 5
  13. 11
  14. 11
  15. 9
  16. 99
  17. 77
  18. 11
  19. 18
  20. 15
  21. 14
  22. 5
  23. 3
  24. 13
  25. 6
  26. 3
  27. 15
  28. 9
  29. 10
  30. 12
  31. 10
  32. 4
  33. 8
  34. 30
  35. 10
  36. 15
  37. 4
  38. 9
  39. 12
  40. 4

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