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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 623 · 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: y/5 + 14 = 29. What is y?
  2. 2.Solve: t/6 + 11 = 12. What is t?
  3. 3.Farhan is 1 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  4. 4.Solve: 9t + 10 = 37. What is t?
  5. 5.Joseph’s mother is four times as old as Joseph. Their ages add up to 20 years. How old is Joseph?
  6. 6.Solve: x/2 + 5 = 18. What is x?
  7. 7.Solve: 4p + 26 = 30. What is p?
  8. 8.Aditya’s mother is four times as old as Aditya. Their ages add up to 25 years. How old is Aditya?
  9. 9.Solve: p/8 + 4 = 14. What is p?
  10. 10.Solve: x/8 + 13 = 14. What is x?
  11. 11.Solve: 6n + 3 = 9. What is n?
  12. 12.Rahul thinks of a number, multiplies it by 7 and then adds 29. The result is 64. What is the number?
  13. 13.Solve: p/4 + 4 = 9. What is p?
  14. 14.Solve: n/5 + 4 = 8. What is n?
  15. 15.Kabir is 3 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  16. 16.Solve: 9x + 12 = 120. What is x?
  17. 17.Meera’s mother is twice as old as Meera. Their ages add up to 21 years. How old is Meera?
  18. 18.Diya’s mother is four times as old as Diya. Their ages add up to 35 years. How old is Diya?
  19. 19.Solve: 4n + 5 = 13. What is n?
  20. 20.Vivaan’s mother is four times as old as Vivaan. Their ages add up to 25 years. How old is Vivaan?
  21. 21.Solve: 2(x + 3) = 8. What is x?
  22. 22.Rahul thinks of a number, multiplies it by 9 and then adds 30. The result is 129. What is the number?
  23. 23.Solve: 8(x + 2) = 48. What is x?
  24. 24.Isha thinks of a number, multiplies it by 3 and then adds 27. The result is 48. What is the number?
  25. 25.Solve: 7(y + 6) = 84. What is y?
  26. 26.Solve: 3m + 17 = 29. What is m?
  27. 27.Kabir thinks of a number, multiplies it by 8 and then adds 27. The result is 83. What is the number?
  28. 28.Solve: 9n + 13 = 22. What is n?
  29. 29.Solve: 6(y + 8) = 90. What is y?
  30. 30.Ananya thinks of a number, multiplies it by 2 and then adds 11. The result is 21. What is the number?
  31. 31.Solve: 4t − 11 = 9. What is t?
  32. 32.Solve: 4t + 17 = 45. What is t?
  33. 33.Solve: 7(y + 3) = 112. What is y?
  34. 34.Solve: 3x − 1 = 2. What is x?
  35. 35.Solve: 4t + 27 = 51. What is t?
  36. 36.Solve: p/3 + 5 = 6. What is p?
  37. 37.Solve: 8(x + 9) = 192. What is x?
  38. 38.Solve: 2y − 2 = 4. What is y?
  39. 39.Solve: 9y − 36 = 18. What is y?
  40. 40.Arjun is 7 years older than a cousin. Their ages add up to 35 years. How old is the cousin?

Answer key

  1. 75
  2. 6
  3. 15
  4. 3
  5. 4
  6. 26
  7. 1
  8. 5
  9. 80
  10. 8
  11. 1
  12. 5
  13. 20
  14. 20
  15. 5
  16. 12
  17. 7
  18. 7
  19. 2
  20. 5
  21. 1
  22. 11
  23. 4
  24. 7
  25. 6
  26. 4
  27. 7
  28. 1
  29. 7
  30. 5
  31. 5
  32. 7
  33. 13
  34. 1
  35. 6
  36. 3
  37. 15
  38. 3
  39. 6
  40. 14

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