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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 903 · 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.Aditya’s mother is four times as old as Aditya. Their ages add up to 20 years. How old is Aditya?
  2. 2.Solve: 6(y + 7) = 66. What is y?
  3. 3.Aarav thinks of a number, multiplies it by 3 and then adds 14. The result is 44. What is the number?
  4. 4.Zoya is 5 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
  5. 5.Aditya’s mother is twice as old as Aditya. Their ages add up to 27 years. How old is Aditya?
  6. 6.Solve: 3t + 11 = 56. What is t?
  7. 7.Meera thinks of a number, multiplies it by 2 and then adds 25. The result is 33. What is the number?
  8. 8.Joseph is 3 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  9. 9.Solve: 5(t + 2) = 40. What is t?
  10. 10.Ananya thinks of a number, multiplies it by 2 and then adds 10. The result is 22. What is the number?
  11. 11.Solve: 4m − 11 = 1. What is m?
  12. 12.Meera thinks of a number, multiplies it by 9 and then adds 19. The result is 46. What is the number?
  13. 13.Solve: 5y + 21 = 31. What is y?
  14. 14.Ananya thinks of a number, multiplies it by 9 and then adds 18. The result is 126. What is the number?
  15. 15.Solve: y/4 + 4 = 18. What is y?
  16. 16.Solve: 4m − 6 = 10. What is m?
  17. 17.Solve: 9y + 21 = 93. What is y?
  18. 18.Solve: 8p − 2 = 14. What is p?
  19. 19.Solve: 7(p + 1) = 35. What is p?
  20. 20.Solve: 8y − 46 = 10. What is y?
  21. 21.Solve: 6(p + 1) = 90. What is p?
  22. 22.Solve: y/8 + 5 = 14. What is y?
  23. 23.Tara is 4 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  24. 24.Solve: y/9 + 16 = 17. What is y?
  25. 25.Solve: 9m + 10 = 109. What is m?
  26. 26.Solve: x/3 + 8 = 12. What is x?
  27. 27.Solve: 7t + 20 = 97. What is t?
  28. 28.Kabir thinks of a number, multiplies it by 7 and then adds 9. The result is 51. What is the number?
  29. 29.Solve: t/3 + 11 = 17. What is t?
  30. 30.Solve: 3(y + 1) = 30. What is y?
  31. 31.Solve: t/5 + 13 = 21. What is t?
  32. 32.Solve: 3n − 2 = 1. What is n?
  33. 33.Solve: 7x − 4 = 24. What is x?
  34. 34.Solve: m/4 + 8 = 19. What is m?
  35. 35.Arjun thinks of a number, multiplies it by 3 and then adds 26. The result is 29. What is the number?
  36. 36.Solve: 6(p + 5) = 36. What is p?
  37. 37.Solve: 3m + 15 = 27. What is m?
  38. 38.Solve: 6y − 1 = 5. What is y?
  39. 39.Solve: 4n + 6 = 34. What is n?
  40. 40.Solve: x/9 + 20 = 21. What is x?

Answer key

  1. 4
  2. 4
  3. 10
  4. 15
  5. 9
  6. 15
  7. 4
  8. 6
  9. 6
  10. 6
  11. 3
  12. 3
  13. 2
  14. 12
  15. 56
  16. 4
  17. 8
  18. 2
  19. 4
  20. 7
  21. 14
  22. 72
  23. 14
  24. 9
  25. 11
  26. 12
  27. 11
  28. 6
  29. 18
  30. 9
  31. 40
  32. 1
  33. 4
  34. 44
  35. 1
  36. 1
  37. 4
  38. 1
  39. 7
  40. 9

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