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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 573 · 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.Kavya’s mother is twice as old as Kavya. Their ages add up to 42 years. How old is Kavya?
  2. 2.Solve: 7(x + 3) = 35. What is x?
  3. 3.Kabir is 5 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  4. 4.Solve: m/4 + 4 = 5. What is m?
  5. 5.Solve: 8p + 8 = 24. What is p?
  6. 6.Solve: x/2 + 16 = 22. What is x?
  7. 7.Solve: 9x + 2 = 119. What is x?
  8. 8.Meera thinks of a number, multiplies it by 2 and then adds 26. The result is 48. What is the number?
  9. 9.Solve: 6(y + 1) = 42. What is y?
  10. 10.Ishaan thinks of a number, multiplies it by 7 and then adds 14. The result is 28. What is the number?
  11. 11.Solve: 2n − 10 = 10. What is n?
  12. 12.Solve: y/9 + 9 = 19. What is y?
  13. 13.Kabir thinks of a number, multiplies it by 2 and then adds 7. The result is 25. What is the number?
  14. 14.Lakshmi thinks of a number, multiplies it by 3 and then adds 9. The result is 36. What is the number?
  15. 15.Meera’s mother is three times as old as Meera. Their ages add up to 32 years. How old is Meera?
  16. 16.Solve: 7y − 58 = 5. What is y?
  17. 17.Rohan thinks of a number, multiplies it by 6 and then adds 30. The result is 72. What is the number?
  18. 18.Solve: 5(m + 5) = 100. What is m?
  19. 19.Pooja’s mother is three times as old as Pooja. Their ages add up to 28 years. How old is Pooja?
  20. 20.Solve: 2p + 17 = 37. What is p?
  21. 21.Solve: y/7 + 2 = 4. What is y?
  22. 22.Solve: 2y − 1 = 3. What is y?
  23. 23.Sneha thinks of a number, multiplies it by 2 and then adds 10. The result is 36. What is the number?
  24. 24.Solve: 3(t + 5) = 48. What is t?
  25. 25.Solve: 8m − 116 = 4. What is m?
  26. 26.Karan is 6 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  27. 27.Solve: m/3 + 5 = 16. What is m?
  28. 28.Aarav thinks of a number, multiplies it by 4 and then adds 10. The result is 38. What is the number?
  29. 29.Solve: 2x + 2 = 18. What is x?
  30. 30.Solve: 7n + 29 = 43. What is n?
  31. 31.Riya thinks of a number, multiplies it by 4 and then adds 15. The result is 39. What is the number?
  32. 32.Solve: 8y − 31 = 49. What is y?
  33. 33.Gurpreet thinks of a number, multiplies it by 5 and then adds 4. The result is 74. What is the number?
  34. 34.Kabir’s mother is four times as old as Kabir. Their ages add up to 60 years. How old is Kabir?
  35. 35.Solve: p/7 + 3 = 14. What is p?
  36. 36.Meera’s mother is four times as old as Meera. Their ages add up to 45 years. How old is Meera?
  37. 37.Solve: 5p + 1 = 76. What is p?
  38. 38.Ananya thinks of a number, multiplies it by 2 and then adds 1. The result is 15. What is the number?
  39. 39.Solve: 5(p + 6) = 65. What is p?
  40. 40.Solve: x/2 + 15 = 17. What is x?

Answer key

  1. 14
  2. 2
  3. 10
  4. 4
  5. 2
  6. 12
  7. 13
  8. 11
  9. 6
  10. 2
  11. 10
  12. 90
  13. 9
  14. 9
  15. 8
  16. 9
  17. 7
  18. 15
  19. 7
  20. 10
  21. 14
  22. 2
  23. 13
  24. 11
  25. 15
  26. 6
  27. 33
  28. 7
  29. 8
  30. 2
  31. 6
  32. 10
  33. 14
  34. 12
  35. 77
  36. 9
  37. 15
  38. 7
  39. 7
  40. 4

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