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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 677 · 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: 9(y + 2) = 108. What is y?
  2. 2.Zoya’s mother is three times as old as Zoya. Their ages add up to 48 years. How old is Zoya?
  3. 3.Solve: t/4 + 5 = 16. What is t?
  4. 4.Solve: 6x + 1 = 7. What is x?
  5. 5.Solve: p/3 + 19 = 34. What is p?
  6. 6.Solve: 6t + 30 = 48. What is t?
  7. 7.Solve: 3p + 16 = 25. What is p?
  8. 8.Aditya is 7 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  9. 9.Rohan’s mother is three times as old as Rohan. Their ages add up to 56 years. How old is Rohan?
  10. 10.Solve: 7n − 17 = 18. What is n?
  11. 11.Isha’s mother is four times as old as Isha. Their ages add up to 60 years. How old is Isha?
  12. 12.Ishaan thinks of a number, multiplies it by 3 and then adds 22. The result is 52. What is the number?
  13. 13.Aarav is 1 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  14. 14.Solve: y/9 + 18 = 23. What is y?
  15. 15.Kabir thinks of a number, multiplies it by 2 and then adds 16. The result is 30. What is the number?
  16. 16.Sneha is 6 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  17. 17.Solve: 9(m + 7) = 72. What is m?
  18. 18.Solve: 3x + 23 = 47. What is x?
  19. 19.Solve: p/6 + 11 = 18. What is p?
  20. 20.Solve: 4p + 5 = 49. What is p?
  21. 21.Aarav’s mother is four times as old as Aarav. Their ages add up to 65 years. How old is Aarav?
  22. 22.Solve: 2y − 12 = 6. What is y?
  23. 23.Isha thinks of a number, multiplies it by 3 and then adds 24. The result is 66. What is the number?
  24. 24.Solve: 9(t + 4) = 153. What is t?
  25. 25.Solve: 2y + 11 = 25. What is y?
  26. 26.Solve: 8m − 45 = 19. What is m?
  27. 27.Solve: 2x + 16 = 40. What is x?
  28. 28.Solve: y/5 + 2 = 15. What is y?
  29. 29.Solve: 7x + 16 = 23. What is x?
  30. 30.Isha’s mother is three times as old as Isha. Their ages add up to 24 years. How old is Isha?
  31. 31.Solve: m/7 + 2 = 11. What is m?
  32. 32.Solve: 3x − 2 = 1. What is x?
  33. 33.Solve: n/2 + 17 = 28. What is n?
  34. 34.Rahul’s mother is twice as old as Rahul. Their ages add up to 39 years. How old is Rahul?
  35. 35.Isha thinks of a number, multiplies it by 6 and then adds 6. The result is 12. What is the number?
  36. 36.Solve: 7y − 104 = 1. What is y?
  37. 37.Aarav thinks of a number, multiplies it by 3 and then adds 21. The result is 24. What is the number?
  38. 38.Solve: 3x + 10 = 40. What is x?
  39. 39.Karan thinks of a number, multiplies it by 9 and then adds 6. The result is 132. What is the number?
  40. 40.Solve: 9x − 12 = 42. What is x?

Answer key

  1. 10
  2. 12
  3. 44
  4. 1
  5. 45
  6. 3
  7. 3
  8. 5
  9. 14
  10. 5
  11. 12
  12. 10
  13. 10
  14. 45
  15. 7
  16. 10
  17. 1
  18. 8
  19. 42
  20. 11
  21. 13
  22. 9
  23. 14
  24. 13
  25. 7
  26. 8
  27. 12
  28. 65
  29. 1
  30. 6
  31. 63
  32. 1
  33. 22
  34. 13
  35. 1
  36. 15
  37. 1
  38. 10
  39. 14
  40. 6

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