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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 627 · 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: n/7 + 17 = 21. What is n?
  2. 2.Solve: m/7 + 1 = 16. What is m?
  3. 3.Vivaan thinks of a number, multiplies it by 9 and then adds 5. The result is 122. What is the number?
  4. 4.Solve: t/8 + 8 = 16. What is t?
  5. 5.Karan thinks of a number, multiplies it by 4 and then adds 23. The result is 75. What is the number?
  6. 6.Solve: 7y − 6 = 8. What is y?
  7. 7.Solve: 3(m + 5) = 27. What is m?
  8. 8.Solve: y/8 + 15 = 24. What is y?
  9. 9.Solve: 6x + 15 = 39. What is x?
  10. 10.Solve: 3t + 3 = 48. What is t?
  11. 11.Rahul’s mother is three times as old as Rahul. Their ages add up to 20 years. How old is Rahul?
  12. 12.Aditya’s mother is four times as old as Aditya. Their ages add up to 50 years. How old is Aditya?
  13. 13.Solve: 4x − 9 = 15. What is x?
  14. 14.Nisha is 4 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  15. 15.Solve: 5y − 41 = 4. What is y?
  16. 16.Isha thinks of a number, multiplies it by 7 and then adds 5. The result is 61. What is the number?
  17. 17.Solve: p/9 + 1 = 12. What is p?
  18. 18.Solve: 9n − 8 = 1. What is n?
  19. 19.Aarav thinks of a number, multiplies it by 4 and then adds 9. The result is 37. What is the number?
  20. 20.Solve: 5p − 17 = 18. What is p?
  21. 21.Kabir thinks of a number, multiplies it by 7 and then adds 23. The result is 114. What is the number?
  22. 22.Solve: t/2 + 9 = 21. What is t?
  23. 23.Solve: 9(x + 5) = 117. What is x?
  24. 24.Sneha thinks of a number, multiplies it by 6 and then adds 7. The result is 37. What is the number?
  25. 25.Solve: 7y + 27 = 97. What is y?
  26. 26.Vivaan thinks of a number, multiplies it by 3 and then adds 21. The result is 60. What is the number?
  27. 27.Rahul thinks of a number, multiplies it by 8 and then adds 17. The result is 57. What is the number?
  28. 28.Solve: m/3 + 10 = 25. What is m?
  29. 29.Solve: 7x − 15 = 6. What is x?
  30. 30.Rahul is 1 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  31. 31.Pooja is 8 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  32. 32.Zoya thinks of a number, multiplies it by 5 and then adds 11. The result is 36. What is the number?
  33. 33.Solve: 4(y + 1) = 8. What is y?
  34. 34.Solve: 6(y + 8) = 84. What is y?
  35. 35.Solve: t/3 + 14 = 17. What is t?
  36. 36.Solve: 9n − 34 = 47. What is n?
  37. 37.Solve: 6n − 35 = 1. What is n?
  38. 38.Solve: p/6 + 7 = 11. What is p?
  39. 39.Solve: 2m + 22 = 32. What is m?
  40. 40.Aditya is 8 years older than a cousin. Their ages add up to 34 years. How old is the cousin?

Answer key

  1. 28
  2. 105
  3. 13
  4. 64
  5. 13
  6. 2
  7. 4
  8. 72
  9. 4
  10. 15
  11. 5
  12. 10
  13. 6
  14. 4
  15. 9
  16. 8
  17. 99
  18. 1
  19. 7
  20. 7
  21. 13
  22. 24
  23. 8
  24. 5
  25. 10
  26. 13
  27. 5
  28. 45
  29. 3
  30. 12
  31. 6
  32. 5
  33. 1
  34. 6
  35. 9
  36. 9
  37. 6
  38. 24
  39. 5
  40. 13

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