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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 944 · 40 sums
TalentJR

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/4 + 1 = 2. What is y?
  2. 2.Solve: 8m + 28 = 116. What is m?
  3. 3.Solve: 8n + 14 = 54. What is n?
  4. 4.Solve: 9(x + 8) = 135. What is x?
  5. 5.Solve: 4m + 16 = 32. What is m?
  6. 6.Solve: 3y + 5 = 20. What is y?
  7. 7.Solve: 5t + 30 = 70. What is t?
  8. 8.Solve: 3x − 25 = 5. What is x?
  9. 9.Solve: 9(x + 9) = 90. What is x?
  10. 10.Solve: 4x + 8 = 64. What is x?
  11. 11.Solve: 6p − 75 = 3. What is p?
  12. 12.Solve: 4t + 13 = 61. What is t?
  13. 13.Solve: 5y + 2 = 72. What is y?
  14. 14.Solve: 7(x + 1) = 21. What is x?
  15. 15.Solve: 6(m + 9) = 132. What is m?
  16. 16.Rohan is 1 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  17. 17.Solve: 7(m + 9) = 70. What is m?
  18. 18.Farhan thinks of a number, multiplies it by 5 and then adds 26. The result is 81. What is the number?
  19. 19.Solve: 8y + 12 = 20. What is y?
  20. 20.Ishaan’s mother is four times as old as Ishaan. Their ages add up to 25 years. How old is Ishaan?
  21. 21.Solve: x/6 + 9 = 17. What is x?
  22. 22.Rahul’s mother is three times as old as Rahul. Their ages add up to 24 years. How old is Rahul?
  23. 23.Solve: x/3 + 12 = 13. What is x?
  24. 24.Solve: 2y − 27 = 1. What is y?
  25. 25.Solve: 2t + 28 = 36. What is t?
  26. 26.Diya is 2 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  27. 27.Aditya thinks of a number, multiplies it by 3 and then adds 24. The result is 60. What is the number?
  28. 28.Solve: 7n − 6 = 1. What is n?
  29. 29.Solve: 8(y + 9) = 80. What is y?
  30. 30.Solve: 7y + 26 = 33. What is y?
  31. 31.Pooja’s mother is four times as old as Pooja. Their ages add up to 25 years. How old is Pooja?
  32. 32.Riya is 8 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  33. 33.Aditya is 1 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  34. 34.Solve: 2m + 4 = 20. What is m?
  35. 35.Solve: 9(p + 9) = 216. What is p?
  36. 36.Sneha thinks of a number, multiplies it by 4 and then adds 10. The result is 62. What is the number?
  37. 37.Solve: y/9 + 12 = 18. What is y?
  38. 38.Kabir thinks of a number, multiplies it by 7 and then adds 4. The result is 53. What is the number?
  39. 39.Solve: 5p − 21 = 4. What is p?
  40. 40.Solve: 7m + 5 = 54. What is m?

Answer key

  1. 4
  2. 11
  3. 5
  4. 7
  5. 4
  6. 5
  7. 8
  8. 10
  9. 1
  10. 14
  11. 13
  12. 12
  13. 14
  14. 2
  15. 13
  16. 10
  17. 1
  18. 11
  19. 1
  20. 5
  21. 48
  22. 6
  23. 3
  24. 14
  25. 4
  26. 7
  27. 12
  28. 1
  29. 1
  30. 1
  31. 5
  32. 12
  33. 6
  34. 8
  35. 15
  36. 13
  37. 54
  38. 7
  39. 5
  40. 7

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