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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 584 · 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: 3t − 9 = 18. What is t?
  2. 2.Manav thinks of a number, multiplies it by 5 and then adds 6. The result is 11. What is the number?
  3. 3.Karan thinks of a number, multiplies it by 5 and then adds 13. The result is 68. What is the number?
  4. 4.Solve: 4x − 7 = 9. What is x?
  5. 5.Solve: 6t − 1 = 11. What is t?
  6. 6.Solve: 6n + 7 = 85. What is n?
  7. 7.Sneha is 1 years older than a cousin. Their ages add up to 9 years. How old is the cousin?
  8. 8.Solve: p/9 + 19 = 20. What is p?
  9. 9.Solve: 2x + 30 = 44. What is x?
  10. 10.Solve: 6x + 1 = 37. What is x?
  11. 11.Rahul is 3 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  12. 12.Solve: 9(n + 3) = 54. What is n?
  13. 13.Solve: 7t − 47 = 30. What is t?
  14. 14.Solve: x/8 + 15 = 17. What is x?
  15. 15.Solve: 2m − 5 = 1. What is m?
  16. 16.Dev’s mother is four times as old as Dev. Their ages add up to 30 years. How old is Dev?
  17. 17.Solve: 3y + 11 = 32. What is y?
  18. 18.Rahul thinks of a number, multiplies it by 7 and then adds 22. The result is 99. What is the number?
  19. 19.Solve: 2m + 5 = 17. What is m?
  20. 20.Farhan’s mother is three times as old as Farhan. Their ages add up to 52 years. How old is Farhan?
  21. 21.Solve: 3n − 35 = 4. What is n?
  22. 22.Solve: 8(t + 8) = 80. What is t?
  23. 23.Solve: 6n + 7 = 73. What is n?
  24. 24.Solve: 4p + 3 = 59. What is p?
  25. 25.Solve: y/5 + 6 = 16. What is y?
  26. 26.Rohan thinks of a number, multiplies it by 5 and then adds 1. The result is 41. What is the number?
  27. 27.Solve: 3x + 26 = 71. What is x?
  28. 28.Solve: 3m − 1 = 2. What is m?
  29. 29.Tara thinks of a number, multiplies it by 4 and then adds 26. The result is 62. What is the number?
  30. 30.Solve: 3p + 30 = 69. What is p?
  31. 31.Lakshmi is 4 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  32. 32.Solve: 5(y + 7) = 110. What is y?
  33. 33.Kabir thinks of a number, multiplies it by 4 and then adds 12. The result is 44. What is the number?
  34. 34.Solve: 7p − 8 = 6. What is p?
  35. 35.Riya is 6 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  36. 36.Tara thinks of a number, multiplies it by 3 and then adds 3. The result is 45. What is the number?
  37. 37.Arjun thinks of a number, multiplies it by 7 and then adds 18. The result is 46. What is the number?
  38. 38.Solve: x/2 + 17 = 23. What is x?
  39. 39.Solve: 2y + 24 = 52. What is y?
  40. 40.Solve: 8x − 65 = 39. What is x?

Answer key

  1. 9
  2. 1
  3. 11
  4. 4
  5. 2
  6. 13
  7. 4
  8. 9
  9. 7
  10. 6
  11. 6
  12. 3
  13. 11
  14. 16
  15. 3
  16. 6
  17. 7
  18. 11
  19. 6
  20. 13
  21. 13
  22. 2
  23. 11
  24. 14
  25. 50
  26. 8
  27. 15
  28. 1
  29. 9
  30. 13
  31. 5
  32. 15
  33. 8
  34. 2
  35. 10
  36. 14
  37. 4
  38. 12
  39. 14
  40. 13

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