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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 237 · 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: 2t − 13 = 1. What is t?
  2. 2.Priya thinks of a number, multiplies it by 2 and then adds 24. The result is 40. What is the number?
  3. 3.Solve: 6x − 16 = 44. What is x?
  4. 4.Solve: 5(y + 4) = 35. What is y?
  5. 5.Aditya thinks of a number, multiplies it by 7 and then adds 19. The result is 47. What is the number?
  6. 6.Ananya is 1 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  7. 7.Solve: 2y − 12 = 4. What is y?
  8. 8.Farhan thinks of a number, multiplies it by 7 and then adds 20. The result is 27. What is the number?
  9. 9.Solve: 3p − 8 = 19. What is p?
  10. 10.Pooja thinks of a number, multiplies it by 3 and then adds 6. The result is 24. What is the number?
  11. 11.Rahul is 2 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  12. 12.Solve: 8x + 24 = 80. What is x?
  13. 13.Solve: n/6 + 20 = 24. What is n?
  14. 14.Solve: y/3 + 2 = 13. What is y?
  15. 15.Solve: 7t + 10 = 66. What is t?
  16. 16.Pooja thinks of a number, multiplies it by 9 and then adds 6. The result is 114. What is the number?
  17. 17.Solve: 3t + 18 = 21. What is t?
  18. 18.Solve: 6(t + 7) = 84. What is t?
  19. 19.Aditya thinks of a number, multiplies it by 2 and then adds 19. The result is 37. What is the number?
  20. 20.Joseph’s mother is three times as old as Joseph. Their ages add up to 16 years. How old is Joseph?
  21. 21.Solve: 5m + 26 = 71. What is m?
  22. 22.Solve: 6(n + 2) = 18. What is n?
  23. 23.Solve: p/7 + 4 = 11. What is p?
  24. 24.Solve: 9n + 24 = 105. What is n?
  25. 25.Kabir thinks of a number, multiplies it by 5 and then adds 12. The result is 62. What is the number?
  26. 26.Solve: x/7 + 11 = 17. What is x?
  27. 27.Aarav thinks of a number, multiplies it by 4 and then adds 30. The result is 78. What is the number?
  28. 28.Priya’s mother is four times as old as Priya. Their ages add up to 40 years. How old is Priya?
  29. 29.Solve: y/8 + 9 = 13. What is y?
  30. 30.Solve: 7(t + 8) = 77. What is t?
  31. 31.Solve: 4n + 22 = 46. What is n?
  32. 32.Farhan is 8 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  33. 33.Solve: 7m + 3 = 108. What is m?
  34. 34.Nisha is 8 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  35. 35.Solve: 7x + 25 = 53. What is x?
  36. 36.Solve: 8p + 9 = 129. What is p?
  37. 37.Sneha thinks of a number, multiplies it by 3 and then adds 16. The result is 49. What is the number?
  38. 38.Ananya thinks of a number, multiplies it by 8 and then adds 7. The result is 31. What is the number?
  39. 39.Solve: 7(y + 7) = 147. What is y?
  40. 40.Solve: 9t + 17 = 152. What is t?

Answer key

  1. 7
  2. 8
  3. 10
  4. 3
  5. 4
  6. 8
  7. 8
  8. 1
  9. 9
  10. 6
  11. 8
  12. 7
  13. 24
  14. 33
  15. 8
  16. 12
  17. 1
  18. 7
  19. 9
  20. 4
  21. 9
  22. 1
  23. 49
  24. 9
  25. 10
  26. 42
  27. 12
  28. 8
  29. 32
  30. 3
  31. 6
  32. 13
  33. 15
  34. 12
  35. 4
  36. 15
  37. 11
  38. 3
  39. 14
  40. 15

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