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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 721 · 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: 9t + 15 = 132. What is t?
  2. 2.Solve: p/9 + 5 = 9. What is p?
  3. 3.Solve: 2m + 25 = 55. What is m?
  4. 4.Solve: 5p + 11 = 56. What is p?
  5. 5.Kavya’s mother is four times as old as Kavya. Their ages add up to 25 years. How old is Kavya?
  6. 6.Solve: 2m + 9 = 17. What is m?
  7. 7.Solve: 8p − 17 = 63. What is p?
  8. 8.Ananya thinks of a number, multiplies it by 3 and then adds 16. The result is 25. What is the number?
  9. 9.Solve: 3m + 9 = 42. What is m?
  10. 10.Solve: 4(n + 4) = 40. What is n?
  11. 11.Pooja thinks of a number, multiplies it by 9 and then adds 25. The result is 133. What is the number?
  12. 12.Solve: 7(x + 3) = 119. What is x?
  13. 13.Priya is 2 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  14. 14.Solve: 7n − 7 = 7. What is n?
  15. 15.Kabir thinks of a number, multiplies it by 8 and then adds 21. The result is 29. What is the number?
  16. 16.Solve: 2y − 6 = 2. What is y?
  17. 17.Diya is 8 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  18. 18.Solve: 9p − 37 = 62. What is p?
  19. 19.Solve: 3x − 4 = 5. What is x?
  20. 20.Gurpreet is 1 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  21. 21.Solve: 5(x + 6) = 85. What is x?
  22. 22.Solve: 9x − 4 = 59. What is x?
  23. 23.Kabir is 3 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  24. 24.Solve: 9(x + 7) = 153. What is x?
  25. 25.Aditya thinks of a number, multiplies it by 6 and then adds 9. The result is 93. What is the number?
  26. 26.Solve: m/8 + 2 = 16. What is m?
  27. 27.Solve: 6(x + 9) = 60. What is x?
  28. 28.Solve: 8m − 20 = 36. What is m?
  29. 29.Solve: 6n − 20 = 34. What is n?
  30. 30.Priya is 5 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  31. 31.Solve: 3(x + 7) = 24. What is x?
  32. 32.Manav is 3 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  33. 33.Solve: 5m + 11 = 16. What is m?
  34. 34.Solve: 6n + 18 = 48. What is n?
  35. 35.Solve: 8t − 47 = 73. What is t?
  36. 36.Solve: m/3 + 2 = 12. What is m?
  37. 37.Solve: 3(x + 6) = 33. What is x?
  38. 38.Solve: 6x + 2 = 26. What is x?
  39. 39.Solve: 3n − 1 = 2. What is n?
  40. 40.Solve: y/5 + 15 = 30. What is y?

Answer key

  1. 13
  2. 36
  3. 15
  4. 9
  5. 5
  6. 4
  7. 10
  8. 3
  9. 11
  10. 6
  11. 12
  12. 14
  13. 7
  14. 2
  15. 1
  16. 4
  17. 11
  18. 11
  19. 3
  20. 5
  21. 11
  22. 7
  23. 12
  24. 10
  25. 14
  26. 112
  27. 1
  28. 7
  29. 9
  30. 12
  31. 1
  32. 4
  33. 1
  34. 5
  35. 15
  36. 30
  37. 5
  38. 4
  39. 1
  40. 75

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