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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 131 · 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: 6(p + 2) = 66. What is p?
  2. 2.Solve: 3n + 25 = 55. What is n?
  3. 3.Aditya thinks of a number, multiplies it by 6 and then adds 23. The result is 47. What is the number?
  4. 4.Solve: x/4 + 11 = 14. What is x?
  5. 5.Solve: 8y + 9 = 113. What is y?
  6. 6.Isha thinks of a number, multiplies it by 2 and then adds 30. The result is 38. What is the number?
  7. 7.Solve: x/3 + 1 = 16. What is x?
  8. 8.Solve: 9n + 10 = 91. What is n?
  9. 9.Solve: 5y + 13 = 43. What is y?
  10. 10.Solve: x/4 + 10 = 22. What is x?
  11. 11.Solve: 2p + 17 = 43. What is p?
  12. 12.Lakshmi is 3 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  13. 13.Solve: 7n + 14 = 105. What is n?
  14. 14.Solve: 8m + 21 = 61. What is m?
  15. 15.Gurpreet’s mother is four times as old as Gurpreet. Their ages add up to 35 years. How old is Gurpreet?
  16. 16.Solve: 7(n + 5) = 98. What is n?
  17. 17.Karan is 4 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  18. 18.Solve: 3y − 2 = 7. What is y?
  19. 19.Solve: 2t + 12 = 16. What is t?
  20. 20.Sneha thinks of a number, multiplies it by 4 and then adds 25. The result is 77. What is the number?
  21. 21.Solve: 6y + 28 = 70. What is y?
  22. 22.Solve: 9(n + 3) = 90. What is n?
  23. 23.Solve: 6m + 12 = 54. What is m?
  24. 24.Solve: x/9 + 13 = 24. What is x?
  25. 25.Arjun is 2 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  26. 26.Solve: 6y − 5 = 1. What is y?
  27. 27.Solve: 6(m + 9) = 144. What is m?
  28. 28.Solve: 2x − 5 = 9. What is x?
  29. 29.Solve: 4y − 27 = 5. What is y?
  30. 30.Solve: 2(m + 4) = 34. What is m?
  31. 31.Pooja thinks of a number, multiplies it by 3 and then adds 25. The result is 31. What is the number?
  32. 32.Solve: 7y + 29 = 43. What is y?
  33. 33.Solve: 4x + 14 = 54. What is x?
  34. 34.Solve: t/5 + 5 = 14. What is t?
  35. 35.Solve: 9m − 34 = 101. What is m?
  36. 36.Solve: 9x + 1 = 55. What is x?
  37. 37.Solve: 2n − 1 = 3. What is n?
  38. 38.Lakshmi thinks of a number, multiplies it by 2 and then adds 16. The result is 28. What is the number?
  39. 39.Isha thinks of a number, multiplies it by 2 and then adds 1. The result is 11. What is the number?
  40. 40.Isha thinks of a number, multiplies it by 9 and then adds 28. The result is 46. What is the number?

Answer key

  1. 9
  2. 10
  3. 4
  4. 12
  5. 13
  6. 4
  7. 45
  8. 9
  9. 6
  10. 48
  11. 13
  12. 12
  13. 13
  14. 5
  15. 7
  16. 9
  17. 5
  18. 3
  19. 2
  20. 13
  21. 7
  22. 7
  23. 7
  24. 99
  25. 8
  26. 1
  27. 15
  28. 7
  29. 8
  30. 13
  31. 2
  32. 2
  33. 10
  34. 45
  35. 15
  36. 6
  37. 2
  38. 6
  39. 5
  40. 2

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