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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 111 · 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: 7x − 2 = 33. What is x?
  2. 2.Solve: 4n − 16 = 28. What is n?
  3. 3.Pooja thinks of a number, multiplies it by 5 and then adds 14. The result is 34. What is the number?
  4. 4.Solve: 5p + 25 = 50. What is p?
  5. 5.Solve: 8(p + 6) = 96. What is p?
  6. 6.Solve: p/9 + 2 = 13. What is p?
  7. 7.Solve: 9m + 25 = 61. What is m?
  8. 8.Solve: 3x + 10 = 37. What is x?
  9. 9.Solve: 7(m + 4) = 63. What is m?
  10. 10.Solve: 3m + 23 = 44. What is m?
  11. 11.Solve: 9x − 4 = 41. What is x?
  12. 12.Solve: 3x − 21 = 21. What is x?
  13. 13.Solve: 5p − 1 = 19. What is p?
  14. 14.Meera’s mother is twice as old as Meera. Their ages add up to 33 years. How old is Meera?
  15. 15.Sneha’s mother is twice as old as Sneha. Their ages add up to 21 years. How old is Sneha?
  16. 16.Solve: 8x + 3 = 67. What is x?
  17. 17.Solve: 2m + 26 = 54. What is m?
  18. 18.Solve: 7y + 18 = 25. What is y?
  19. 19.Gurpreet thinks of a number, multiplies it by 7 and then adds 15. The result is 78. What is the number?
  20. 20.Farhan thinks of a number, multiplies it by 9 and then adds 25. The result is 151. What is the number?
  21. 21.Gurpreet’s mother is four times as old as Gurpreet. Their ages add up to 30 years. How old is Gurpreet?
  22. 22.Solve: 7n + 30 = 58. What is n?
  23. 23.Rohan thinks of a number, multiplies it by 5 and then adds 23. The result is 73. What is the number?
  24. 24.Solve: x/3 + 12 = 17. What is x?
  25. 25.Solve: y/2 + 14 = 25. What is y?
  26. 26.Solve: 3(y + 5) = 51. What is y?
  27. 27.Kabir thinks of a number, multiplies it by 5 and then adds 8. The result is 63. What is the number?
  28. 28.Solve: 6(x + 2) = 54. What is x?
  29. 29.Solve: 6y + 1 = 7. What is y?
  30. 30.Solve: 8t + 26 = 34. What is t?
  31. 31.Rahul’s mother is twice as old as Rahul. Their ages add up to 42 years. How old is Rahul?
  32. 32.Solve: 8t − 36 = 44. What is t?
  33. 33.Solve: 8y − 28 = 4. What is y?
  34. 34.Nisha thinks of a number, multiplies it by 3 and then adds 2. The result is 41. What is the number?
  35. 35.Gurpreet is 2 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  36. 36.Sneha is 2 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  37. 37.Solve: 6(x + 6) = 90. What is x?
  38. 38.Arjun’s mother is three times as old as Arjun. Their ages add up to 28 years. How old is Arjun?
  39. 39.Solve: 4(t + 3) = 72. What is t?
  40. 40.Solve: 3p − 1 = 5. What is p?

Answer key

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

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