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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 941 · 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.Gurpreet thinks of a number, multiplies it by 7 and then adds 13. The result is 97. What is the number?
  2. 2.Aditya thinks of a number, multiplies it by 5 and then adds 11. The result is 41. What is the number?
  3. 3.Gurpreet is 5 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  4. 4.Solve: 9x − 96 = 30. What is x?
  5. 5.Solve: 3x + 29 = 41. What is x?
  6. 6.Solve: y/3 + 16 = 19. What is y?
  7. 7.Solve: 3(y + 2) = 21. What is y?
  8. 8.Farhan thinks of a number, multiplies it by 7 and then adds 27. The result is 76. What is the number?
  9. 9.Ananya is 3 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  10. 10.Solve: 3(y + 2) = 12. What is y?
  11. 11.Solve: 6t − 4 = 50. What is t?
  12. 12.Solve: 5p − 40 = 10. What is p?
  13. 13.Solve: 5p − 7 = 23. What is p?
  14. 14.Solve: 4y + 9 = 57. What is y?
  15. 15.Solve: 8p − 58 = 14. What is p?
  16. 16.Solve: 9m + 11 = 56. What is m?
  17. 17.Solve: 3y + 26 = 47. What is y?
  18. 18.Solve: 9m − 4 = 14. What is m?
  19. 19.Solve: x/3 + 16 = 25. What is x?
  20. 20.Solve: x/2 + 1 = 16. What is x?
  21. 21.Tara is 3 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  22. 22.Nisha’s mother is twice as old as Nisha. Their ages add up to 42 years. How old is Nisha?
  23. 23.Solve: 9p + 27 = 144. What is p?
  24. 24.Solve: m/4 + 1 = 2. What is m?
  25. 25.Solve: 3(m + 7) = 36. What is m?
  26. 26.Solve: 4p + 24 = 32. What is p?
  27. 27.Solve: 5x − 34 = 21. What is x?
  28. 28.Solve: 6p − 9 = 63. What is p?
  29. 29.Meera thinks of a number, multiplies it by 6 and then adds 13. The result is 61. What is the number?
  30. 30.Solve: 7x + 5 = 12. What is x?
  31. 31.Solve: 8t − 61 = 27. What is t?
  32. 32.Nisha thinks of a number, multiplies it by 3 and then adds 5. The result is 14. What is the number?
  33. 33.Solve: 3y + 3 = 15. What is y?
  34. 34.Kavya’s mother is twice as old as Kavya. Their ages add up to 27 years. How old is Kavya?
  35. 35.Aarav thinks of a number, multiplies it by 9 and then adds 13. The result is 130. What is the number?
  36. 36.Solve: 8(x + 4) = 96. What is x?
  37. 37.Priya thinks of a number, multiplies it by 3 and then adds 4. The result is 25. What is the number?
  38. 38.Lakshmi’s mother is twice as old as Lakshmi. Their ages add up to 12 years. How old is Lakshmi?
  39. 39.Solve: 2(p + 6) = 40. What is p?
  40. 40.Solve: 2p − 3 = 3. What is p?

Answer key

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

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