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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 39 · 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.Rahul thinks of a number, multiplies it by 2 and then adds 27. The result is 31. What is the number?
  2. 2.Solve: 7x − 8 = 55. What is x?
  3. 3.Solve: x/6 + 2 = 12. What is x?
  4. 4.Solve: x/9 + 20 = 26. What is x?
  5. 5.Solve: y/6 + 1 = 10. What is y?
  6. 6.Solve: 5m + 14 = 79. What is m?
  7. 7.Solve: 3x − 1 = 2. What is x?
  8. 8.Gurpreet thinks of a number, multiplies it by 4 and then adds 28. The result is 32. What is the number?
  9. 9.Solve: 4y − 2 = 10. What is y?
  10. 10.Pooja is 1 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  11. 11.Aditya thinks of a number, multiplies it by 2 and then adds 29. The result is 31. What is the number?
  12. 12.Solve: 7(p + 5) = 91. What is p?
  13. 13.Lakshmi is 2 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  14. 14.Solve: 9p − 10 = 8. What is p?
  15. 15.Solve: 9y + 2 = 101. What is y?
  16. 16.Gurpreet’s mother is twice as old as Gurpreet. Their ages add up to 12 years. How old is Gurpreet?
  17. 17.Solve: 5(x + 1) = 75. What is x?
  18. 18.Solve: m/2 + 9 = 11. What is m?
  19. 19.Solve: 5(x + 5) = 95. What is x?
  20. 20.Solve: 3y + 11 = 20. What is y?
  21. 21.Solve: 8p − 42 = 46. What is p?
  22. 22.Solve: 4x + 9 = 53. What is x?
  23. 23.Solve: 7p − 18 = 10. What is p?
  24. 24.Solve: 9y + 2 = 74. What is y?
  25. 25.Solve: 4p − 2 = 2. What is p?
  26. 26.Diya’s mother is four times as old as Diya. Their ages add up to 30 years. How old is Diya?
  27. 27.Saanvi thinks of a number, multiplies it by 6 and then adds 17. The result is 95. What is the number?
  28. 28.Solve: x/3 + 8 = 16. What is x?
  29. 29.Riya thinks of a number, multiplies it by 9 and then adds 1. The result is 19. What is the number?
  30. 30.Aarav is 8 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  31. 31.Solve: m/4 + 12 = 21. What is m?
  32. 32.Solve: 2(m + 7) = 20. What is m?
  33. 33.Solve: 8x − 7 = 25. What is x?
  34. 34.Solve: 8n + 29 = 37. What is n?
  35. 35.Solve: 2n − 7 = 1. What is n?
  36. 36.Kabir’s mother is three times as old as Kabir. Their ages add up to 44 years. How old is Kabir?
  37. 37.Manav is 1 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  38. 38.Dev is 1 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  39. 39.Solve: 3m + 13 = 49. What is m?
  40. 40.Kabir thinks of a number, multiplies it by 4 and then adds 26. The result is 54. What is the number?

Answer key

  1. 2
  2. 9
  3. 60
  4. 54
  5. 54
  6. 13
  7. 1
  8. 1
  9. 3
  10. 10
  11. 1
  12. 8
  13. 6
  14. 2
  15. 11
  16. 4
  17. 14
  18. 4
  19. 14
  20. 3
  21. 11
  22. 11
  23. 4
  24. 8
  25. 1
  26. 6
  27. 13
  28. 24
  29. 2
  30. 7
  31. 36
  32. 3
  33. 4
  34. 1
  35. 4
  36. 11
  37. 15
  38. 6
  39. 12
  40. 7

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