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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 440 · 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.Karan thinks of a number, multiplies it by 4 and then adds 16. The result is 32. What is the number?
  2. 2.Rohan is 5 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  3. 3.Saanvi thinks of a number, multiplies it by 3 and then adds 3. The result is 27. What is the number?
  4. 4.Solve: n/8 + 3 = 5. What is n?
  5. 5.Ananya thinks of a number, multiplies it by 5 and then adds 6. The result is 81. What is the number?
  6. 6.Saanvi’s mother is three times as old as Saanvi. Their ages add up to 24 years. How old is Saanvi?
  7. 7.Solve: 3(y + 4) = 39. What is y?
  8. 8.Ananya thinks of a number, multiplies it by 4 and then adds 17. The result is 49. What is the number?
  9. 9.Dev thinks of a number, multiplies it by 6 and then adds 4. The result is 94. What is the number?
  10. 10.Joseph’s mother is three times as old as Joseph. Their ages add up to 52 years. How old is Joseph?
  11. 11.Solve: y/9 + 13 = 23. What is y?
  12. 12.Meera is 1 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  13. 13.Solve: 3m + 2 = 5. What is m?
  14. 14.Solve: 4(m + 2) = 52. What is m?
  15. 15.Solve: 5y − 13 = 62. What is y?
  16. 16.Solve: 4n − 31 = 25. What is n?
  17. 17.Solve: 4p − 11 = 17. What is p?
  18. 18.Solve: 5x − 4 = 21. What is x?
  19. 19.Solve: 7(t + 4) = 84. What is t?
  20. 20.Solve: 8t + 27 = 59. What is t?
  21. 21.Zoya’s mother is four times as old as Zoya. Their ages add up to 40 years. How old is Zoya?
  22. 22.Solve: 3y + 27 = 30. What is y?
  23. 23.Solve: 8(x + 4) = 56. What is x?
  24. 24.Ishaan’s mother is four times as old as Ishaan. Their ages add up to 70 years. How old is Ishaan?
  25. 25.Solve: x/7 + 5 = 14. What is x?
  26. 26.Manav thinks of a number, multiplies it by 4 and then adds 2. The result is 46. What is the number?
  27. 27.Solve: 2t + 16 = 42. What is t?
  28. 28.Solve: n/5 + 6 = 13. What is n?
  29. 29.Solve: x/2 + 10 = 21. What is x?
  30. 30.Meera is 2 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  31. 31.Aarav thinks of a number, multiplies it by 6 and then adds 25. The result is 43. What is the number?
  32. 32.Solve: 8(p + 2) = 24. What is p?
  33. 33.Aditya thinks of a number, multiplies it by 2 and then adds 18. The result is 40. What is the number?
  34. 34.Solve: 2y + 14 = 26. What is y?
  35. 35.Pooja thinks of a number, multiplies it by 3 and then adds 25. The result is 40. What is the number?
  36. 36.Solve: 2m − 1 = 1. What is m?
  37. 37.Solve: 2n + 12 = 42. What is n?
  38. 38.Solve: 5t − 9 = 6. What is t?
  39. 39.Solve: 3(m + 9) = 45. What is m?
  40. 40.Meera thinks of a number, multiplies it by 7 and then adds 13. The result is 97. What is the number?

Answer key

  1. 4
  2. 7
  3. 8
  4. 16
  5. 15
  6. 6
  7. 9
  8. 8
  9. 15
  10. 13
  11. 90
  12. 13
  13. 1
  14. 11
  15. 15
  16. 14
  17. 7
  18. 5
  19. 8
  20. 4
  21. 8
  22. 1
  23. 3
  24. 14
  25. 63
  26. 11
  27. 13
  28. 35
  29. 22
  30. 10
  31. 3
  32. 1
  33. 11
  34. 6
  35. 5
  36. 1
  37. 15
  38. 3
  39. 6
  40. 12

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