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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 299 · 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: 7(t + 6) = 56. What is t?
  2. 2.Rahul thinks of a number, multiplies it by 7 and then adds 15. The result is 43. What is the number?
  3. 3.Solve: 7y + 21 = 91. What is y?
  4. 4.Solve: 9n − 43 = 47. What is n?
  5. 5.Solve: 7y − 33 = 16. What is y?
  6. 6.Kabir thinks of a number, multiplies it by 2 and then adds 21. The result is 31. What is the number?
  7. 7.Aditya thinks of a number, multiplies it by 2 and then adds 11. The result is 13. What is the number?
  8. 8.Solve: 2(t + 5) = 30. What is t?
  9. 9.Solve: x/5 + 10 = 11. What is x?
  10. 10.Solve: 2y − 1 = 1. What is y?
  11. 11.Kabir thinks of a number, multiplies it by 3 and then adds 1. The result is 7. What is the number?
  12. 12.Kavya is 4 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  13. 13.Solve: 5(x + 3) = 35. What is x?
  14. 14.Farhan’s mother is four times as old as Farhan. Their ages add up to 70 years. How old is Farhan?
  15. 15.Saanvi is 4 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  16. 16.Priya thinks of a number, multiplies it by 7 and then adds 25. The result is 81. What is the number?
  17. 17.Lakshmi thinks of a number, multiplies it by 4 and then adds 9. The result is 49. What is the number?
  18. 18.Farhan’s mother is three times as old as Farhan. Their ages add up to 20 years. How old is Farhan?
  19. 19.Solve: 3m − 5 = 10. What is m?
  20. 20.Karan thinks of a number, multiplies it by 8 and then adds 29. The result is 133. What is the number?
  21. 21.Solve: 3y + 12 = 54. What is y?
  22. 22.Solve: 3x + 21 = 45. What is x?
  23. 23.Aditya thinks of a number, multiplies it by 4 and then adds 17. The result is 41. What is the number?
  24. 24.Ishaan is 1 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  25. 25.Solve: 8y + 29 = 117. What is y?
  26. 26.Solve: 3m − 1 = 38. What is m?
  27. 27.Solve: 2x + 11 = 35. What is x?
  28. 28.Dev thinks of a number, multiplies it by 5 and then adds 17. The result is 67. What is the number?
  29. 29.Solve: 4y − 17 = 27. What is y?
  30. 30.Solve: 7(p + 3) = 98. What is p?
  31. 31.Solve: 7t − 85 = 13. What is t?
  32. 32.Meera’s mother is twice as old as Meera. Their ages add up to 12 years. How old is Meera?
  33. 33.Solve: 4p − 26 = 18. What is p?
  34. 34.Solve: t/4 + 7 = 18. What is t?
  35. 35.Solve: 6x − 2 = 4. What is x?
  36. 36.Lakshmi’s mother is twice as old as Lakshmi. Their ages add up to 39 years. How old is Lakshmi?
  37. 37.Isha’s mother is twice as old as Isha. Their ages add up to 21 years. How old is Isha?
  38. 38.Solve: 9t − 29 = 16. What is t?
  39. 39.Solve: 9t + 2 = 29. What is t?
  40. 40.Solve: 9t + 11 = 83. What is t?

Answer key

  1. 2
  2. 4
  3. 10
  4. 10
  5. 7
  6. 5
  7. 1
  8. 10
  9. 5
  10. 1
  11. 2
  12. 4
  13. 4
  14. 14
  15. 9
  16. 8
  17. 10
  18. 5
  19. 5
  20. 13
  21. 14
  22. 8
  23. 6
  24. 12
  25. 11
  26. 13
  27. 12
  28. 10
  29. 11
  30. 11
  31. 14
  32. 4
  33. 11
  34. 44
  35. 1
  36. 13
  37. 7
  38. 5
  39. 3
  40. 8

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