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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 437 · 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: 7y − 25 = 52. What is y?
  2. 2.Solve: 3n + 30 = 66. What is n?
  3. 3.Solve: 2m + 19 = 41. What is m?
  4. 4.Solve: 7y − 22 = 76. What is y?
  5. 5.Ananya thinks of a number, multiplies it by 3 and then adds 14. The result is 44. What is the number?
  6. 6.Solve: 2p + 12 = 24. What is p?
  7. 7.Solve: 9n − 69 = 12. What is n?
  8. 8.Solve: t/2 + 1 = 14. What is t?
  9. 9.Solve: 9x − 110 = 7. What is x?
  10. 10.Meera thinks of a number, multiplies it by 6 and then adds 26. The result is 44. What is the number?
  11. 11.Solve: y/9 + 5 = 10. What is y?
  12. 12.Solve: m/8 + 17 = 21. What is m?
  13. 13.Dev thinks of a number, multiplies it by 2 and then adds 1. The result is 13. What is the number?
  14. 14.Solve: t/6 + 10 = 23. What is t?
  15. 15.Zoya thinks of a number, multiplies it by 2 and then adds 27. The result is 33. What is the number?
  16. 16.Solve: 3x + 3 = 18. What is x?
  17. 17.Solve: 3n − 24 = 12. What is n?
  18. 18.Arjun thinks of a number, multiplies it by 3 and then adds 13. The result is 31. What is the number?
  19. 19.Solve: 7(m + 9) = 84. What is m?
  20. 20.Saanvi’s mother is twice as old as Saanvi. Their ages add up to 21 years. How old is Saanvi?
  21. 21.Aarav’s mother is three times as old as Aarav. Their ages add up to 48 years. How old is Aarav?
  22. 22.Karan is 1 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  23. 23.Solve: 2x + 5 = 11. What is x?
  24. 24.Solve: 7y + 29 = 71. What is y?
  25. 25.Pooja’s mother is four times as old as Pooja. Their ages add up to 25 years. How old is Pooja?
  26. 26.Solve: 3p − 8 = 1. What is p?
  27. 27.Solve: 4t + 2 = 42. What is t?
  28. 28.Priya’s mother is three times as old as Priya. Their ages add up to 48 years. How old is Priya?
  29. 29.Solve: n/4 + 7 = 21. What is n?
  30. 30.Solve: n/5 + 8 = 16. What is n?
  31. 31.Solve: 3(n + 6) = 27. What is n?
  32. 32.Solve: 4n + 21 = 49. What is n?
  33. 33.Solve: 5p − 53 = 12. What is p?
  34. 34.Solve: 9x + 10 = 55. What is x?
  35. 35.Solve: p/8 + 11 = 13. What is p?
  36. 36.Ananya is 5 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  37. 37.Solve: 6(y + 9) = 96. What is y?
  38. 38.Ananya is 8 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  39. 39.Kabir is 1 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  40. 40.Solve: 3(x + 2) = 48. What is x?

Answer key

  1. 11
  2. 12
  3. 11
  4. 14
  5. 10
  6. 6
  7. 9
  8. 26
  9. 13
  10. 3
  11. 45
  12. 32
  13. 6
  14. 78
  15. 3
  16. 5
  17. 12
  18. 6
  19. 3
  20. 7
  21. 12
  22. 5
  23. 3
  24. 6
  25. 5
  26. 3
  27. 10
  28. 12
  29. 56
  30. 40
  31. 3
  32. 7
  33. 13
  34. 5
  35. 16
  36. 7
  37. 7
  38. 4
  39. 15
  40. 14

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