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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 916 · 40 sums
TalentJR

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 + 2 = 51. What is y?
  2. 2.Solve: 5y + 9 = 24. What is y?
  3. 3.Solve: t/2 + 6 = 15. What is t?
  4. 4.Solve: 3n + 19 = 28. What is n?
  5. 5.Isha is 8 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  6. 6.Gurpreet thinks of a number, multiplies it by 4 and then adds 13. The result is 49. What is the number?
  7. 7.Solve: 4t + 17 = 21. What is t?
  8. 8.Solve: 9x + 16 = 34. What is x?
  9. 9.Solve: 5(y + 7) = 50. What is y?
  10. 10.Solve: 4t + 18 = 38. What is t?
  11. 11.Solve: 4t − 12 = 28. What is t?
  12. 12.Solve: 5t + 2 = 62. What is t?
  13. 13.Riya thinks of a number, multiplies it by 7 and then adds 9. The result is 44. What is the number?
  14. 14.Solve: y/4 + 17 = 30. What is y?
  15. 15.Solve: 2x − 1 = 3. What is x?
  16. 16.Solve: 8p − 11 = 29. What is p?
  17. 17.Solve: 3x − 2 = 1. What is x?
  18. 18.Solve: 7y + 7 = 56. What is y?
  19. 19.Solve: 5p + 25 = 55. What is p?
  20. 20.Solve: y/7 + 11 = 23. What is y?
  21. 21.Solve: 4y + 8 = 64. What is y?
  22. 22.Solve: 6y + 30 = 78. What is y?
  23. 23.Solve: 2p + 18 = 24. What is p?
  24. 24.Solve: 3m + 12 = 18. What is m?
  25. 25.Solve: 3y − 13 = 2. What is y?
  26. 26.Solve: 6x − 10 = 26. What is x?
  27. 27.Solve: 7m + 20 = 27. What is m?
  28. 28.Solve: 9y − 12 = 42. What is y?
  29. 29.Solve: m/7 + 7 = 9. What is m?
  30. 30.Dev is 2 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  31. 31.Kabir is 6 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  32. 32.Solve: 9t − 46 = 8. What is t?
  33. 33.Solve: p/5 + 15 = 20. What is p?
  34. 34.Solve: x/4 + 14 = 19. What is x?
  35. 35.Solve: 7n − 4 = 45. What is n?
  36. 36.Isha’s mother is four times as old as Isha. Their ages add up to 30 years. How old is Isha?
  37. 37.Sneha’s mother is three times as old as Sneha. Their ages add up to 28 years. How old is Sneha?
  38. 38.Tara’s mother is twice as old as Tara. Their ages add up to 33 years. How old is Tara?
  39. 39.Solve: p/2 + 1 = 8. What is p?
  40. 40.Solve: 2n + 4 = 26. What is n?

Answer key

  1. 7
  2. 3
  3. 18
  4. 3
  5. 6
  6. 9
  7. 1
  8. 2
  9. 3
  10. 5
  11. 10
  12. 12
  13. 5
  14. 52
  15. 2
  16. 5
  17. 1
  18. 7
  19. 6
  20. 84
  21. 14
  22. 8
  23. 3
  24. 2
  25. 5
  26. 6
  27. 1
  28. 6
  29. 14
  30. 15
  31. 11
  32. 6
  33. 25
  34. 20
  35. 7
  36. 6
  37. 7
  38. 11
  39. 14
  40. 11

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