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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 742 · 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: 5x − 4 = 51. What is x?
  2. 2.Isha’s mother is twice as old as Isha. Their ages add up to 27 years. How old is Isha?
  3. 3.Solve: 9(x + 2) = 153. What is x?
  4. 4.Diya thinks of a number, multiplies it by 6 and then adds 20. The result is 92. What is the number?
  5. 5.Solve: 4x − 9 = 35. What is x?
  6. 6.Solve: m/2 + 15 = 27. What is m?
  7. 7.Solve: 3t + 20 = 26. What is t?
  8. 8.Priya thinks of a number, multiplies it by 7 and then adds 21. The result is 49. What is the number?
  9. 9.Solve: 2x + 3 = 11. What is x?
  10. 10.Aditya thinks of a number, multiplies it by 9 and then adds 18. The result is 99. What is the number?
  11. 11.Solve: 9(t + 5) = 54. What is t?
  12. 12.Solve: 6y − 46 = 26. What is y?
  13. 13.Solve: x/8 + 13 = 14. What is x?
  14. 14.Solve: 2m − 1 = 1. What is m?
  15. 15.Isha thinks of a number, multiplies it by 8 and then adds 23. The result is 47. What is the number?
  16. 16.Solve: 2x − 2 = 2. What is x?
  17. 17.Solve: 7(x + 3) = 126. What is x?
  18. 18.Solve: 9y − 20 = 61. What is y?
  19. 19.Kabir’s mother is twice as old as Kabir. Their ages add up to 18 years. How old is Kabir?
  20. 20.Meera is 1 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  21. 21.Solve: 3(m + 7) = 54. What is m?
  22. 22.Solve: 4t − 7 = 13. What is t?
  23. 23.Solve: 6n − 1 = 5. What is n?
  24. 24.Solve: 4p − 48 = 4. What is p?
  25. 25.Solve: 4y + 12 = 44. What is y?
  26. 26.Solve: 5p − 6 = 19. What is p?
  27. 27.Solve: 9y + 9 = 54. What is y?
  28. 28.Solve: m/2 + 3 = 14. What is m?
  29. 29.Solve: y/2 + 16 = 17. What is y?
  30. 30.Solve: 4y + 19 = 27. What is y?
  31. 31.Solve: 3(t + 6) = 57. What is t?
  32. 32.Manav thinks of a number, multiplies it by 5 and then adds 1. The result is 16. What is the number?
  33. 33.Solve: 2x − 1 = 1. What is x?
  34. 34.Lakshmi’s mother is twice as old as Lakshmi. Their ages add up to 36 years. How old is Lakshmi?
  35. 35.Solve: 7t + 7 = 98. What is t?
  36. 36.Solve: 3(n + 2) = 45. What is n?
  37. 37.Solve: m/4 + 3 = 4. What is m?
  38. 38.Solve: 7t + 30 = 72. What is t?
  39. 39.Ishaan is 7 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  40. 40.Solve: 8(x + 3) = 32. What is x?

Answer key

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

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