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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 971 · 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: y/7 + 7 = 18. What is y?
  2. 2.Solve: 3(x + 5) = 27. What is x?
  3. 3.Meera’s mother is twice as old as Meera. Their ages add up to 18 years. How old is Meera?
  4. 4.Solve: 4(n + 5) = 64. What is n?
  5. 5.Solve: 8(p + 1) = 48. What is p?
  6. 6.Solve: 8m − 54 = 10. What is m?
  7. 7.Nisha is 6 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  8. 8.Solve: 4y + 24 = 36. What is y?
  9. 9.Solve: y/5 + 17 = 25. What is y?
  10. 10.Solve: 7(t + 3) = 49. What is t?
  11. 11.Priya thinks of a number, multiplies it by 9 and then adds 4. The result is 103. What is the number?
  12. 12.Solve: 9n − 36 = 27. What is n?
  13. 13.Solve: 3y + 7 = 25. What is y?
  14. 14.Solve: 6y − 8 = 70. What is y?
  15. 15.Solve: 4t − 1 = 15. What is t?
  16. 16.Dev thinks of a number, multiplies it by 3 and then adds 13. The result is 52. What is the number?
  17. 17.Solve: 7(m + 9) = 105. What is m?
  18. 18.Solve: 2x + 17 = 23. What is x?
  19. 19.Solve: 4m − 19 = 29. What is m?
  20. 20.Solve: 2(x + 7) = 18. What is x?
  21. 21.Solve: n/6 + 14 = 29. What is n?
  22. 22.Solve: m/4 + 7 = 16. What is m?
  23. 23.Solve: 2n + 18 = 40. What is n?
  24. 24.Solve: y/5 + 13 = 27. What is y?
  25. 25.Zoya thinks of a number, multiplies it by 3 and then adds 10. The result is 13. What is the number?
  26. 26.Solve: 7t − 41 = 1. What is t?
  27. 27.Aditya is 4 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  28. 28.Aarav is 5 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  29. 29.Solve: 3n − 12 = 24. What is n?
  30. 30.Rahul thinks of a number, multiplies it by 3 and then adds 12. The result is 15. What is the number?
  31. 31.Solve: 5x + 5 = 20. What is x?
  32. 32.Solve: 9y + 8 = 53. What is y?
  33. 33.Solve: 6y + 26 = 38. What is y?
  34. 34.Isha’s mother is twice as old as Isha. Their ages add up to 18 years. How old is Isha?
  35. 35.Solve: x/2 + 9 = 24. What is x?
  36. 36.Arjun thinks of a number, multiplies it by 5 and then adds 22. The result is 82. What is the number?
  37. 37.Solve: n/8 + 11 = 14. What is n?
  38. 38.Solve: 7t + 10 = 45. What is t?
  39. 39.Solve: 5m − 11 = 19. What is m?
  40. 40.Solve: 5p − 32 = 13. What is p?

Answer key

  1. 77
  2. 4
  3. 6
  4. 11
  5. 5
  6. 8
  7. 11
  8. 3
  9. 40
  10. 4
  11. 11
  12. 7
  13. 6
  14. 13
  15. 4
  16. 13
  17. 6
  18. 3
  19. 12
  20. 2
  21. 90
  22. 36
  23. 11
  24. 70
  25. 1
  26. 6
  27. 10
  28. 5
  29. 12
  30. 1
  31. 3
  32. 5
  33. 2
  34. 6
  35. 30
  36. 12
  37. 24
  38. 5
  39. 6
  40. 9

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