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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 960 · 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: y/3 + 9 = 17. What is y?
  2. 2.Solve: x/2 + 10 = 23. What is x?
  3. 3.Solve: 6y + 28 = 76. What is y?
  4. 4.Saanvi thinks of a number, multiplies it by 5 and then adds 12. The result is 37. What is the number?
  5. 5.Solve: 4p − 1 = 31. What is p?
  6. 6.Solve: x/7 + 17 = 20. What is x?
  7. 7.Joseph is 4 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  8. 8.Solve: n/9 + 15 = 24. What is n?
  9. 9.Solve: 6t + 2 = 8. What is t?
  10. 10.Solve: n/4 + 5 = 11. What is n?
  11. 11.Solve: t/3 + 16 = 19. What is t?
  12. 12.Meera is 8 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  13. 13.Solve: x/7 + 1 = 8. What is x?
  14. 14.Solve: 2x + 29 = 31. What is x?
  15. 15.Solve: x/2 + 14 = 27. What is x?
  16. 16.Solve: 7m − 9 = 5. What is m?
  17. 17.Solve: 8n − 11 = 29. What is n?
  18. 18.Solve: 8m + 13 = 101. What is m?
  19. 19.Solve: n/6 + 7 = 17. What is n?
  20. 20.Lakshmi thinks of a number, multiplies it by 4 and then adds 3. The result is 59. What is the number?
  21. 21.Solve: 7x + 20 = 41. What is x?
  22. 22.Solve: y/3 + 5 = 18. What is y?
  23. 23.Solve: 6t + 29 = 101. What is t?
  24. 24.Lakshmi’s mother is three times as old as Lakshmi. Their ages add up to 16 years. How old is Lakshmi?
  25. 25.Solve: 3x + 15 = 39. What is x?
  26. 26.Solve: 8(n + 7) = 136. What is n?
  27. 27.Solve: 3n + 13 = 25. What is n?
  28. 28.Solve: 2y + 7 = 31. What is y?
  29. 29.Solve: 3(x + 4) = 21. What is x?
  30. 30.Solve: 7x − 5 = 23. What is x?
  31. 31.Solve: y/6 + 13 = 26. What is y?
  32. 32.Karan thinks of a number, multiplies it by 4 and then adds 21. The result is 29. What is the number?
  33. 33.Rahul thinks of a number, multiplies it by 4 and then adds 3. The result is 59. What is the number?
  34. 34.Solve: 4y + 26 = 46. What is y?
  35. 35.Meera is 5 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  36. 36.Solve: 3(t + 7) = 63. What is t?
  37. 37.Solve: 2m − 1 = 17. What is m?
  38. 38.Solve: 5m − 2 = 23. What is m?
  39. 39.Solve: 7t + 23 = 79. What is t?
  40. 40.Solve: 3m − 2 = 1. What is m?

Answer key

  1. 24
  2. 26
  3. 8
  4. 5
  5. 8
  6. 21
  7. 10
  8. 81
  9. 1
  10. 24
  11. 9
  12. 13
  13. 49
  14. 1
  15. 26
  16. 2
  17. 5
  18. 11
  19. 60
  20. 14
  21. 3
  22. 39
  23. 12
  24. 4
  25. 8
  26. 10
  27. 4
  28. 12
  29. 3
  30. 4
  31. 78
  32. 2
  33. 14
  34. 5
  35. 6
  36. 14
  37. 9
  38. 5
  39. 8
  40. 1

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