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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 708 · 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.Kabir is 5 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
  2. 2.Solve: 8n + 22 = 134. What is n?
  3. 3.Lakshmi thinks of a number, multiplies it by 8 and then adds 27. The result is 131. What is the number?
  4. 4.Solve: t/4 + 17 = 18. What is t?
  5. 5.Solve: 2y − 5 = 19. What is y?
  6. 6.Vivaan thinks of a number, multiplies it by 2 and then adds 6. The result is 8. What is the number?
  7. 7.Solve: 3t − 22 = 5. What is t?
  8. 8.Solve: 4(t + 9) = 40. What is t?
  9. 9.Solve: p/2 + 9 = 14. What is p?
  10. 10.Solve: 2y − 4 = 6. What is y?
  11. 11.Solve: 6x + 8 = 26. What is x?
  12. 12.Solve: 5x + 26 = 56. What is x?
  13. 13.Karan’s mother is twice as old as Karan. Their ages add up to 36 years. How old is Karan?
  14. 14.Joseph is 5 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  15. 15.Solve: 7(y + 4) = 77. What is y?
  16. 16.Solve: 2y − 3 = 9. What is y?
  17. 17.Solve: 4x + 1 = 29. What is x?
  18. 18.Saanvi is 8 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  19. 19.Riya thinks of a number, multiplies it by 9 and then adds 7. The result is 61. What is the number?
  20. 20.Solve: 7p + 18 = 102. What is p?
  21. 21.Solve: 2y − 8 = 18. What is y?
  22. 22.Isha thinks of a number, multiplies it by 9 and then adds 4. The result is 13. What is the number?
  23. 23.Solve: 6x + 21 = 57. What is x?
  24. 24.Solve: 3(y + 5) = 21. What is y?
  25. 25.Solve: x/2 + 14 = 24. What is x?
  26. 26.Meera thinks of a number, multiplies it by 3 and then adds 20. The result is 56. What is the number?
  27. 27.Solve: 2p − 1 = 3. What is p?
  28. 28.Solve: x/2 + 7 = 8. What is x?
  29. 29.Solve: 4(y + 1) = 36. What is y?
  30. 30.Dev thinks of a number, multiplies it by 8 and then adds 16. The result is 96. What is the number?
  31. 31.Solve: 4p − 46 = 6. What is p?
  32. 32.Solve: 8x − 88 = 24. What is x?
  33. 33.Solve: 2m + 2 = 28. What is m?
  34. 34.Sneha thinks of a number, multiplies it by 6 and then adds 3. The result is 69. What is the number?
  35. 35.Solve: 3m − 2 = 1. What is m?
  36. 36.Solve: 7n + 11 = 53. What is n?
  37. 37.Solve: p/5 + 14 = 18. What is p?
  38. 38.Ananya’s mother is four times as old as Ananya. Their ages add up to 55 years. How old is Ananya?
  39. 39.Aarav thinks of a number, multiplies it by 6 and then adds 7. The result is 49. What is the number?
  40. 40.Meera’s mother is four times as old as Meera. Their ages add up to 20 years. How old is Meera?

Answer key

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

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