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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 514 · 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/4 + 12 = 26. What is y?
  2. 2.Solve: 9(n + 8) = 108. What is n?
  3. 3.Solve: 8t + 5 = 69. What is t?
  4. 4.Solve: 2(n + 3) = 28. What is n?
  5. 5.Solve: 7(t + 7) = 70. What is t?
  6. 6.Kabir is 4 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  7. 7.Solve: 2y + 30 = 34. What is y?
  8. 8.Solve: 7p + 10 = 115. What is p?
  9. 9.Solve: 5n + 25 = 65. What is n?
  10. 10.Solve: 6t − 46 = 8. What is t?
  11. 11.Solve: y/6 + 7 = 11. What is y?
  12. 12.Solve: 7m + 21 = 98. What is m?
  13. 13.Kavya’s mother is four times as old as Kavya. Their ages add up to 25 years. How old is Kavya?
  14. 14.Solve: p/8 + 20 = 22. What is p?
  15. 15.Karan’s mother is twice as old as Karan. Their ages add up to 12 years. How old is Karan?
  16. 16.Lakshmi is 1 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  17. 17.Solve: 7p + 9 = 51. What is p?
  18. 18.Aarav thinks of a number, multiplies it by 4 and then adds 18. The result is 62. What is the number?
  19. 19.Solve: 2x − 3 = 1. What is x?
  20. 20.Solve: 5m − 59 = 16. What is m?
  21. 21.Solve: 6x − 29 = 1. What is x?
  22. 22.Solve: 2n + 6 = 14. What is n?
  23. 23.Solve: 2t − 2 = 22. What is t?
  24. 24.Aarav thinks of a number, multiplies it by 4 and then adds 7. The result is 47. What is the number?
  25. 25.Solve: 9p − 41 = 4. What is p?
  26. 26.Solve: 7(y + 7) = 140. What is y?
  27. 27.Solve: 6(t + 1) = 30. What is t?
  28. 28.Dev thinks of a number, multiplies it by 7 and then adds 9. The result is 65. What is the number?
  29. 29.Ananya thinks of a number, multiplies it by 6 and then adds 30. The result is 96. What is the number?
  30. 30.Solve: 4p − 15 = 17. What is p?
  31. 31.Farhan’s mother is four times as old as Farhan. Their ages add up to 30 years. How old is Farhan?
  32. 32.Solve: 4x − 1 = 31. What is x?
  33. 33.Solve: 2m + 20 = 26. What is m?
  34. 34.Rohan thinks of a number, multiplies it by 9 and then adds 13. The result is 130. What is the number?
  35. 35.Solve: 4(y + 3) = 68. What is y?
  36. 36.Solve: 2(n + 4) = 12. What is n?
  37. 37.Solve: t/9 + 16 = 23. What is t?
  38. 38.Solve: 5t + 7 = 22. What is t?
  39. 39.Solve: 2m − 7 = 13. What is m?
  40. 40.Solve: 6y − 39 = 45. What is y?

Answer key

  1. 56
  2. 4
  3. 8
  4. 11
  5. 3
  6. 10
  7. 2
  8. 15
  9. 8
  10. 9
  11. 24
  12. 11
  13. 5
  14. 16
  15. 4
  16. 14
  17. 6
  18. 11
  19. 2
  20. 15
  21. 5
  22. 4
  23. 12
  24. 10
  25. 5
  26. 13
  27. 4
  28. 8
  29. 11
  30. 8
  31. 6
  32. 8
  33. 3
  34. 13
  35. 14
  36. 2
  37. 63
  38. 3
  39. 10
  40. 14

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