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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 33 · 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: 9t − 3 = 51. What is t?
  2. 2.Solve: 6x − 49 = 17. What is x?
  3. 3.Solve: 7m − 22 = 13. What is m?
  4. 4.Solve: 3(x + 9) = 51. What is x?
  5. 5.Solve: 4t − 9 = 47. What is t?
  6. 6.Dev thinks of a number, multiplies it by 3 and then adds 8. The result is 44. What is the number?
  7. 7.Gurpreet’s mother is three times as old as Gurpreet. Their ages add up to 56 years. How old is Gurpreet?
  8. 8.Solve: 2y + 20 = 36. What is y?
  9. 9.Sneha thinks of a number, multiplies it by 4 and then adds 17. The result is 21. What is the number?
  10. 10.Solve: 2m − 4 = 10. What is m?
  11. 11.Solve: t/5 + 2 = 15. What is t?
  12. 12.Solve: 5y − 61 = 4. What is y?
  13. 13.Aarav thinks of a number, multiplies it by 3 and then adds 14. The result is 35. What is the number?
  14. 14.Solve: 2t − 2 = 4. What is t?
  15. 15.Solve: 7(m + 3) = 56. What is m?
  16. 16.Solve: 7x + 2 = 79. What is x?
  17. 17.Solve: 6t − 6 = 6. What is t?
  18. 18.Solve: 7x − 4 = 3. What is x?
  19. 19.Solve: 2t − 4 = 6. What is t?
  20. 20.Solve: 8m + 25 = 81. What is m?
  21. 21.Priya thinks of a number, multiplies it by 5 and then adds 23. The result is 53. What is the number?
  22. 22.Farhan thinks of a number, multiplies it by 3 and then adds 16. The result is 25. What is the number?
  23. 23.Solve: y/7 + 14 = 18. What is y?
  24. 24.Solve: 2p + 25 = 55. What is p?
  25. 25.Solve: 3m + 1 = 10. What is m?
  26. 26.Rahul thinks of a number, multiplies it by 9 and then adds 14. The result is 41. What is the number?
  27. 27.Solve: 6p + 28 = 100. What is p?
  28. 28.Saanvi is 6 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  29. 29.Diya thinks of a number, multiplies it by 4 and then adds 12. The result is 72. What is the number?
  30. 30.Solve: 4(n + 9) = 44. What is n?
  31. 31.Ishaan thinks of a number, multiplies it by 8 and then adds 18. The result is 122. What is the number?
  32. 32.Solve: 2x + 29 = 59. What is x?
  33. 33.Solve: 7(t + 7) = 77. What is t?
  34. 34.Karan thinks of a number, multiplies it by 6 and then adds 28. The result is 112. What is the number?
  35. 35.Solve: 8p − 56 = 40. What is p?
  36. 36.Solve: 8y + 21 = 141. What is y?
  37. 37.Rohan thinks of a number, multiplies it by 4 and then adds 7. The result is 63. What is the number?
  38. 38.Solve: n/4 + 4 = 19. What is n?
  39. 39.Lakshmi’s mother is twice as old as Lakshmi. Their ages add up to 12 years. How old is Lakshmi?
  40. 40.Lakshmi is 6 years older than a cousin. Their ages add up to 20 years. How old is the cousin?

Answer key

  1. 6
  2. 11
  3. 5
  4. 8
  5. 14
  6. 12
  7. 14
  8. 8
  9. 1
  10. 7
  11. 65
  12. 13
  13. 7
  14. 3
  15. 5
  16. 11
  17. 2
  18. 1
  19. 5
  20. 7
  21. 6
  22. 3
  23. 28
  24. 15
  25. 3
  26. 3
  27. 12
  28. 6
  29. 15
  30. 2
  31. 13
  32. 15
  33. 4
  34. 14
  35. 12
  36. 15
  37. 14
  38. 60
  39. 4
  40. 7

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