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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 222 · 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: 8t + 12 = 36. What is t?
  2. 2.Solve: 5t + 12 = 62. What is t?
  3. 3.Kabir’s mother is twice as old as Kabir. Their ages add up to 30 years. How old is Kabir?
  4. 4.Solve: 6(t + 6) = 42. What is t?
  5. 5.Solve: 4p + 11 = 67. What is p?
  6. 6.Karan thinks of a number, multiplies it by 6 and then adds 26. The result is 116. What is the number?
  7. 7.Solve: 6p − 48 = 36. What is p?
  8. 8.Solve: m/4 + 4 = 7. What is m?
  9. 9.Solve: 2p + 16 = 18. What is p?
  10. 10.Ishaan thinks of a number, multiplies it by 8 and then adds 4. The result is 92. What is the number?
  11. 11.Solve: 2(x + 7) = 42. What is x?
  12. 12.Solve: 3(m + 8) = 57. What is m?
  13. 13.Solve: 6(m + 7) = 72. What is m?
  14. 14.Solve: 2m + 5 = 11. What is m?
  15. 15.Solve: 9n − 64 = 44. What is n?
  16. 16.Dev thinks of a number, multiplies it by 4 and then adds 7. The result is 11. What is the number?
  17. 17.Solve: 3x − 1 = 8. What is x?
  18. 18.Solve: 2n + 29 = 49. What is n?
  19. 19.Tara thinks of a number, multiplies it by 5 and then adds 22. The result is 37. What is the number?
  20. 20.Solve: 5(n + 1) = 35. What is n?
  21. 21.Solve: 9n + 1 = 28. What is n?
  22. 22.Solve: 4p + 15 = 47. What is p?
  23. 23.Solve: 2y + 15 = 21. What is y?
  24. 24.Tara’s mother is four times as old as Tara. Their ages add up to 45 years. How old is Tara?
  25. 25.Karan thinks of a number, multiplies it by 5 and then adds 8. The result is 78. What is the number?
  26. 26.Solve: 4(x + 1) = 24. What is x?
  27. 27.Solve: 3y − 17 = 13. What is y?
  28. 28.Solve: 9(m + 5) = 162. What is m?
  29. 29.Solve: 3(p + 7) = 57. What is p?
  30. 30.Solve: 3(t + 7) = 66. What is t?
  31. 31.Aarav thinks of a number, multiplies it by 3 and then adds 17. The result is 41. What is the number?
  32. 32.Riya is 3 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  33. 33.Solve: t/3 + 12 = 15. What is t?
  34. 34.Solve: 3(t + 5) = 51. What is t?
  35. 35.Solve: 2(t + 2) = 22. What is t?
  36. 36.Solve: 6m − 10 = 56. What is m?
  37. 37.Solve: p/5 + 6 = 9. What is p?
  38. 38.Solve: 5y + 24 = 79. What is y?
  39. 39.Ishaan thinks of a number, multiplies it by 7 and then adds 3. The result is 24. What is the number?
  40. 40.Solve: 8y − 5 = 3. What is y?

Answer key

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

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