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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 449 · 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: t/6 + 16 = 26. What is t?
  2. 2.Solve: 7p + 26 = 33. What is p?
  3. 3.Solve: 7y + 23 = 37. What is y?
  4. 4.Solve: 2x − 4 = 6. What is x?
  5. 5.Kabir’s mother is three times as old as Kabir. Their ages add up to 24 years. How old is Kabir?
  6. 6.Solve: 3x − 3 = 27. What is x?
  7. 7.Solve: 5x + 25 = 50. What is x?
  8. 8.Ananya thinks of a number, multiplies it by 4 and then adds 17. The result is 69. What is the number?
  9. 9.Solve: 7t + 29 = 78. What is t?
  10. 10.Solve: 4p − 34 = 22. What is p?
  11. 11.Solve: 2t + 2 = 16. What is t?
  12. 12.Solve: 2m + 14 = 26. What is m?
  13. 13.Karan is 1 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  14. 14.Aditya thinks of a number, multiplies it by 6 and then adds 17. The result is 41. What is the number?
  15. 15.Solve: 3p − 15 = 3. What is p?
  16. 16.Nisha’s mother is four times as old as Nisha. Their ages add up to 75 years. How old is Nisha?
  17. 17.Zoya thinks of a number, multiplies it by 3 and then adds 30. The result is 57. What is the number?
  18. 18.Manav’s mother is four times as old as Manav. Their ages add up to 50 years. How old is Manav?
  19. 19.Solve: y/2 + 12 = 25. What is y?
  20. 20.Vivaan thinks of a number, multiplies it by 6 and then adds 22. The result is 70. What is the number?
  21. 21.Joseph thinks of a number, multiplies it by 2 and then adds 20. The result is 28. What is the number?
  22. 22.Solve: 5(y + 6) = 85. What is y?
  23. 23.Isha thinks of a number, multiplies it by 5 and then adds 24. The result is 49. What is the number?
  24. 24.Isha’s mother is four times as old as Isha. Their ages add up to 30 years. How old is Isha?
  25. 25.Solve: 4(p + 8) = 80. What is p?
  26. 26.Solve: m/3 + 3 = 13. What is m?
  27. 27.Lakshmi’s mother is three times as old as Lakshmi. Their ages add up to 48 years. How old is Lakshmi?
  28. 28.Farhan’s mother is twice as old as Farhan. Their ages add up to 12 years. How old is Farhan?
  29. 29.Solve: 7(x + 9) = 98. What is x?
  30. 30.Solve: 2m + 8 = 32. What is m?
  31. 31.Solve: 4t − 3 = 17. What is t?
  32. 32.Solve: 2m + 27 = 51. What is m?
  33. 33.Solve: p/7 + 1 = 7. What is p?
  34. 34.Solve: 5x + 6 = 31. What is x?
  35. 35.Ananya thinks of a number, multiplies it by 5 and then adds 27. The result is 57. What is the number?
  36. 36.Aditya thinks of a number, multiplies it by 4 and then adds 22. The result is 82. What is the number?
  37. 37.Solve: 3y − 2 = 4. What is y?
  38. 38.Solve: y/8 + 20 = 25. What is y?
  39. 39.Solve: 2y − 21 = 3. What is y?
  40. 40.Solve: 6t + 20 = 50. What is t?

Answer key

  1. 60
  2. 1
  3. 2
  4. 5
  5. 6
  6. 10
  7. 5
  8. 13
  9. 7
  10. 14
  11. 7
  12. 6
  13. 5
  14. 4
  15. 6
  16. 15
  17. 9
  18. 10
  19. 26
  20. 8
  21. 4
  22. 11
  23. 5
  24. 6
  25. 12
  26. 30
  27. 12
  28. 4
  29. 5
  30. 12
  31. 5
  32. 12
  33. 42
  34. 5
  35. 6
  36. 15
  37. 2
  38. 40
  39. 12
  40. 5

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