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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 476 · 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/4 + 10 = 12. What is t?
  2. 2.Kabir’s mother is four times as old as Kabir. Their ages add up to 75 years. How old is Kabir?
  3. 3.Solve: 4n + 15 = 23. What is n?
  4. 4.Gurpreet’s mother is twice as old as Gurpreet. Their ages add up to 21 years. How old is Gurpreet?
  5. 5.Solve: 8(t + 9) = 112. What is t?
  6. 6.Solve: 3(t + 3) = 51. What is t?
  7. 7.Rohan thinks of a number, multiplies it by 7 and then adds 25. The result is 32. What is the number?
  8. 8.Solve: 3y + 28 = 52. What is y?
  9. 9.Solve: p/5 + 8 = 13. What is p?
  10. 10.Lakshmi is 1 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  11. 11.Solve: x/4 + 12 = 23. What is x?
  12. 12.Priya’s mother is four times as old as Priya. Their ages add up to 20 years. How old is Priya?
  13. 13.Saanvi’s mother is three times as old as Saanvi. Their ages add up to 44 years. How old is Saanvi?
  14. 14.Aditya thinks of a number, multiplies it by 2 and then adds 4. The result is 10. What is the number?
  15. 15.Solve: 4p − 2 = 6. What is p?
  16. 16.Priya’s mother is three times as old as Priya. Their ages add up to 44 years. How old is Priya?
  17. 17.Ananya thinks of a number, multiplies it by 8 and then adds 24. The result is 32. What is the number?
  18. 18.Solve: 8x + 7 = 79. What is x?
  19. 19.Solve: y/4 + 5 = 14. What is y?
  20. 20.Nisha is 7 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
  21. 21.Solve: 3(p + 6) = 21. What is p?
  22. 22.Priya’s mother is twice as old as Priya. Their ages add up to 18 years. How old is Priya?
  23. 23.Solve: 2x + 6 = 36. What is x?
  24. 24.Meera’s mother is three times as old as Meera. Their ages add up to 24 years. How old is Meera?
  25. 25.Solve: t/4 + 6 = 12. What is t?
  26. 26.Solve: x/3 + 11 = 23. What is x?
  27. 27.Solve: y/9 + 15 = 18. What is y?
  28. 28.Solve: 7t − 25 = 10. What is t?
  29. 29.Rohan’s mother is three times as old as Rohan. Their ages add up to 28 years. How old is Rohan?
  30. 30.Farhan’s mother is twice as old as Farhan. Their ages add up to 18 years. How old is Farhan?
  31. 31.Nisha’s mother is three times as old as Nisha. Their ages add up to 24 years. How old is Nisha?
  32. 32.Meera’s mother is twice as old as Meera. Their ages add up to 45 years. How old is Meera?
  33. 33.Solve: 4y − 9 = 3. What is y?
  34. 34.Vivaan thinks of a number, multiplies it by 2 and then adds 10. The result is 26. What is the number?
  35. 35.Solve: 3t + 7 = 37. What is t?
  36. 36.Solve: 5m + 14 = 49. What is m?
  37. 37.Solve: 4x + 16 = 56. What is x?
  38. 38.Solve: 9y + 12 = 102. What is y?
  39. 39.Solve: 8(x + 2) = 32. What is x?
  40. 40.Manav thinks of a number, multiplies it by 6 and then adds 9. The result is 27. What is the number?

Answer key

  1. 8
  2. 15
  3. 2
  4. 7
  5. 5
  6. 14
  7. 1
  8. 8
  9. 25
  10. 15
  11. 44
  12. 4
  13. 11
  14. 3
  15. 2
  16. 11
  17. 1
  18. 9
  19. 36
  20. 14
  21. 1
  22. 6
  23. 15
  24. 6
  25. 24
  26. 36
  27. 27
  28. 5
  29. 7
  30. 6
  31. 6
  32. 15
  33. 3
  34. 8
  35. 10
  36. 7
  37. 10
  38. 10
  39. 2
  40. 3

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