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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 339 · 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: 9(p + 1) = 36. What is p?
  2. 2.Solve: 2p − 17 = 9. What is p?
  3. 3.Solve: 4(t + 2) = 12. What is t?
  4. 4.Solve: 9n − 10 = 8. What is n?
  5. 5.Diya thinks of a number, multiplies it by 4 and then adds 21. The result is 81. What is the number?
  6. 6.Solve: 9n − 24 = 12. What is n?
  7. 7.Solve: 6x − 59 = 13. What is x?
  8. 8.Solve: 2m − 8 = 16. What is m?
  9. 9.Isha thinks of a number, multiplies it by 6 and then adds 9. The result is 75. What is the number?
  10. 10.Solve: 5n − 7 = 18. What is n?
  11. 11.Solve: 8y + 21 = 61. What is y?
  12. 12.Gurpreet’s mother is four times as old as Gurpreet. Their ages add up to 65 years. How old is Gurpreet?
  13. 13.Joseph is 6 years older than a cousin. Their ages add up to 36 years. How old is the cousin?
  14. 14.Solve: 8m + 20 = 36. What is m?
  15. 15.Solve: p/9 + 6 = 20. What is p?
  16. 16.Solve: 3p + 7 = 28. What is p?
  17. 17.Solve: 2(n + 8) = 30. What is n?
  18. 18.Solve: 3(x + 7) = 33. What is x?
  19. 19.Solve: p/7 + 11 = 20. What is p?
  20. 20.Sneha thinks of a number, multiplies it by 2 and then adds 26. The result is 38. What is the number?
  21. 21.Lakshmi is 5 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  22. 22.Solve: 4t − 8 = 8. What is t?
  23. 23.Kabir’s mother is three times as old as Kabir. Their ages add up to 48 years. How old is Kabir?
  24. 24.Solve: 2x + 4 = 12. What is x?
  25. 25.Solve: 2m + 30 = 58. What is m?
  26. 26.Solve: 2(p + 3) = 8. What is p?
  27. 27.Solve: 2t − 10 = 2. What is t?
  28. 28.Solve: 2t + 27 = 55. What is t?
  29. 29.Solve: 8y − 27 = 53. What is y?
  30. 30.Solve: y/7 + 14 = 24. What is y?
  31. 31.Solve: 4(x + 2) = 36. What is x?
  32. 32.Aditya thinks of a number, multiplies it by 3 and then adds 22. The result is 55. What is the number?
  33. 33.Lakshmi is 2 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  34. 34.Solve: 2p − 1 = 1. What is p?
  35. 35.Solve: 9n + 16 = 124. What is n?
  36. 36.Ananya is 2 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  37. 37.Aarav thinks of a number, multiplies it by 3 and then adds 8. The result is 20. What is the number?
  38. 38.Solve: 2y − 5 = 3. What is y?
  39. 39.Joseph’s mother is twice as old as Joseph. Their ages add up to 33 years. How old is Joseph?
  40. 40.Aditya’s mother is four times as old as Aditya. Their ages add up to 70 years. How old is Aditya?

Answer key

  1. 3
  2. 13
  3. 1
  4. 2
  5. 15
  6. 4
  7. 12
  8. 12
  9. 11
  10. 5
  11. 5
  12. 13
  13. 15
  14. 2
  15. 126
  16. 7
  17. 7
  18. 4
  19. 63
  20. 6
  21. 12
  22. 4
  23. 12
  24. 4
  25. 14
  26. 1
  27. 6
  28. 14
  29. 10
  30. 70
  31. 7
  32. 11
  33. 5
  34. 1
  35. 12
  36. 7
  37. 4
  38. 4
  39. 11
  40. 14

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