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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 986 · 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: 6x − 38 = 34. What is x?
  2. 2.Zoya’s mother is twice as old as Zoya. Their ages add up to 30 years. How old is Zoya?
  3. 3.Solve: 9p − 43 = 29. What is p?
  4. 4.Solve: 5x + 23 = 53. What is x?
  5. 5.Solve: 2(t + 4) = 28. What is t?
  6. 6.Solve: 8n + 28 = 140. What is n?
  7. 7.Solve: 9(y + 8) = 162. What is y?
  8. 8.Solve: 2x − 1 = 9. What is x?
  9. 9.Isha is 4 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  10. 10.Isha thinks of a number, multiplies it by 9 and then adds 26. The result is 53. What is the number?
  11. 11.Aditya’s mother is four times as old as Aditya. Their ages add up to 75 years. How old is Aditya?
  12. 12.Solve: 8n + 29 = 117. What is n?
  13. 13.Solve: 4y − 4 = 48. What is y?
  14. 14.Rohan is 2 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  15. 15.Solve: 5n + 15 = 40. What is n?
  16. 16.Solve: 6(t + 9) = 84. What is t?
  17. 17.Diya is 1 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  18. 18.Priya’s mother is three times as old as Priya. Their ages add up to 16 years. How old is Priya?
  19. 19.Farhan thinks of a number, multiplies it by 7 and then adds 1. The result is 8. What is the number?
  20. 20.Solve: 7m − 39 = 24. What is m?
  21. 21.Saanvi thinks of a number, multiplies it by 6 and then adds 16. The result is 40. What is the number?
  22. 22.Arjun thinks of a number, multiplies it by 2 and then adds 2. The result is 28. What is the number?
  23. 23.Saanvi’s mother is twice as old as Saanvi. Their ages add up to 36 years. How old is Saanvi?
  24. 24.Solve: y/9 + 13 = 27. What is y?
  25. 25.Nisha’s mother is twice as old as Nisha. Their ages add up to 18 years. How old is Nisha?
  26. 26.Vivaan thinks of a number, multiplies it by 7 and then adds 8. The result is 36. What is the number?
  27. 27.Solve: 6(n + 9) = 66. What is n?
  28. 28.Solve: 4y − 10 = 6. What is y?
  29. 29.Solve: 9(p + 8) = 171. What is p?
  30. 30.Solve: 5t + 5 = 65. What is t?
  31. 31.Dev thinks of a number, multiplies it by 6 and then adds 25. The result is 61. What is the number?
  32. 32.Solve: 2n + 28 = 46. What is n?
  33. 33.Solve: 3t + 22 = 46. What is t?
  34. 34.Solve: p/4 + 2 = 15. What is p?
  35. 35.Solve: n/5 + 19 = 20. What is n?
  36. 36.Solve: 7n − 6 = 1. What is n?
  37. 37.Solve: p/7 + 18 = 28. What is p?
  38. 38.Solve: 8x + 28 = 36. What is x?
  39. 39.Solve: 6(n + 9) = 138. What is n?
  40. 40.Lakshmi thinks of a number, multiplies it by 9 and then adds 25. The result is 97. What is the number?

Answer key

  1. 12
  2. 10
  3. 8
  4. 6
  5. 10
  6. 14
  7. 10
  8. 5
  9. 14
  10. 3
  11. 15
  12. 11
  13. 13
  14. 8
  15. 5
  16. 5
  17. 15
  18. 4
  19. 1
  20. 9
  21. 4
  22. 13
  23. 12
  24. 126
  25. 6
  26. 4
  27. 2
  28. 4
  29. 11
  30. 12
  31. 6
  32. 9
  33. 8
  34. 52
  35. 5
  36. 1
  37. 70
  38. 1
  39. 14
  40. 8

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