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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 120 · 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: 9n − 43 = 56. What is n?
  2. 2.Nisha is 1 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  3. 3.Solve: p/5 + 8 = 13. What is p?
  4. 4.Solve: 5n + 27 = 37. What is n?
  5. 5.Solve: 9y + 26 = 161. What is y?
  6. 6.Saanvi’s mother is twice as old as Saanvi. Their ages add up to 30 years. How old is Saanvi?
  7. 7.Saanvi thinks of a number, multiplies it by 9 and then adds 22. The result is 58. What is the number?
  8. 8.Solve: x/2 + 1 = 4. What is x?
  9. 9.Solve: 5m − 9 = 6. What is m?
  10. 10.Solve: 9(x + 2) = 54. What is x?
  11. 11.Solve: 3m + 16 = 55. What is m?
  12. 12.Tara’s mother is three times as old as Tara. Their ages add up to 20 years. How old is Tara?
  13. 13.Solve: 8p + 1 = 113. What is p?
  14. 14.Isha is 6 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  15. 15.Solve: 7y + 4 = 53. What is y?
  16. 16.Solve: 2p − 6 = 16. What is p?
  17. 17.Solve: 5(t + 8) = 110. What is t?
  18. 18.Dev is 1 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  19. 19.Solve: 9(y + 6) = 162. What is y?
  20. 20.Solve: 8y + 7 = 31. What is y?
  21. 21.Solve: 6(x + 8) = 72. What is x?
  22. 22.Ananya thinks of a number, multiplies it by 7 and then adds 29. The result is 57. What is the number?
  23. 23.Solve: 3(x + 1) = 15. What is x?
  24. 24.Solve: y/5 + 13 = 19. What is y?
  25. 25.Solve: 2t − 21 = 9. What is t?
  26. 26.Solve: p/5 + 9 = 12. What is p?
  27. 27.Solve: 4(m + 5) = 36. What is m?
  28. 28.Solve: p/5 + 2 = 7. What is p?
  29. 29.Aarav thinks of a number, multiplies it by 3 and then adds 23. The result is 53. What is the number?
  30. 30.Aditya is 7 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  31. 31.Dev thinks of a number, multiplies it by 4 and then adds 26. The result is 42. What is the number?
  32. 32.Solve: 3p − 22 = 23. What is p?
  33. 33.Solve: 5p + 8 = 33. What is p?
  34. 34.Solve: 7x − 5 = 72. What is x?
  35. 35.Solve: 3p − 18 = 6. What is p?
  36. 36.Solve: t/9 + 10 = 15. What is t?
  37. 37.Solve: 8n + 5 = 13. What is n?
  38. 38.Priya is 8 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  39. 39.Solve: y/9 + 8 = 18. What is y?
  40. 40.Solve: 2x + 27 = 29. What is x?

Answer key

  1. 11
  2. 9
  3. 25
  4. 2
  5. 15
  6. 10
  7. 4
  8. 6
  9. 3
  10. 4
  11. 13
  12. 5
  13. 14
  14. 14
  15. 7
  16. 11
  17. 14
  18. 10
  19. 12
  20. 3
  21. 4
  22. 4
  23. 4
  24. 30
  25. 15
  26. 15
  27. 4
  28. 25
  29. 10
  30. 8
  31. 4
  32. 15
  33. 5
  34. 11
  35. 8
  36. 45
  37. 1
  38. 11
  39. 90
  40. 1

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