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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 531 · 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: 7n + 15 = 43. What is n?
  2. 2.Farhan’s mother is twice as old as Farhan. Their ages add up to 42 years. How old is Farhan?
  3. 3.Kavya thinks of a number, multiplies it by 2 and then adds 9. The result is 39. What is the number?
  4. 4.Arjun thinks of a number, multiplies it by 2 and then adds 5. The result is 17. What is the number?
  5. 5.Solve: 9(m + 9) = 99. What is m?
  6. 6.Solve: 8n − 1 = 23. What is n?
  7. 7.Solve: 7(n + 7) = 77. What is n?
  8. 8.Solve: y/7 + 4 = 7. What is y?
  9. 9.Sneha is 7 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
  10. 10.Solve: 2t + 30 = 52. What is t?
  11. 11.Manav thinks of a number, multiplies it by 5 and then adds 16. The result is 76. What is the number?
  12. 12.Solve: x/3 + 13 = 23. What is x?
  13. 13.Solve: 3(n + 8) = 27. What is n?
  14. 14.Solve: 3x + 2 = 17. What is x?
  15. 15.Solve: 7(y + 5) = 140. What is y?
  16. 16.Arjun is 5 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  17. 17.Solve: 6(n + 6) = 102. What is n?
  18. 18.Manav thinks of a number, multiplies it by 3 and then adds 3. The result is 33. What is the number?
  19. 19.Solve: 7t − 75 = 9. What is t?
  20. 20.Solve: 4(m + 3) = 48. What is m?
  21. 21.Solve: x/5 + 18 = 19. What is x?
  22. 22.Gurpreet thinks of a number, multiplies it by 2 and then adds 4. The result is 32. What is the number?
  23. 23.Karan thinks of a number, multiplies it by 2 and then adds 11. The result is 31. What is the number?
  24. 24.Solve: 3x − 26 = 7. What is x?
  25. 25.Arjun’s mother is twice as old as Arjun. Their ages add up to 21 years. How old is Arjun?
  26. 26.Solve: 5(t + 9) = 95. What is t?
  27. 27.Solve: 6n − 1 = 11. What is n?
  28. 28.Lakshmi thinks of a number, multiplies it by 7 and then adds 2. The result is 16. What is the number?
  29. 29.Solve: 3x + 4 = 25. What is x?
  30. 30.Solve: p/7 + 3 = 15. What is p?
  31. 31.Kabir thinks of a number, multiplies it by 8 and then adds 3. The result is 43. What is the number?
  32. 32.Aditya’s mother is three times as old as Aditya. Their ages add up to 52 years. How old is Aditya?
  33. 33.Karan thinks of a number, multiplies it by 8 and then adds 1. The result is 49. What is the number?
  34. 34.Solve: 2m − 2 = 22. What is m?
  35. 35.Solve: 2x + 26 = 44. What is x?
  36. 36.Aditya thinks of a number, multiplies it by 6 and then adds 9. The result is 75. What is the number?
  37. 37.Solve: x/4 + 2 = 10. What is x?
  38. 38.Solve: 2(m + 6) = 30. What is m?
  39. 39.Farhan thinks of a number, multiplies it by 5 and then adds 16. The result is 66. What is the number?
  40. 40.Solve: n/3 + 16 = 22. What is n?

Answer key

  1. 4
  2. 14
  3. 15
  4. 6
  5. 2
  6. 3
  7. 4
  8. 21
  9. 14
  10. 11
  11. 12
  12. 30
  13. 1
  14. 5
  15. 15
  16. 5
  17. 11
  18. 10
  19. 12
  20. 9
  21. 5
  22. 14
  23. 10
  24. 11
  25. 7
  26. 10
  27. 2
  28. 2
  29. 7
  30. 84
  31. 5
  32. 13
  33. 6
  34. 12
  35. 9
  36. 11
  37. 32
  38. 9
  39. 10
  40. 18

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