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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 705 · 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: 5x + 4 = 24. What is x?
  2. 2.Meera is 4 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  3. 3.Solve: 5y + 5 = 55. What is y?
  4. 4.Kabir’s mother is twice as old as Kabir. Their ages add up to 30 years. How old is Kabir?
  5. 5.Aarav thinks of a number, multiplies it by 6 and then adds 28. The result is 52. What is the number?
  6. 6.Solve: 2x − 15 = 15. What is x?
  7. 7.Karan thinks of a number, multiplies it by 8 and then adds 2. The result is 34. What is the number?
  8. 8.Solve: 8m − 65 = 15. What is m?
  9. 9.Kabir thinks of a number, multiplies it by 4 and then adds 12. The result is 40. What is the number?
  10. 10.Solve: p/6 + 5 = 12. What is p?
  11. 11.Solve: 4p + 9 = 25. What is p?
  12. 12.Solve: 2x − 2 = 22. What is x?
  13. 13.Solve: 6y − 34 = 26. What is y?
  14. 14.Sneha thinks of a number, multiplies it by 8 and then adds 22. The result is 86. What is the number?
  15. 15.Solve: 4(t + 3) = 16. What is t?
  16. 16.Manav thinks of a number, multiplies it by 2 and then adds 18. The result is 32. What is the number?
  17. 17.Solve: 8m − 19 = 101. What is m?
  18. 18.Solve: 2p − 9 = 3. What is p?
  19. 19.Solve: x/3 + 10 = 14. What is x?
  20. 20.Isha thinks of a number, multiplies it by 4 and then adds 19. The result is 47. What is the number?
  21. 21.Solve: 2p + 15 = 17. What is p?
  22. 22.Kabir is 6 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  23. 23.Solve: 5m − 14 = 21. What is m?
  24. 24.Solve: 5x + 29 = 89. What is x?
  25. 25.Solve: 9t + 4 = 112. What is t?
  26. 26.Solve: 4y − 14 = 2. What is y?
  27. 27.Solve: 4n + 14 = 54. What is n?
  28. 28.Solve: 2p − 17 = 9. What is p?
  29. 29.Solve: 4p − 3 = 21. What is p?
  30. 30.Solve: x/9 + 14 = 17. What is x?
  31. 31.Solve: 9(x + 2) = 153. What is x?
  32. 32.Solve: 2n + 21 = 23. What is n?
  33. 33.Solve: 9(n + 8) = 135. What is n?
  34. 34.Solve: 7p − 55 = 36. What is p?
  35. 35.Solve: 9(t + 8) = 99. What is t?
  36. 36.Ananya thinks of a number, multiplies it by 6 and then adds 27. The result is 87. What is the number?
  37. 37.Solve: 4(n + 8) = 84. What is n?
  38. 38.Solve: 2(n + 5) = 26. What is n?
  39. 39.Solve: 9(x + 5) = 162. What is x?
  40. 40.Solve: 6y + 12 = 24. What is y?

Answer key

  1. 4
  2. 12
  3. 10
  4. 10
  5. 4
  6. 15
  7. 4
  8. 10
  9. 7
  10. 42
  11. 4
  12. 12
  13. 10
  14. 8
  15. 1
  16. 7
  17. 15
  18. 6
  19. 12
  20. 7
  21. 1
  22. 12
  23. 7
  24. 12
  25. 12
  26. 4
  27. 10
  28. 13
  29. 6
  30. 27
  31. 15
  32. 1
  33. 7
  34. 13
  35. 3
  36. 10
  37. 13
  38. 8
  39. 13
  40. 2

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