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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 816 · 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: 8(y + 2) = 40. What is y?
  2. 2.Zoya is 8 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  3. 3.Sneha thinks of a number, multiplies it by 2 and then adds 20. The result is 44. What is the number?
  4. 4.Kabir is 1 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  5. 5.Solve: 2x + 4 = 24. What is x?
  6. 6.Solve: p/8 + 9 = 17. What is p?
  7. 7.Solve: 9y + 2 = 11. What is y?
  8. 8.Farhan thinks of a number, multiplies it by 5 and then adds 5. The result is 35. What is the number?
  9. 9.Solve: p/7 + 4 = 6. What is p?
  10. 10.Solve: 5p − 47 = 28. What is p?
  11. 11.Solve: 8(n + 9) = 128. What is n?
  12. 12.Solve: 9m + 23 = 86. What is m?
  13. 13.Karan’s mother is three times as old as Karan. Their ages add up to 56 years. How old is Karan?
  14. 14.Aarav’s mother is three times as old as Aarav. Their ages add up to 32 years. How old is Aarav?
  15. 15.Arjun’s mother is three times as old as Arjun. Their ages add up to 16 years. How old is Arjun?
  16. 16.Joseph thinks of a number, multiplies it by 4 and then adds 9. The result is 57. What is the number?
  17. 17.Solve: 7t + 24 = 31. What is t?
  18. 18.Aarav thinks of a number, multiplies it by 2 and then adds 9. The result is 29. What is the number?
  19. 19.Solve: 7n − 59 = 39. What is n?
  20. 20.Solve: 4(p + 9) = 84. What is p?
  21. 21.Solve: x/5 + 19 = 20. What is x?
  22. 22.Solve: 6(x + 5) = 102. What is x?
  23. 23.Vivaan thinks of a number, multiplies it by 5 and then adds 27. The result is 37. What is the number?
  24. 24.Solve: 5n − 3 = 2. What is n?
  25. 25.Solve: 8(p + 3) = 144. What is p?
  26. 26.Solve: 4p + 15 = 39. What is p?
  27. 27.Solve: 5y + 4 = 9. What is y?
  28. 28.Solve: 7(y + 5) = 112. What is y?
  29. 29.Meera thinks of a number, multiplies it by 2 and then adds 8. The result is 38. What is the number?
  30. 30.Solve: p/3 + 7 = 19. What is p?
  31. 31.Solve: 2p + 21 = 41. What is p?
  32. 32.Solve: y/2 + 4 = 17. What is y?
  33. 33.Solve: 9(n + 3) = 117. What is n?
  34. 34.Solve: 6t − 22 = 62. What is t?
  35. 35.Solve: 5n − 46 = 4. What is n?
  36. 36.Solve: p/7 + 10 = 18. What is p?
  37. 37.Rahul thinks of a number, multiplies it by 9 and then adds 7. The result is 133. What is the number?
  38. 38.Diya thinks of a number, multiplies it by 5 and then adds 16. The result is 71. What is the number?
  39. 39.Solve: 6(n + 1) = 48. What is n?
  40. 40.Solve: 9n − 22 = 5. What is n?

Answer key

  1. 3
  2. 7
  3. 12
  4. 6
  5. 10
  6. 64
  7. 1
  8. 6
  9. 14
  10. 15
  11. 7
  12. 7
  13. 14
  14. 8
  15. 4
  16. 12
  17. 1
  18. 10
  19. 14
  20. 12
  21. 5
  22. 12
  23. 2
  24. 1
  25. 15
  26. 6
  27. 1
  28. 11
  29. 15
  30. 36
  31. 10
  32. 26
  33. 10
  34. 14
  35. 10
  36. 56
  37. 14
  38. 11
  39. 7
  40. 3

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