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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 100 · 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.Vivaan thinks of a number, multiplies it by 8 and then adds 28. The result is 68. What is the number?
  2. 2.Zoya thinks of a number, multiplies it by 5 and then adds 21. The result is 36. What is the number?
  3. 3.Solve: 9n + 22 = 31. What is n?
  4. 4.Solve: 2x + 19 = 35. What is x?
  5. 5.Solve: 6x + 9 = 27. What is x?
  6. 6.Lakshmi’s mother is twice as old as Lakshmi. Their ages add up to 12 years. How old is Lakshmi?
  7. 7.Solve: 2n + 9 = 11. What is n?
  8. 8.Solve: 9y − 6 = 12. What is y?
  9. 9.Solve: 9y − 4 = 14. What is y?
  10. 10.Solve: 2n − 1 = 7. What is n?
  11. 11.Karan’s mother is twice as old as Karan. Their ages add up to 36 years. How old is Karan?
  12. 12.Solve: 4p − 11 = 9. What is p?
  13. 13.Isha is 3 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  14. 14.Solve: 9x + 6 = 15. What is x?
  15. 15.Solve: 9(x + 2) = 27. What is x?
  16. 16.Solve: 4(t + 5) = 32. What is t?
  17. 17.Vivaan thinks of a number, multiplies it by 2 and then adds 29. The result is 57. What is the number?
  18. 18.Solve: 2t − 21 = 5. What is t?
  19. 19.Solve: 4m − 32 = 8. What is m?
  20. 20.Solve: 6(m + 1) = 84. What is m?
  21. 21.Farhan thinks of a number, multiplies it by 5 and then adds 1. The result is 36. What is the number?
  22. 22.Solve: 2p + 6 = 16. What is p?
  23. 23.Solve: 9p + 7 = 142. What is p?
  24. 24.Zoya’s mother is three times as old as Zoya. Their ages add up to 24 years. How old is Zoya?
  25. 25.Nisha’s mother is three times as old as Nisha. Their ages add up to 60 years. How old is Nisha?
  26. 26.Solve: t/4 + 3 = 18. What is t?
  27. 27.Solve: 6(t + 5) = 78. What is t?
  28. 28.Solve: x/6 + 16 = 19. What is x?
  29. 29.Ananya thinks of a number, multiplies it by 7 and then adds 8. The result is 85. What is the number?
  30. 30.Aditya thinks of a number, multiplies it by 2 and then adds 27. The result is 35. What is the number?
  31. 31.Solve: t/6 + 12 = 21. What is t?
  32. 32.Solve: 2y + 7 = 29. What is y?
  33. 33.Ananya thinks of a number, multiplies it by 2 and then adds 3. The result is 13. What is the number?
  34. 34.Zoya thinks of a number, multiplies it by 2 and then adds 24. The result is 30. What is the number?
  35. 35.Lakshmi thinks of a number, multiplies it by 2 and then adds 11. The result is 39. What is the number?
  36. 36.Lakshmi thinks of a number, multiplies it by 3 and then adds 14. The result is 59. What is the number?
  37. 37.Solve: 6t + 9 = 21. What is t?
  38. 38.Solve: 5p + 30 = 75. What is p?
  39. 39.Solve: 9m + 19 = 127. What is m?
  40. 40.Solve: p/7 + 12 = 14. What is p?

Answer key

  1. 5
  2. 3
  3. 1
  4. 8
  5. 3
  6. 4
  7. 1
  8. 2
  9. 2
  10. 4
  11. 12
  12. 5
  13. 13
  14. 1
  15. 1
  16. 3
  17. 14
  18. 13
  19. 10
  20. 13
  21. 7
  22. 5
  23. 15
  24. 6
  25. 15
  26. 60
  27. 8
  28. 18
  29. 11
  30. 4
  31. 54
  32. 11
  33. 5
  34. 3
  35. 14
  36. 15
  37. 2
  38. 9
  39. 12
  40. 14

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