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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 86 · 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: 6y + 12 = 96. What is y?
  2. 2.Solve: 7(y + 1) = 70. What is y?
  3. 3.Rahul thinks of a number, multiplies it by 7 and then adds 4. The result is 11. What is the number?
  4. 4.Solve: 6x − 10 = 80. What is x?
  5. 5.Aditya thinks of a number, multiplies it by 4 and then adds 18. The result is 34. What is the number?
  6. 6.Solve: 4n − 26 = 14. What is n?
  7. 7.Lakshmi thinks of a number, multiplies it by 3 and then adds 29. The result is 59. What is the number?
  8. 8.Solve: 2n − 3 = 15. What is n?
  9. 9.Solve: 2m − 4 = 10. What is m?
  10. 10.Solve: 8(p + 4) = 136. What is p?
  11. 11.Solve: 2(x + 2) = 10. What is x?
  12. 12.Solve: 6(t + 5) = 84. What is t?
  13. 13.Solve: 9(m + 4) = 144. What is m?
  14. 14.Solve: y/9 + 12 = 13. What is y?
  15. 15.Solve: 4(t + 5) = 56. What is t?
  16. 16.Solve: 8(p + 4) = 56. What is p?
  17. 17.Solve: 7t − 4 = 3. What is t?
  18. 18.Solve: 6m − 1 = 17. What is m?
  19. 19.Solve: 9p + 18 = 63. What is p?
  20. 20.Solve: 2m − 1 = 1. What is m?
  21. 21.Solve: 6m − 47 = 13. What is m?
  22. 22.Solve: 2t − 4 = 10. What is t?
  23. 23.Sneha is 1 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  24. 24.Vivaan’s mother is twice as old as Vivaan. Their ages add up to 21 years. How old is Vivaan?
  25. 25.Solve: 6m − 41 = 31. What is m?
  26. 26.Meera is 5 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  27. 27.Solve: 7x + 3 = 80. What is x?
  28. 28.Solve: 7(m + 3) = 63. What is m?
  29. 29.Isha’s mother is four times as old as Isha. Their ages add up to 75 years. How old is Isha?
  30. 30.Manav thinks of a number, multiplies it by 4 and then adds 18. The result is 62. What is the number?
  31. 31.Manav thinks of a number, multiplies it by 4 and then adds 20. The result is 60. What is the number?
  32. 32.Solve: 5y − 6 = 49. What is y?
  33. 33.Solve: m/9 + 3 = 4. What is m?
  34. 34.Farhan thinks of a number, multiplies it by 8 and then adds 3. The result is 19. What is the number?
  35. 35.Solve: 3y + 28 = 49. What is y?
  36. 36.Solve: 9x + 9 = 54. What is x?
  37. 37.Solve: 6(x + 9) = 84. What is x?
  38. 38.Solve: 9n + 11 = 146. What is n?
  39. 39.Meera thinks of a number, multiplies it by 6 and then adds 14. The result is 92. What is the number?
  40. 40.Solve: 5(n + 2) = 40. What is n?

Answer key

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

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