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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 563 · 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: 2n + 19 = 27. What is n?
  2. 2.Rohan thinks of a number, multiplies it by 2 and then adds 4. The result is 18. What is the number?
  3. 3.Solve: m/9 + 16 = 26. What is m?
  4. 4.Solve: 7t − 34 = 1. What is t?
  5. 5.Solve: 9p + 2 = 83. What is p?
  6. 6.Rohan is 3 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  7. 7.Solve: 2x − 16 = 2. What is x?
  8. 8.Solve: n/4 + 6 = 10. What is n?
  9. 9.Ishaan thinks of a number, multiplies it by 7 and then adds 8. The result is 36. What is the number?
  10. 10.Solve: 9y − 62 = 37. What is y?
  11. 11.Solve: 8p − 87 = 17. What is p?
  12. 12.Solve: 2(y + 8) = 38. What is y?
  13. 13.Dev’s mother is three times as old as Dev. Their ages add up to 44 years. How old is Dev?
  14. 14.Dev is 3 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  15. 15.Solve: 2(y + 1) = 30. What is y?
  16. 16.Solve: 6p − 36 = 12. What is p?
  17. 17.Solve: 3y − 10 = 11. What is y?
  18. 18.Saanvi’s mother is twice as old as Saanvi. Their ages add up to 18 years. How old is Saanvi?
  19. 19.Kavya thinks of a number, multiplies it by 6 and then adds 19. The result is 67. What is the number?
  20. 20.Saanvi’s mother is twice as old as Saanvi. Their ages add up to 30 years. How old is Saanvi?
  21. 21.Solve: 3(n + 8) = 63. What is n?
  22. 22.Solve: 6t − 19 = 47. What is t?
  23. 23.Solve: 4(t + 8) = 56. What is t?
  24. 24.Farhan thinks of a number, multiplies it by 3 and then adds 9. The result is 24. What is the number?
  25. 25.Solve: 4m + 2 = 54. What is m?
  26. 26.Solve: 8p + 29 = 133. What is p?
  27. 27.Solve: x/4 + 9 = 23. What is x?
  28. 28.Aditya thinks of a number, multiplies it by 2 and then adds 22. The result is 50. What is the number?
  29. 29.Solve: y/3 + 12 = 23. What is y?
  30. 30.Solve: 6(p + 7) = 66. What is p?
  31. 31.Solve: 2(p + 4) = 10. What is p?
  32. 32.Solve: 3p + 13 = 22. What is p?
  33. 33.Solve: 6n − 79 = 11. What is n?
  34. 34.Solve: x/3 + 19 = 26. What is x?
  35. 35.Solve: 2(m + 3) = 14. What is m?
  36. 36.Solve: 6y − 29 = 19. What is y?
  37. 37.Solve: m/3 + 20 = 24. What is m?
  38. 38.Isha thinks of a number, multiplies it by 6 and then adds 9. The result is 99. What is the number?
  39. 39.Gurpreet thinks of a number, multiplies it by 2 and then adds 27. The result is 45. What is the number?
  40. 40.Rahul’s mother is three times as old as Rahul. Their ages add up to 24 years. How old is Rahul?

Answer key

  1. 4
  2. 7
  3. 90
  4. 5
  5. 9
  6. 6
  7. 9
  8. 16
  9. 4
  10. 11
  11. 13
  12. 11
  13. 11
  14. 11
  15. 14
  16. 8
  17. 7
  18. 6
  19. 8
  20. 10
  21. 13
  22. 11
  23. 6
  24. 5
  25. 13
  26. 13
  27. 56
  28. 14
  29. 33
  30. 4
  31. 1
  32. 3
  33. 15
  34. 21
  35. 4
  36. 8
  37. 12
  38. 15
  39. 9
  40. 6

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