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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 617 · 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: 9n − 98 = 10. What is n?
  2. 2.Solve: 7n − 5 = 93. What is n?
  3. 3.Solve: 3t − 38 = 4. What is t?
  4. 4.Diya thinks of a number, multiplies it by 4 and then adds 24. The result is 64. What is the number?
  5. 5.Diya is 3 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  6. 6.Solve: x/9 + 12 = 20. What is x?
  7. 7.Solve: 2x + 2 = 4. What is x?
  8. 8.Solve: n/8 + 9 = 23. What is n?
  9. 9.Solve: 9(x + 5) = 126. What is x?
  10. 10.Solve: 3(x + 6) = 63. What is x?
  11. 11.Solve: 4y + 2 = 18. What is y?
  12. 12.Solve: 4x − 31 = 21. What is x?
  13. 13.Solve: 3(x + 4) = 21. What is x?
  14. 14.Solve: 2t + 6 = 26. What is t?
  15. 15.Rohan thinks of a number, multiplies it by 2 and then adds 28. The result is 36. What is the number?
  16. 16.Aditya’s mother is three times as old as Aditya. Their ages add up to 52 years. How old is Aditya?
  17. 17.Solve: 8(y + 6) = 64. What is y?
  18. 18.Solve: 8y + 28 = 92. What is y?
  19. 19.Solve: 2(x + 8) = 18. What is x?
  20. 20.Ishaan’s mother is four times as old as Ishaan. Their ages add up to 75 years. How old is Ishaan?
  21. 21.Solve: 3y + 7 = 40. What is y?
  22. 22.Kabir thinks of a number, multiplies it by 5 and then adds 19. The result is 34. What is the number?
  23. 23.Solve: 7(p + 6) = 126. What is p?
  24. 24.Solve: 5y + 3 = 53. What is y?
  25. 25.Solve: x/4 + 15 = 27. What is x?
  26. 26.Saanvi thinks of a number, multiplies it by 4 and then adds 6. The result is 62. What is the number?
  27. 27.Solve: 9y − 2 = 25. What is y?
  28. 28.Solve: t/6 + 19 = 28. What is t?
  29. 29.Dev thinks of a number, multiplies it by 2 and then adds 22. The result is 38. What is the number?
  30. 30.Dev is 4 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  31. 31.Riya is 6 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  32. 32.Solve: m/7 + 17 = 32. What is m?
  33. 33.Solve: 6(t + 7) = 84. What is t?
  34. 34.Solve: x/3 + 5 = 18. What is x?
  35. 35.Solve: 6n + 1 = 43. What is n?
  36. 36.Gurpreet thinks of a number, multiplies it by 9 and then adds 30. The result is 102. What is the number?
  37. 37.Solve: p/8 + 5 = 13. What is p?
  38. 38.Dev is 2 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  39. 39.Pooja thinks of a number, multiplies it by 9 and then adds 7. The result is 52. What is the number?
  40. 40.Solve: x/2 + 2 = 12. What is x?

Answer key

  1. 12
  2. 14
  3. 14
  4. 10
  5. 4
  6. 72
  7. 1
  8. 112
  9. 9
  10. 15
  11. 4
  12. 13
  13. 3
  14. 10
  15. 4
  16. 13
  17. 2
  18. 8
  19. 1
  20. 15
  21. 11
  22. 3
  23. 12
  24. 10
  25. 48
  26. 14
  27. 3
  28. 54
  29. 8
  30. 5
  31. 8
  32. 105
  33. 7
  34. 39
  35. 7
  36. 8
  37. 64
  38. 14
  39. 5
  40. 20

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