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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 258 · 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: 4(t + 8) = 52. What is t?
  2. 2.Aarav thinks of a number, multiplies it by 8 and then adds 28. The result is 108. What is the number?
  3. 3.Solve: p/2 + 9 = 18. What is p?
  4. 4.Karan is 8 years older than a cousin. Their ages add up to 38 years. How old is the cousin?
  5. 5.Solve: 2y + 7 = 19. What is y?
  6. 6.Riya’s mother is three times as old as Riya. Their ages add up to 20 years. How old is Riya?
  7. 7.Riya thinks of a number, multiplies it by 6 and then adds 22. The result is 82. What is the number?
  8. 8.Solve: 5y + 26 = 71. What is y?
  9. 9.Solve: 6n − 13 = 71. What is n?
  10. 10.Solve: 5(x + 5) = 65. What is x?
  11. 11.Solve: p/2 + 10 = 15. What is p?
  12. 12.Solve: 8t + 25 = 33. What is t?
  13. 13.Solve: p/7 + 18 = 24. What is p?
  14. 14.Lakshmi’s mother is twice as old as Lakshmi. Their ages add up to 18 years. How old is Lakshmi?
  15. 15.Solve: 9(p + 3) = 72. What is p?
  16. 16.Ishaan’s mother is twice as old as Ishaan. Their ages add up to 33 years. How old is Ishaan?
  17. 17.Solve: 4p + 4 = 28. What is p?
  18. 18.Priya thinks of a number, multiplies it by 5 and then adds 14. The result is 64. What is the number?
  19. 19.Solve: 4t + 19 = 35. What is t?
  20. 20.Solve: 6(x + 2) = 72. What is x?
  21. 21.Arjun thinks of a number, multiplies it by 8 and then adds 27. The result is 51. What is the number?
  22. 22.Solve: 8m − 36 = 68. What is m?
  23. 23.Solve: 6n + 4 = 34. What is n?
  24. 24.Solve: 2n + 26 = 30. What is n?
  25. 25.Arjun thinks of a number, multiplies it by 4 and then adds 19. The result is 63. What is the number?
  26. 26.Solve: y/9 + 2 = 15. What is y?
  27. 27.Solve: 4(x + 7) = 52. What is x?
  28. 28.Saanvi thinks of a number, multiplies it by 6 and then adds 13. The result is 73. What is the number?
  29. 29.Priya is 8 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  30. 30.Solve: n/6 + 5 = 10. What is n?
  31. 31.Solve: 3x + 20 = 47. What is x?
  32. 32.Kavya thinks of a number, multiplies it by 6 and then adds 16. The result is 58. What is the number?
  33. 33.Solve: 7t − 53 = 3. What is t?
  34. 34.Solve: 3m + 30 = 48. What is m?
  35. 35.Gurpreet thinks of a number, multiplies it by 9 and then adds 7. The result is 70. What is the number?
  36. 36.Diya thinks of a number, multiplies it by 3 and then adds 24. The result is 54. What is the number?
  37. 37.Solve: 2(y + 7) = 26. What is y?
  38. 38.Solve: p/6 + 3 = 15. What is p?
  39. 39.Solve: 3n − 17 = 4. What is n?
  40. 40.Solve: m/3 + 4 = 5. What is m?

Answer key

  1. 5
  2. 10
  3. 18
  4. 15
  5. 6
  6. 5
  7. 10
  8. 9
  9. 14
  10. 8
  11. 10
  12. 1
  13. 42
  14. 6
  15. 5
  16. 11
  17. 6
  18. 10
  19. 4
  20. 10
  21. 3
  22. 13
  23. 5
  24. 2
  25. 11
  26. 117
  27. 6
  28. 10
  29. 11
  30. 30
  31. 9
  32. 7
  33. 8
  34. 6
  35. 7
  36. 10
  37. 6
  38. 72
  39. 7
  40. 3

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