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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 484 · 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.Meera thinks of a number, multiplies it by 5 and then adds 17. The result is 52. What is the number?
  2. 2.Solve: p/3 + 10 = 11. What is p?
  3. 3.Solve: 7t + 9 = 44. What is t?
  4. 4.Solve: 8n − 33 = 23. What is n?
  5. 5.Solve: 7(x + 7) = 70. What is x?
  6. 6.Joseph thinks of a number, multiplies it by 4 and then adds 17. The result is 33. What is the number?
  7. 7.Solve: p/6 + 14 = 26. What is p?
  8. 8.Vivaan is 5 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  9. 9.Aarav’s mother is four times as old as Aarav. Their ages add up to 20 years. How old is Aarav?
  10. 10.Solve: 4m + 4 = 40. What is m?
  11. 11.Solve: 9(y + 1) = 45. What is y?
  12. 12.Solve: 6(m + 3) = 96. What is m?
  13. 13.Solve: p/7 + 12 = 25. What is p?
  14. 14.Solve: 3t + 9 = 27. What is t?
  15. 15.Solve: x/5 + 2 = 10. What is x?
  16. 16.Solve: 3n − 6 = 36. What is n?
  17. 17.Aditya thinks of a number, multiplies it by 2 and then adds 21. The result is 49. What is the number?
  18. 18.Solve: 4n − 13 = 23. What is n?
  19. 19.Solve: 5y + 10 = 65. What is y?
  20. 20.Solve: 7y + 27 = 132. What is y?
  21. 21.Gurpreet’s mother is four times as old as Gurpreet. Their ages add up to 20 years. How old is Gurpreet?
  22. 22.Solve: n/5 + 12 = 18. What is n?
  23. 23.Solve: p/3 + 8 = 23. What is p?
  24. 24.Riya thinks of a number, multiplies it by 7 and then adds 28. The result is 91. What is the number?
  25. 25.Kavya thinks of a number, multiplies it by 6 and then adds 1. The result is 85. What is the number?
  26. 26.Solve: 3(p + 5) = 57. What is p?
  27. 27.Manav thinks of a number, multiplies it by 3 and then adds 6. The result is 48. What is the number?
  28. 28.Solve: 7m + 28 = 133. What is m?
  29. 29.Solve: 6t − 9 = 3. What is t?
  30. 30.Solve: 5x + 4 = 69. What is x?
  31. 31.Solve: 9(m + 9) = 216. What is m?
  32. 32.Solve: 6t − 22 = 32. What is t?
  33. 33.Solve: 4(m + 7) = 76. What is m?
  34. 34.Solve: 9t − 91 = 17. What is t?
  35. 35.Solve: 7(y + 3) = 77. What is y?
  36. 36.Rohan thinks of a number, multiplies it by 9 and then adds 27. The result is 81. What is the number?
  37. 37.Solve: 9(m + 1) = 108. What is m?
  38. 38.Solve: 5m + 27 = 82. What is m?
  39. 39.Solve: x/8 + 17 = 29. What is x?
  40. 40.Solve: 2n + 13 = 27. What is n?

Answer key

  1. 7
  2. 3
  3. 5
  4. 7
  5. 3
  6. 4
  7. 72
  8. 8
  9. 4
  10. 9
  11. 4
  12. 13
  13. 91
  14. 6
  15. 40
  16. 14
  17. 14
  18. 9
  19. 11
  20. 15
  21. 4
  22. 30
  23. 45
  24. 9
  25. 14
  26. 14
  27. 14
  28. 15
  29. 2
  30. 13
  31. 15
  32. 9
  33. 12
  34. 12
  35. 8
  36. 6
  37. 11
  38. 11
  39. 96
  40. 7

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