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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 804 · 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(m + 5) = 28. What is m?
  2. 2.Solve: 8n − 5 = 67. What is n?
  3. 3.Rohan thinks of a number, multiplies it by 7 and then adds 25. The result is 39. What is the number?
  4. 4.Solve: 6n + 29 = 83. What is n?
  5. 5.Solve: 6(t + 5) = 72. What is t?
  6. 6.Solve: y/5 + 14 = 17. What is y?
  7. 7.Solve: 3x + 20 = 35. What is x?
  8. 8.Solve: t/4 + 3 = 12. What is t?
  9. 9.Farhan thinks of a number, multiplies it by 3 and then adds 23. The result is 50. What is the number?
  10. 10.Solve: p/3 + 4 = 19. What is p?
  11. 11.Solve: 2(y + 2) = 32. What is y?
  12. 12.Solve: 8x − 36 = 4. What is x?
  13. 13.Solve: 8(x + 3) = 128. What is x?
  14. 14.Dev thinks of a number, multiplies it by 4 and then adds 10. The result is 66. What is the number?
  15. 15.Aarav is 3 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  16. 16.Priya is 5 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  17. 17.Kabir thinks of a number, multiplies it by 9 and then adds 22. The result is 130. What is the number?
  18. 18.Solve: 9t + 17 = 98. What is t?
  19. 19.Solve: 4n − 21 = 19. What is n?
  20. 20.Manav is 3 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  21. 21.Solve: 4y + 7 = 27. What is y?
  22. 22.Gurpreet thinks of a number, multiplies it by 9 and then adds 1. The result is 109. What is the number?
  23. 23.Solve: 4t + 1 = 57. What is t?
  24. 24.Riya thinks of a number, multiplies it by 3 and then adds 18. The result is 45. What is the number?
  25. 25.Solve: 7x + 11 = 32. What is x?
  26. 26.Solve: 7m + 8 = 99. What is m?
  27. 27.Solve: 3n − 12 = 21. What is n?
  28. 28.Solve: 8t + 19 = 43. What is t?
  29. 29.Solve: 4x + 23 = 35. What is x?
  30. 30.Aditya thinks of a number, multiplies it by 6 and then adds 16. The result is 28. What is the number?
  31. 31.Solve: 5x + 29 = 74. What is x?
  32. 32.Solve: m/4 + 4 = 7. What is m?
  33. 33.Aarav thinks of a number, multiplies it by 2 and then adds 24. The result is 50. What is the number?
  34. 34.Solve: 5y + 12 = 37. What is y?
  35. 35.Solve: t/4 + 17 = 29. What is t?
  36. 36.Solve: 8n − 1 = 15. What is n?
  37. 37.Solve: 2m + 3 = 7. What is m?
  38. 38.Solve: 4(n + 9) = 80. What is n?
  39. 39.Solve: 6y − 8 = 40. What is y?
  40. 40.Solve: 4t + 14 = 42. What is t?

Answer key

  1. 2
  2. 9
  3. 2
  4. 9
  5. 7
  6. 15
  7. 5
  8. 36
  9. 9
  10. 45
  11. 14
  12. 5
  13. 13
  14. 14
  15. 12
  16. 7
  17. 12
  18. 9
  19. 10
  20. 12
  21. 5
  22. 12
  23. 14
  24. 9
  25. 3
  26. 13
  27. 11
  28. 3
  29. 3
  30. 2
  31. 9
  32. 12
  33. 13
  34. 5
  35. 48
  36. 2
  37. 2
  38. 11
  39. 8
  40. 7

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