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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 426 · 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: y/8 + 16 = 29. What is y?
  2. 2.Meera thinks of a number, multiplies it by 3 and then adds 23. The result is 62. What is the number?
  3. 3.Aarav thinks of a number, multiplies it by 3 and then adds 9. The result is 30. What is the number?
  4. 4.Solve: t/8 + 18 = 22. What is t?
  5. 5.Solve: 2n − 6 = 4. What is n?
  6. 6.Solve: 5m + 1 = 16. What is m?
  7. 7.Diya thinks of a number, multiplies it by 6 and then adds 26. The result is 32. What is the number?
  8. 8.Solve: 5x + 22 = 27. What is x?
  9. 9.Solve: 9n − 17 = 55. What is n?
  10. 10.Solve: 4y + 5 = 53. What is y?
  11. 11.Solve: x/2 + 2 = 15. What is x?
  12. 12.Zoya thinks of a number, multiplies it by 9 and then adds 25. The result is 160. What is the number?
  13. 13.Solve: 8n + 9 = 129. What is n?
  14. 14.Nisha’s mother is twice as old as Nisha. Their ages add up to 39 years. How old is Nisha?
  15. 15.Solve: 6(t + 5) = 54. What is t?
  16. 16.Solve: 6n + 19 = 43. What is n?
  17. 17.Solve: x/4 + 13 = 23. What is x?
  18. 18.Solve: 5p + 1 = 56. What is p?
  19. 19.Riya thinks of a number, multiplies it by 3 and then adds 20. The result is 53. What is the number?
  20. 20.Solve: 8(m + 9) = 128. What is m?
  21. 21.Solve: t/7 + 18 = 24. What is t?
  22. 22.Karan thinks of a number, multiplies it by 6 and then adds 27. The result is 111. What is the number?
  23. 23.Karan thinks of a number, multiplies it by 2 and then adds 28. The result is 42. What is the number?
  24. 24.Solve: 7y + 19 = 117. What is y?
  25. 25.Solve: 5p − 24 = 1. What is p?
  26. 26.Aditya’s mother is twice as old as Aditya. Their ages add up to 18 years. How old is Aditya?
  27. 27.Rohan is 6 years older than a cousin. Their ages add up to 36 years. How old is the cousin?
  28. 28.Solve: 5(p + 9) = 90. What is p?
  29. 29.Solve: y/6 + 1 = 13. What is y?
  30. 30.Solve: 9x − 30 = 51. What is x?
  31. 31.Solve: 7t − 7 = 35. What is t?
  32. 32.Solve: 4(n + 9) = 72. What is n?
  33. 33.Vivaan is 4 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  34. 34.Solve: 5x − 2 = 3. What is x?
  35. 35.Zoya is 5 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  36. 36.Isha is 1 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  37. 37.Solve: 4m − 9 = 11. What is m?
  38. 38.Solve: 9n + 26 = 35. What is n?
  39. 39.Solve: 7p + 3 = 66. What is p?
  40. 40.Solve: 7t − 41 = 22. What is t?

Answer key

  1. 104
  2. 13
  3. 7
  4. 32
  5. 5
  6. 3
  7. 1
  8. 1
  9. 8
  10. 12
  11. 26
  12. 15
  13. 15
  14. 13
  15. 4
  16. 4
  17. 40
  18. 11
  19. 11
  20. 7
  21. 42
  22. 14
  23. 7
  24. 14
  25. 5
  26. 6
  27. 15
  28. 9
  29. 72
  30. 9
  31. 6
  32. 9
  33. 5
  34. 1
  35. 5
  36. 13
  37. 5
  38. 1
  39. 9
  40. 9

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