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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 392 · 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: 4x + 5 = 57. What is x?
  2. 2.Solve: 7m + 25 = 39. What is m?
  3. 3.Solve: n/2 + 6 = 15. What is n?
  4. 4.Solve: 5x − 3 = 7. What is x?
  5. 5.Ishaan’s mother is four times as old as Ishaan. Their ages add up to 75 years. How old is Ishaan?
  6. 6.Solve: x/3 + 1 = 4. What is x?
  7. 7.Rohan is 7 years older than a cousin. Their ages add up to 37 years. How old is the cousin?
  8. 8.Solve: 9(x + 1) = 72. What is x?
  9. 9.Solve: x/7 + 5 = 7. What is x?
  10. 10.Kabir thinks of a number, multiplies it by 8 and then adds 13. The result is 37. What is the number?
  11. 11.Solve: 8y − 25 = 55. What is y?
  12. 12.Aarav thinks of a number, multiplies it by 3 and then adds 7. The result is 34. What is the number?
  13. 13.Solve: t/6 + 2 = 6. What is t?
  14. 14.Solve: 9n − 57 = 60. What is n?
  15. 15.Nisha thinks of a number, multiplies it by 5 and then adds 4. The result is 44. What is the number?
  16. 16.Solve: m/2 + 9 = 24. What is m?
  17. 17.Solve: 4n + 27 = 67. What is n?
  18. 18.Solve: 7(p + 4) = 84. What is p?
  19. 19.Diya’s mother is three times as old as Diya. Their ages add up to 32 years. How old is Diya?
  20. 20.Solve: y/2 + 20 = 24. What is y?
  21. 21.Solve: p/4 + 15 = 16. What is p?
  22. 22.Aditya thinks of a number, multiplies it by 8 and then adds 26. The result is 42. What is the number?
  23. 23.Solve: 4x − 2 = 14. What is x?
  24. 24.Solve: 8n − 51 = 5. What is n?
  25. 25.Solve: p/9 + 2 = 14. What is p?
  26. 26.Vivaan is 2 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  27. 27.Solve: 6x + 20 = 98. What is x?
  28. 28.Solve: 5(t + 7) = 55. What is t?
  29. 29.Solve: p/7 + 19 = 32. What is p?
  30. 30.Dev thinks of a number, multiplies it by 4 and then adds 5. The result is 9. What is the number?
  31. 31.Joseph’s mother is three times as old as Joseph. Their ages add up to 16 years. How old is Joseph?
  32. 32.Aarav thinks of a number, multiplies it by 3 and then adds 19. The result is 61. What is the number?
  33. 33.Solve: 5x + 9 = 69. What is x?
  34. 34.Kabir is 6 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  35. 35.Solve: 2n + 29 = 45. What is n?
  36. 36.Solve: 8(m + 9) = 104. What is m?
  37. 37.Solve: m/5 + 6 = 14. What is m?
  38. 38.Solve: 5m + 6 = 46. What is m?
  39. 39.Solve: 7n − 15 = 41. What is n?
  40. 40.Meera thinks of a number, multiplies it by 7 and then adds 24. The result is 94. What is the number?

Answer key

  1. 13
  2. 2
  3. 18
  4. 2
  5. 15
  6. 9
  7. 15
  8. 7
  9. 14
  10. 3
  11. 10
  12. 9
  13. 24
  14. 13
  15. 8
  16. 30
  17. 10
  18. 8
  19. 8
  20. 8
  21. 4
  22. 2
  23. 4
  24. 7
  25. 108
  26. 14
  27. 13
  28. 4
  29. 91
  30. 1
  31. 4
  32. 14
  33. 12
  34. 7
  35. 8
  36. 4
  37. 40
  38. 8
  39. 8
  40. 10

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