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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 638 · 40 sums
TalentJR

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.Pooja thinks of a number, multiplies it by 8 and then adds 14. The result is 22. What is the number?
  2. 2.Solve: n/5 + 2 = 7. What is n?
  3. 3.Priya’s mother is three times as old as Priya. Their ages add up to 60 years. How old is Priya?
  4. 4.Kabir thinks of a number, multiplies it by 4 and then adds 19. The result is 67. What is the number?
  5. 5.Solve: 6(n + 7) = 114. What is n?
  6. 6.Solve: x/5 + 2 = 9. What is x?
  7. 7.Solve: n/4 + 2 = 13. What is n?
  8. 8.Solve: t/8 + 14 = 25. What is t?
  9. 9.Riya thinks of a number, multiplies it by 4 and then adds 11. The result is 15. What is the number?
  10. 10.Solve: t/7 + 6 = 21. What is t?
  11. 11.Solve: x/2 + 18 = 25. What is x?
  12. 12.Solve: 3m + 20 = 41. What is m?
  13. 13.Solve: 8y − 27 = 5. What is y?
  14. 14.Solve: x/6 + 6 = 16. What is x?
  15. 15.Solve: 2(t + 9) = 44. What is t?
  16. 16.Solve: 4p + 18 = 22. What is p?
  17. 17.Aditya’s mother is twice as old as Aditya. Their ages add up to 15 years. How old is Aditya?
  18. 18.Solve: 9(y + 2) = 45. What is y?
  19. 19.Solve: 2(y + 9) = 34. What is y?
  20. 20.Solve: n/8 + 20 = 26. What is n?
  21. 21.Solve: 4p + 2 = 62. What is p?
  22. 22.Solve: 3(t + 9) = 48. What is t?
  23. 23.Ishaan thinks of a number, multiplies it by 2 and then adds 6. The result is 20. What is the number?
  24. 24.Solve: m/6 + 4 = 16. What is m?
  25. 25.Solve: 3x + 5 = 29. What is x?
  26. 26.Solve: y/3 + 4 = 11. What is y?
  27. 27.Solve: 2m − 10 = 4. What is m?
  28. 28.Solve: y/8 + 10 = 25. What is y?
  29. 29.Solve: 7y + 27 = 41. What is y?
  30. 30.Joseph thinks of a number, multiplies it by 9 and then adds 25. The result is 70. What is the number?
  31. 31.Priya is 3 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  32. 32.Nisha thinks of a number, multiplies it by 7 and then adds 5. The result is 82. What is the number?
  33. 33.Solve: 7(m + 4) = 126. What is m?
  34. 34.Solve: 8t − 26 = 30. What is t?
  35. 35.Isha is 7 years older than a cousin. Their ages add up to 37 years. How old is the cousin?
  36. 36.Aditya thinks of a number, multiplies it by 3 and then adds 6. The result is 12. What is the number?
  37. 37.Solve: 5x + 30 = 105. What is x?
  38. 38.Solve: y/6 + 10 = 15. What is y?
  39. 39.Vivaan thinks of a number, multiplies it by 9 and then adds 17. The result is 44. What is the number?
  40. 40.Solve: x/6 + 2 = 6. What is x?

Answer key

  1. 1
  2. 25
  3. 15
  4. 12
  5. 12
  6. 35
  7. 44
  8. 88
  9. 1
  10. 105
  11. 14
  12. 7
  13. 4
  14. 60
  15. 13
  16. 1
  17. 5
  18. 3
  19. 8
  20. 48
  21. 15
  22. 7
  23. 7
  24. 72
  25. 8
  26. 21
  27. 7
  28. 120
  29. 2
  30. 5
  31. 8
  32. 11
  33. 14
  34. 7
  35. 15
  36. 2
  37. 15
  38. 30
  39. 3
  40. 24

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