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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 518 · 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.Isha’s mother is four times as old as Isha. Their ages add up to 25 years. How old is Isha?
  2. 2.Solve: 2y + 3 = 31. What is y?
  3. 3.Solve: 9(x + 6) = 99. What is x?
  4. 4.Solve: 9(p + 6) = 63. What is p?
  5. 5.Solve: y/2 + 7 = 10. What is y?
  6. 6.Riya thinks of a number, multiplies it by 3 and then adds 19. The result is 22. What is the number?
  7. 7.Solve: y/9 + 1 = 7. What is y?
  8. 8.Solve: 8n − 9 = 7. What is n?
  9. 9.Solve: 2x + 3 = 5. What is x?
  10. 10.Solve: 3(p + 6) = 24. What is p?
  11. 11.Solve: 7t + 9 = 86. What is t?
  12. 12.Ishaan is 1 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  13. 13.Karan’s mother is twice as old as Karan. Their ages add up to 24 years. How old is Karan?
  14. 14.Solve: p/2 + 19 = 34. What is p?
  15. 15.Farhan’s mother is three times as old as Farhan. Their ages add up to 28 years. How old is Farhan?
  16. 16.Solve: 4n − 5 = 3. What is n?
  17. 17.Solve: 6(x + 9) = 126. What is x?
  18. 18.Ananya thinks of a number, multiplies it by 4 and then adds 28. The result is 36. What is the number?
  19. 19.Solve: 8(m + 3) = 144. What is m?
  20. 20.Solve: 4n + 15 = 39. What is n?
  21. 21.Zoya thinks of a number, multiplies it by 2 and then adds 10. The result is 34. What is the number?
  22. 22.Solve: 8m − 19 = 21. What is m?
  23. 23.Vivaan thinks of a number, multiplies it by 3 and then adds 7. The result is 16. What is the number?
  24. 24.Solve: 5(n + 9) = 60. What is n?
  25. 25.Solve: 5m + 22 = 67. What is m?
  26. 26.Arjun thinks of a number, multiplies it by 2 and then adds 18. The result is 22. What is the number?
  27. 27.Solve: 6t − 63 = 27. What is t?
  28. 28.Arjun thinks of a number, multiplies it by 2 and then adds 30. The result is 40. What is the number?
  29. 29.Solve: 8m − 18 = 22. What is m?
  30. 30.Lakshmi’s mother is twice as old as Lakshmi. Their ages add up to 15 years. How old is Lakshmi?
  31. 31.Ishaan thinks of a number, multiplies it by 5 and then adds 3. The result is 58. What is the number?
  32. 32.Solve: 3(n + 5) = 36. What is n?
  33. 33.Solve: 4m + 3 = 39. What is m?
  34. 34.Solve: 7x + 25 = 53. What is x?
  35. 35.Solve: 3x − 38 = 7. What is x?
  36. 36.Dev is 6 years older than a cousin. Their ages add up to 36 years. How old is the cousin?
  37. 37.Solve: 4t − 1 = 11. What is t?
  38. 38.Solve: 5n + 26 = 76. What is n?
  39. 39.Rohan thinks of a number, multiplies it by 5 and then adds 4. The result is 39. What is the number?
  40. 40.Solve: p/4 + 9 = 11. What is p?

Answer key

  1. 5
  2. 14
  3. 5
  4. 1
  5. 6
  6. 1
  7. 54
  8. 2
  9. 1
  10. 2
  11. 11
  12. 8
  13. 8
  14. 30
  15. 7
  16. 2
  17. 12
  18. 2
  19. 15
  20. 6
  21. 12
  22. 5
  23. 3
  24. 3
  25. 9
  26. 2
  27. 15
  28. 5
  29. 5
  30. 5
  31. 11
  32. 7
  33. 9
  34. 4
  35. 15
  36. 15
  37. 3
  38. 10
  39. 7
  40. 8

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