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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 545 · 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.Aarav’s mother is three times as old as Aarav. Their ages add up to 16 years. How old is Aarav?
  2. 2.Solve: y/8 + 15 = 27. What is y?
  3. 3.Solve: y/2 + 18 = 22. What is y?
  4. 4.Aditya’s mother is three times as old as Aditya. Their ages add up to 60 years. How old is Aditya?
  5. 5.Solve: y/4 + 7 = 11. What is y?
  6. 6.Manav’s mother is four times as old as Manav. Their ages add up to 45 years. How old is Manav?
  7. 7.Solve: 8(n + 9) = 88. What is n?
  8. 8.Riya thinks of a number, multiplies it by 2 and then adds 23. The result is 31. What is the number?
  9. 9.Solve: x/8 + 6 = 7. What is x?
  10. 10.Solve: 8(y + 5) = 112. What is y?
  11. 11.Solve: 4t + 3 = 39. What is t?
  12. 12.Solve: 8x − 12 = 108. What is x?
  13. 13.Solve: 9(x + 2) = 153. What is x?
  14. 14.Karan is 6 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  15. 15.Diya thinks of a number, multiplies it by 3 and then adds 28. The result is 49. What is the number?
  16. 16.Solve: 5m − 1 = 24. What is m?
  17. 17.Joseph is 6 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  18. 18.Aarav thinks of a number, multiplies it by 5 and then adds 5. The result is 60. What is the number?
  19. 19.Vivaan’s mother is four times as old as Vivaan. Their ages add up to 30 years. How old is Vivaan?
  20. 20.Solve: 7t − 16 = 12. What is t?
  21. 21.Diya thinks of a number, multiplies it by 8 and then adds 16. The result is 56. What is the number?
  22. 22.Solve: 6y − 8 = 22. What is y?
  23. 23.Solve: y/7 + 12 = 20. What is y?
  24. 24.Solve: p/5 + 7 = 10. What is p?
  25. 25.Solve: 9m − 93 = 42. What is m?
  26. 26.Lakshmi thinks of a number, multiplies it by 5 and then adds 4. The result is 19. What is the number?
  27. 27.Solve: y/6 + 2 = 7. What is y?
  28. 28.Solve: 8(y + 7) = 104. What is y?
  29. 29.Aarav thinks of a number, multiplies it by 7 and then adds 9. The result is 93. What is the number?
  30. 30.Gurpreet is 2 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  31. 31.Diya thinks of a number, multiplies it by 9 and then adds 18. The result is 90. What is the number?
  32. 32.Solve: 5x + 3 = 53. What is x?
  33. 33.Solve: n/4 + 16 = 29. What is n?
  34. 34.Manav thinks of a number, multiplies it by 4 and then adds 19. The result is 23. What is the number?
  35. 35.Ishaan is 1 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  36. 36.Solve: x/5 + 9 = 14. What is x?
  37. 37.Solve: 3m − 13 = 2. What is m?
  38. 38.Solve: n/3 + 13 = 22. What is n?
  39. 39.Ishaan thinks of a number, multiplies it by 2 and then adds 13. The result is 27. What is the number?
  40. 40.Riya’s mother is twice as old as Riya. Their ages add up to 27 years. How old is Riya?

Answer key

  1. 4
  2. 96
  3. 8
  4. 15
  5. 16
  6. 9
  7. 2
  8. 4
  9. 8
  10. 9
  11. 9
  12. 15
  13. 15
  14. 4
  15. 7
  16. 5
  17. 5
  18. 11
  19. 6
  20. 4
  21. 5
  22. 5
  23. 56
  24. 15
  25. 15
  26. 3
  27. 30
  28. 6
  29. 12
  30. 7
  31. 8
  32. 10
  33. 52
  34. 1
  35. 9
  36. 25
  37. 5
  38. 27
  39. 7
  40. 9

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