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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 338 · 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.Lakshmi’s mother is twice as old as Lakshmi. Their ages add up to 15 years. How old is Lakshmi?
  2. 2.Manav thinks of a number, multiplies it by 4 and then adds 26. The result is 30. What is the number?
  3. 3.Priya thinks of a number, multiplies it by 3 and then adds 9. The result is 42. What is the number?
  4. 4.Solve: x/7 + 3 = 12. What is x?
  5. 5.Solve: 4p − 25 = 7. What is p?
  6. 6.Solve: 4y − 1 = 7. What is y?
  7. 7.Aditya’s mother is three times as old as Aditya. Their ages add up to 16 years. How old is Aditya?
  8. 8.Solve: 3(n + 2) = 27. What is n?
  9. 9.Solve: 6y − 19 = 11. What is y?
  10. 10.Solve: x/8 + 4 = 8. What is x?
  11. 11.Solve: 7m − 9 = 26. What is m?
  12. 12.Solve: 5x − 1 = 4. What is x?
  13. 13.Meera thinks of a number, multiplies it by 3 and then adds 14. The result is 26. What is the number?
  14. 14.Solve: 4m − 13 = 7. What is m?
  15. 15.Solve: y/3 + 2 = 5. What is y?
  16. 16.Karan thinks of a number, multiplies it by 6 and then adds 18. The result is 90. What is the number?
  17. 17.Solve: 2(y + 5) = 32. What is y?
  18. 18.Kabir’s mother is three times as old as Kabir. Their ages add up to 44 years. How old is Kabir?
  19. 19.Solve: 7n − 8 = 6. What is n?
  20. 20.Solve: p/3 + 20 = 24. What is p?
  21. 21.Zoya’s mother is four times as old as Zoya. Their ages add up to 25 years. How old is Zoya?
  22. 22.Solve: x/4 + 5 = 18. What is x?
  23. 23.Solve: 4(y + 5) = 72. What is y?
  24. 24.Manav is 5 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
  25. 25.Solve: 7m + 17 = 24. What is m?
  26. 26.Solve: 3n − 1 = 5. What is n?
  27. 27.Solve: 2m − 9 = 11. What is m?
  28. 28.Solve: 6y + 26 = 104. What is y?
  29. 29.Solve: t/2 + 11 = 24. What is t?
  30. 30.Solve: n/4 + 13 = 20. What is n?
  31. 31.Gurpreet is 3 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  32. 32.Solve: 2n + 3 = 17. What is n?
  33. 33.Aarav is 7 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  34. 34.Solve: x/7 + 17 = 30. What is x?
  35. 35.Arjun thinks of a number, multiplies it by 9 and then adds 20. The result is 101. What is the number?
  36. 36.Solve: 8n − 3 = 13. What is n?
  37. 37.Solve: 4(y + 3) = 32. What is y?
  38. 38.Riya thinks of a number, multiplies it by 8 and then adds 20. The result is 28. What is the number?
  39. 39.Solve: m/6 + 11 = 16. What is m?
  40. 40.Lakshmi thinks of a number, multiplies it by 5 and then adds 30. The result is 65. What is the number?

Answer key

  1. 5
  2. 1
  3. 11
  4. 63
  5. 8
  6. 2
  7. 4
  8. 7
  9. 5
  10. 32
  11. 5
  12. 1
  13. 4
  14. 5
  15. 9
  16. 12
  17. 11
  18. 11
  19. 2
  20. 12
  21. 5
  22. 52
  23. 13
  24. 15
  25. 1
  26. 2
  27. 10
  28. 13
  29. 26
  30. 28
  31. 9
  32. 7
  33. 4
  34. 91
  35. 9
  36. 2
  37. 5
  38. 1
  39. 30
  40. 7

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