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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 797 · 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: y/2 + 5 = 12. What is y?
  2. 2.Solve: 7m − 16 = 33. What is m?
  3. 3.Karan thinks of a number, multiplies it by 7 and then adds 8. The result is 22. What is the number?
  4. 4.Solve: p/7 + 5 = 18. What is p?
  5. 5.Solve: 2(y + 9) = 46. What is y?
  6. 6.Solve: 4p − 30 = 18. What is p?
  7. 7.Solve: 8(t + 7) = 168. What is t?
  8. 8.Solve: 9x + 22 = 76. What is x?
  9. 9.Solve: 8(t + 5) = 104. What is t?
  10. 10.Solve: 6y − 57 = 3. What is y?
  11. 11.Pooja is 8 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  12. 12.Dev’s mother is twice as old as Dev. Their ages add up to 36 years. How old is Dev?
  13. 13.Lakshmi is 8 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  14. 14.Solve: t/5 + 17 = 18. What is t?
  15. 15.Solve: y/2 + 1 = 15. What is y?
  16. 16.Solve: 5t + 23 = 83. What is t?
  17. 17.Solve: x/3 + 4 = 17. What is x?
  18. 18.Solve: t/9 + 3 = 7. What is t?
  19. 19.Kabir is 2 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  20. 20.Aditya thinks of a number, multiplies it by 9 and then adds 29. The result is 164. What is the number?
  21. 21.Solve: y/4 + 1 = 6. What is y?
  22. 22.Solve: 2m − 6 = 6. What is m?
  23. 23.Aditya is 1 years older than a cousin. Their ages add up to 9 years. How old is the cousin?
  24. 24.Solve: 9x − 6 = 3. What is x?
  25. 25.Priya thinks of a number, multiplies it by 4 and then adds 12. The result is 20. What is the number?
  26. 26.Solve: 5x + 12 = 57. What is x?
  27. 27.Ananya thinks of a number, multiplies it by 3 and then adds 1. The result is 40. What is the number?
  28. 28.Arjun is 1 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  29. 29.Solve: y/4 + 7 = 13. What is y?
  30. 30.Solve: 6t − 40 = 32. What is t?
  31. 31.Aarav’s mother is four times as old as Aarav. Their ages add up to 35 years. How old is Aarav?
  32. 32.Solve: 3(x + 1) = 18. What is x?
  33. 33.Solve: 2p + 18 = 44. What is p?
  34. 34.Solve: 9n − 2 = 7. What is n?
  35. 35.Karan thinks of a number, multiplies it by 3 and then adds 2. The result is 41. What is the number?
  36. 36.Manav thinks of a number, multiplies it by 9 and then adds 13. The result is 103. What is the number?
  37. 37.Karan’s mother is three times as old as Karan. Their ages add up to 16 years. How old is Karan?
  38. 38.Vivaan’s mother is twice as old as Vivaan. Their ages add up to 39 years. How old is Vivaan?
  39. 39.Kavya’s mother is twice as old as Kavya. Their ages add up to 24 years. How old is Kavya?
  40. 40.Solve: 2n − 7 = 1. What is n?

Answer key

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

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