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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 230 · 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: 2p + 15 = 33. What is p?
  2. 2.Solve: 6n − 32 = 34. What is n?
  3. 3.Solve: 9t + 30 = 75. What is t?
  4. 4.Solve: 6(p + 5) = 120. What is p?
  5. 5.Lakshmi’s mother is four times as old as Lakshmi. Their ages add up to 20 years. How old is Lakshmi?
  6. 6.Karan thinks of a number, multiplies it by 4 and then adds 14. The result is 50. What is the number?
  7. 7.Solve: x/6 + 5 = 10. What is x?
  8. 8.Aarav thinks of a number, multiplies it by 2 and then adds 26. The result is 54. What is the number?
  9. 9.Ananya thinks of a number, multiplies it by 9 and then adds 27. The result is 72. What is the number?
  10. 10.Solve: 9x − 44 = 1. What is x?
  11. 11.Arjun is 5 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  12. 12.Tara thinks of a number, multiplies it by 7 and then adds 15. The result is 113. What is the number?
  13. 13.Solve: p/5 + 16 = 29. What is p?
  14. 14.Isha’s mother is twice as old as Isha. Their ages add up to 33 years. How old is Isha?
  15. 15.Solve: 4y − 21 = 15. What is y?
  16. 16.Solve: 7x + 18 = 74. What is x?
  17. 17.Rohan thinks of a number, multiplies it by 8 and then adds 4. The result is 28. What is the number?
  18. 18.Solve: 7n + 29 = 36. What is n?
  19. 19.Aditya’s mother is three times as old as Aditya. Their ages add up to 52 years. How old is Aditya?
  20. 20.Rahul’s mother is twice as old as Rahul. Their ages add up to 18 years. How old is Rahul?
  21. 21.Solve: 3n + 14 = 17. What is n?
  22. 22.Ananya’s mother is twice as old as Ananya. Their ages add up to 18 years. How old is Ananya?
  23. 23.Solve: 3p − 2 = 4. What is p?
  24. 24.Kavya is 6 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  25. 25.Solve: 7t + 2 = 23. What is t?
  26. 26.Solve: y/6 + 15 = 16. What is y?
  27. 27.Solve: 3t + 17 = 62. What is t?
  28. 28.Solve: 3t − 6 = 36. What is t?
  29. 29.Isha’s mother is twice as old as Isha. Their ages add up to 15 years. How old is Isha?
  30. 30.Zoya is 4 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  31. 31.Farhan thinks of a number, multiplies it by 7 and then adds 30. The result is 51. What is the number?
  32. 32.Solve: 5t + 13 = 43. What is t?
  33. 33.Joseph thinks of a number, multiplies it by 7 and then adds 4. The result is 53. What is the number?
  34. 34.Solve: x/4 + 6 = 14. What is x?
  35. 35.Rahul is 5 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  36. 36.Solve: 7(n + 6) = 147. What is n?
  37. 37.Arjun’s mother is twice as old as Arjun. Their ages add up to 21 years. How old is Arjun?
  38. 38.Solve: p/7 + 18 = 23. What is p?
  39. 39.Solve: 6t + 19 = 55. What is t?
  40. 40.Isha’s mother is four times as old as Isha. Their ages add up to 65 years. How old is Isha?

Answer key

  1. 9
  2. 11
  3. 5
  4. 15
  5. 4
  6. 9
  7. 30
  8. 14
  9. 5
  10. 5
  11. 4
  12. 14
  13. 65
  14. 11
  15. 9
  16. 8
  17. 3
  18. 1
  19. 13
  20. 6
  21. 1
  22. 6
  23. 2
  24. 13
  25. 3
  26. 6
  27. 15
  28. 14
  29. 5
  30. 7
  31. 3
  32. 6
  33. 7
  34. 32
  35. 6
  36. 15
  37. 7
  38. 35
  39. 6
  40. 13

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