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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 85 · 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: 3(y + 2) = 21. What is y?
  2. 2.Pooja’s mother is four times as old as Pooja. Their ages add up to 55 years. How old is Pooja?
  3. 3.Dev thinks of a number, multiplies it by 6 and then adds 14. The result is 20. What is the number?
  4. 4.Solve: 2x + 9 = 31. What is x?
  5. 5.Solve: m/4 + 9 = 11. What is m?
  6. 6.Aditya is 3 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  7. 7.Ananya’s mother is three times as old as Ananya. Their ages add up to 48 years. How old is Ananya?
  8. 8.Solve: 6m + 20 = 26. What is m?
  9. 9.Aarav is 2 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  10. 10.Lakshmi’s mother is twice as old as Lakshmi. Their ages add up to 39 years. How old is Lakshmi?
  11. 11.Solve: 9y + 19 = 46. What is y?
  12. 12.Tara thinks of a number, multiplies it by 3 and then adds 16. The result is 22. What is the number?
  13. 13.Solve: x/5 + 8 = 19. What is x?
  14. 14.Solve: 2(x + 1) = 8. What is x?
  15. 15.Solve: 6n − 1 = 35. What is n?
  16. 16.Solve: 9p + 17 = 53. What is p?
  17. 17.Ishaan thinks of a number, multiplies it by 9 and then adds 25. The result is 142. What is the number?
  18. 18.Solve: 7y + 15 = 43. What is y?
  19. 19.Solve: 6x + 11 = 95. What is x?
  20. 20.Solve: 2n − 4 = 10. What is n?
  21. 21.Solve: 8(m + 6) = 144. What is m?
  22. 22.Solve: 3p + 21 = 60. What is p?
  23. 23.Vivaan is 2 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  24. 24.Rahul thinks of a number, multiplies it by 7 and then adds 28. The result is 91. What is the number?
  25. 25.Solve: 8p − 1 = 7. What is p?
  26. 26.Solve: 5y + 29 = 74. What is y?
  27. 27.Solve: t/2 + 7 = 21. What is t?
  28. 28.Solve: 2n − 9 = 5. What is n?
  29. 29.Nisha is 3 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  30. 30.Solve: 7t − 51 = 12. What is t?
  31. 31.Solve: 6n + 25 = 31. What is n?
  32. 32.Zoya thinks of a number, multiplies it by 6 and then adds 8. The result is 98. What is the number?
  33. 33.Solve: 7x − 1 = 27. What is x?
  34. 34.Rohan thinks of a number, multiplies it by 6 and then adds 11. The result is 59. What is the number?
  35. 35.Solve: 7x + 2 = 23. What is x?
  36. 36.Dev thinks of a number, multiplies it by 2 and then adds 15. The result is 45. What is the number?
  37. 37.Solve: 4m + 18 = 34. What is m?
  38. 38.Solve: 6(t + 2) = 102. What is t?
  39. 39.Solve: 6n + 14 = 62. What is n?
  40. 40.Solve: 2(m + 7) = 42. What is m?

Answer key

  1. 5
  2. 11
  3. 1
  4. 11
  5. 8
  6. 7
  7. 12
  8. 1
  9. 9
  10. 13
  11. 3
  12. 2
  13. 55
  14. 3
  15. 6
  16. 4
  17. 13
  18. 4
  19. 14
  20. 7
  21. 12
  22. 13
  23. 8
  24. 9
  25. 1
  26. 9
  27. 28
  28. 7
  29. 5
  30. 9
  31. 1
  32. 15
  33. 4
  34. 8
  35. 3
  36. 15
  37. 4
  38. 15
  39. 8
  40. 14

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