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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 775 · 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: p/3 + 2 = 6. What is p?
  2. 2.Solve: 2x + 2 = 22. What is x?
  3. 3.Solve: t/9 + 8 = 21. What is t?
  4. 4.Solve: 3(p + 2) = 15. What is p?
  5. 5.Farhan thinks of a number, multiplies it by 2 and then adds 11. The result is 17. What is the number?
  6. 6.Riya is 8 years older than a cousin. Their ages add up to 38 years. How old is the cousin?
  7. 7.Isha’s mother is twice as old as Isha. Their ages add up to 30 years. How old is Isha?
  8. 8.Solve: 5n + 18 = 38. What is n?
  9. 9.Solve: 7n + 2 = 16. What is n?
  10. 10.Solve: n/4 + 5 = 10. What is n?
  11. 11.Solve: 2n + 18 = 46. What is n?
  12. 12.Solve: 5t + 4 = 59. What is t?
  13. 13.Solve: 7(y + 8) = 77. What is y?
  14. 14.Tara’s mother is twice as old as Tara. Their ages add up to 12 years. How old is Tara?
  15. 15.Diya’s mother is four times as old as Diya. Their ages add up to 30 years. How old is Diya?
  16. 16.Solve: 2(x + 4) = 38. What is x?
  17. 17.Isha’s mother is three times as old as Isha. Their ages add up to 16 years. How old is Isha?
  18. 18.Solve: t/7 + 9 = 12. What is t?
  19. 19.Solve: 3m − 1 = 2. What is m?
  20. 20.Kabir is 6 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  21. 21.Rohan thinks of a number, multiplies it by 2 and then adds 12. The result is 40. What is the number?
  22. 22.Solve: 6(m + 5) = 102. What is m?
  23. 23.Solve: t/8 + 15 = 19. What is t?
  24. 24.Solve: 3m + 5 = 38. What is m?
  25. 25.Tara’s mother is four times as old as Tara. Their ages add up to 75 years. How old is Tara?
  26. 26.Farhan thinks of a number, multiplies it by 5 and then adds 1. The result is 51. What is the number?
  27. 27.Lakshmi thinks of a number, multiplies it by 7 and then adds 22. The result is 127. What is the number?
  28. 28.Diya thinks of a number, multiplies it by 3 and then adds 21. The result is 54. What is the number?
  29. 29.Solve: 9(x + 3) = 45. What is x?
  30. 30.Solve: 7y + 14 = 63. What is y?
  31. 31.Solve: 7(x + 3) = 49. What is x?
  32. 32.Solve: 7(x + 1) = 63. What is x?
  33. 33.Arjun’s mother is four times as old as Arjun. Their ages add up to 20 years. How old is Arjun?
  34. 34.Solve: x/4 + 6 = 12. What is x?
  35. 35.Ananya’s mother is twice as old as Ananya. Their ages add up to 24 years. How old is Ananya?
  36. 36.Solve: m/9 + 17 = 18. What is m?
  37. 37.Solve: 7x + 8 = 43. What is x?
  38. 38.Solve: 2t + 24 = 32. What is t?
  39. 39.Pooja’s mother is twice as old as Pooja. Their ages add up to 39 years. How old is Pooja?
  40. 40.Solve: 2(n + 3) = 12. What is n?

Answer key

  1. 12
  2. 10
  3. 117
  4. 3
  5. 3
  6. 15
  7. 10
  8. 4
  9. 2
  10. 20
  11. 14
  12. 11
  13. 3
  14. 4
  15. 6
  16. 15
  17. 4
  18. 21
  19. 1
  20. 5
  21. 14
  22. 12
  23. 32
  24. 11
  25. 15
  26. 10
  27. 15
  28. 11
  29. 2
  30. 7
  31. 4
  32. 8
  33. 4
  34. 24
  35. 8
  36. 9
  37. 5
  38. 4
  39. 13
  40. 3

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