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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 599 · 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: 2(p + 8) = 24. What is p?
  2. 2.Solve: y/3 + 10 = 20. What is y?
  3. 3.Nisha is 7 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  4. 4.Solve: 8(x + 2) = 64. What is x?
  5. 5.Pooja is 4 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  6. 6.Priya’s mother is twice as old as Priya. Their ages add up to 12 years. How old is Priya?
  7. 7.Ananya is 8 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  8. 8.Tara’s mother is twice as old as Tara. Their ages add up to 21 years. How old is Tara?
  9. 9.Solve: 6p + 18 = 102. What is p?
  10. 10.Solve: 6x + 16 = 82. What is x?
  11. 11.Diya thinks of a number, multiplies it by 2 and then adds 19. The result is 39. What is the number?
  12. 12.Solve: m/9 + 19 = 20. What is m?
  13. 13.Solve: 2t − 14 = 6. What is t?
  14. 14.Solve: 2t − 6 = 20. What is t?
  15. 15.Sneha’s mother is three times as old as Sneha. Their ages add up to 40 years. How old is Sneha?
  16. 16.Solve: 9m + 26 = 161. What is m?
  17. 17.Solve: 7(y + 7) = 70. What is y?
  18. 18.Aditya’s mother is three times as old as Aditya. Their ages add up to 28 years. How old is Aditya?
  19. 19.Solve: y/8 + 6 = 11. What is y?
  20. 20.Solve: 5y + 18 = 23. What is y?
  21. 21.Solve: 2y + 25 = 31. What is y?
  22. 22.Solve: 3n + 30 = 42. What is n?
  23. 23.Rahul is 5 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  24. 24.Solve: 2y − 12 = 2. What is y?
  25. 25.Solve: 3t + 21 = 36. What is t?
  26. 26.Solve: 2t + 24 = 54. What is t?
  27. 27.Solve: 7(x + 8) = 154. What is x?
  28. 28.Solve: 9t − 2 = 7. What is t?
  29. 29.Solve: p/9 + 8 = 11. What is p?
  30. 30.Solve: 4m + 28 = 60. What is m?
  31. 31.Solve: 9n − 42 = 30. What is n?
  32. 32.Kabir’s mother is four times as old as Kabir. Their ages add up to 75 years. How old is Kabir?
  33. 33.Solve: 2m + 11 = 21. What is m?
  34. 34.Arjun’s mother is twice as old as Arjun. Their ages add up to 45 years. How old is Arjun?
  35. 35.Zoya thinks of a number, multiplies it by 9 and then adds 28. The result is 73. What is the number?
  36. 36.Arjun’s mother is three times as old as Arjun. Their ages add up to 44 years. How old is Arjun?
  37. 37.Solve: y/7 + 14 = 16. What is y?
  38. 38.Priya’s mother is three times as old as Priya. Their ages add up to 56 years. How old is Priya?
  39. 39.Solve: 5n + 30 = 85. What is n?
  40. 40.Pooja’s mother is twice as old as Pooja. Their ages add up to 36 years. How old is Pooja?

Answer key

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

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