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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 389 · 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.Zoya’s mother is four times as old as Zoya. Their ages add up to 30 years. How old is Zoya?
  2. 2.Solve: x/5 + 9 = 12. What is x?
  3. 3.Solve: 5p + 22 = 72. What is p?
  4. 4.Pooja thinks of a number, multiplies it by 3 and then adds 3. The result is 6. What is the number?
  5. 5.Isha thinks of a number, multiplies it by 8 and then adds 1. The result is 113. What is the number?
  6. 6.Solve: 7m − 31 = 39. What is m?
  7. 7.Solve: m/6 + 18 = 33. What is m?
  8. 8.Nisha thinks of a number, multiplies it by 5 and then adds 30. The result is 85. What is the number?
  9. 9.Ananya is 2 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  10. 10.Solve: 4n − 2 = 30. What is n?
  11. 11.Solve: 7m − 29 = 41. What is m?
  12. 12.Solve: p/7 + 19 = 20. What is p?
  13. 13.Solve: 7m + 7 = 105. What is m?
  14. 14.Saanvi’s mother is three times as old as Saanvi. Their ages add up to 60 years. How old is Saanvi?
  15. 15.Isha’s mother is four times as old as Isha. Their ages add up to 35 years. How old is Isha?
  16. 16.Solve: 2p + 21 = 47. What is p?
  17. 17.Zoya thinks of a number, multiplies it by 6 and then adds 14. The result is 74. What is the number?
  18. 18.Solve: 5m + 16 = 36. What is m?
  19. 19.Solve: 3(x + 9) = 42. What is x?
  20. 20.Solve: 6x − 18 = 12. What is x?
  21. 21.Nisha is 3 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  22. 22.Solve: 7x − 11 = 59. What is x?
  23. 23.Solve: 4m + 11 = 67. What is m?
  24. 24.Aarav’s mother is four times as old as Aarav. Their ages add up to 65 years. How old is Aarav?
  25. 25.Solve: n/3 + 18 = 27. What is n?
  26. 26.Solve: 4m − 7 = 45. What is m?
  27. 27.Zoya is 2 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  28. 28.Solve: 2y + 2 = 20. What is y?
  29. 29.Ananya’s mother is twice as old as Ananya. Their ages add up to 24 years. How old is Ananya?
  30. 30.Arjun is 1 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  31. 31.Solve: 7p + 28 = 42. What is p?
  32. 32.Solve: 5(y + 1) = 55. What is y?
  33. 33.Solve: 3x + 4 = 46. What is x?
  34. 34.Solve: 8x − 48 = 32. What is x?
  35. 35.Tara thinks of a number, multiplies it by 2 and then adds 28. The result is 48. What is the number?
  36. 36.Karan’s mother is four times as old as Karan. Their ages add up to 30 years. How old is Karan?
  37. 37.Solve: 8p + 6 = 38. What is p?
  38. 38.Solve: 6x − 34 = 8. What is x?
  39. 39.Solve: 6(p + 5) = 72. What is p?
  40. 40.Kavya’s mother is three times as old as Kavya. Their ages add up to 20 years. How old is Kavya?

Answer key

  1. 6
  2. 15
  3. 10
  4. 1
  5. 14
  6. 10
  7. 90
  8. 11
  9. 15
  10. 8
  11. 10
  12. 7
  13. 14
  14. 15
  15. 7
  16. 13
  17. 10
  18. 4
  19. 5
  20. 5
  21. 14
  22. 10
  23. 14
  24. 13
  25. 27
  26. 13
  27. 6
  28. 9
  29. 8
  30. 5
  31. 2
  32. 10
  33. 14
  34. 10
  35. 10
  36. 6
  37. 4
  38. 7
  39. 7
  40. 5

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