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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 693 · 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: 3t − 7 = 5. What is t?
  2. 2.Solve: 4(y + 6) = 64. What is y?
  3. 3.Saanvi thinks of a number, multiplies it by 9 and then adds 14. The result is 86. What is the number?
  4. 4.Solve: n/2 + 1 = 14. What is n?
  5. 5.Farhan’s mother is three times as old as Farhan. Their ages add up to 24 years. How old is Farhan?
  6. 6.Solve: n/5 + 15 = 18. What is n?
  7. 7.Meera thinks of a number, multiplies it by 3 and then adds 3. The result is 42. What is the number?
  8. 8.Solve: 4(n + 7) = 36. What is n?
  9. 9.Dev is 2 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  10. 10.Gurpreet’s mother is twice as old as Gurpreet. Their ages add up to 30 years. How old is Gurpreet?
  11. 11.Ananya thinks of a number, multiplies it by 6 and then adds 23. The result is 29. What is the number?
  12. 12.Isha thinks of a number, multiplies it by 3 and then adds 29. The result is 38. What is the number?
  13. 13.Solve: 4n + 12 = 16. What is n?
  14. 14.Arjun’s mother is four times as old as Arjun. Their ages add up to 35 years. How old is Arjun?
  15. 15.Tara’s mother is four times as old as Tara. Their ages add up to 60 years. How old is Tara?
  16. 16.Solve: 8y + 4 = 116. What is y?
  17. 17.Manav thinks of a number, multiplies it by 5 and then adds 9. The result is 34. What is the number?
  18. 18.Tara’s mother is four times as old as Tara. Their ages add up to 70 years. How old is Tara?
  19. 19.Solve: 7y + 12 = 54. What is y?
  20. 20.Solve: m/2 + 11 = 19. What is m?
  21. 21.Solve: 5y − 57 = 18. What is y?
  22. 22.Diya is 1 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  23. 23.Pooja’s mother is four times as old as Pooja. Their ages add up to 60 years. How old is Pooja?
  24. 24.Solve: t/7 + 10 = 12. What is t?
  25. 25.Solve: 9(x + 9) = 99. What is x?
  26. 26.Solve: 2t + 11 = 33. What is t?
  27. 27.Solve: 9m − 15 = 3. What is m?
  28. 28.Solve: 5p + 15 = 55. What is p?
  29. 29.Solve: 5p + 17 = 22. What is p?
  30. 30.Solve: 4x + 21 = 69. What is x?
  31. 31.Isha thinks of a number, multiplies it by 9 and then adds 11. The result is 38. What is the number?
  32. 32.Solve: 5x − 2 = 3. What is x?
  33. 33.Solve: 5(n + 2) = 15. What is n?
  34. 34.Vivaan thinks of a number, multiplies it by 9 and then adds 29. The result is 92. What is the number?
  35. 35.Farhan thinks of a number, multiplies it by 5 and then adds 28. The result is 88. What is the number?
  36. 36.Isha is 6 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  37. 37.Dev’s mother is twice as old as Dev. Their ages add up to 45 years. How old is Dev?
  38. 38.Solve: 3(n + 5) = 51. What is n?
  39. 39.Solve: 4m − 15 = 33. What is m?
  40. 40.Solve: 4p + 3 = 51. What is p?

Answer key

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

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