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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 327 · 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(y + 9) = 20. What is y?
  2. 2.Lakshmi is 2 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  3. 3.Kabir’s mother is three times as old as Kabir. Their ages add up to 56 years. How old is Kabir?
  4. 4.Solve: 7y − 2 = 5. What is y?
  5. 5.Solve: 5y − 11 = 59. What is y?
  6. 6.Solve: 9m − 18 = 45. What is m?
  7. 7.Solve: 9x − 22 = 59. What is x?
  8. 8.Solve: x/8 + 17 = 27. What is x?
  9. 9.Solve: 7m + 7 = 14. What is m?
  10. 10.Solve: 9t + 30 = 129. What is t?
  11. 11.Tara thinks of a number, multiplies it by 7 and then adds 7. The result is 63. What is the number?
  12. 12.Solve: 6(x + 8) = 66. What is x?
  13. 13.Kavya is 4 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  14. 14.Pooja’s mother is twice as old as Pooja. Their ages add up to 24 years. How old is Pooja?
  15. 15.Solve: 7x − 20 = 22. What is x?
  16. 16.Solve: 4(n + 7) = 32. What is n?
  17. 17.Joseph is 8 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  18. 18.Solve: p/7 + 14 = 26. What is p?
  19. 19.Solve: 2(x + 2) = 20. What is x?
  20. 20.Solve: 4x + 23 = 43. What is x?
  21. 21.Arjun thinks of a number, multiplies it by 9 and then adds 26. The result is 35. What is the number?
  22. 22.Rohan’s mother is three times as old as Rohan. Their ages add up to 36 years. How old is Rohan?
  23. 23.Solve: 8m − 3 = 21. What is m?
  24. 24.Joseph thinks of a number, multiplies it by 4 and then adds 29. The result is 65. What is the number?
  25. 25.Solve: 4n + 17 = 49. What is n?
  26. 26.Solve: 3m + 2 = 5. What is m?
  27. 27.Farhan’s mother is twice as old as Farhan. Their ages add up to 24 years. How old is Farhan?
  28. 28.Nisha thinks of a number, multiplies it by 3 and then adds 21. The result is 27. What is the number?
  29. 29.Solve: 8m + 12 = 124. What is m?
  30. 30.Sneha thinks of a number, multiplies it by 9 and then adds 13. The result is 31. What is the number?
  31. 31.Solve: 2(x + 3) = 16. What is x?
  32. 32.Solve: t/4 + 3 = 7. What is t?
  33. 33.Solve: 5(y + 9) = 95. What is y?
  34. 34.Solve: 8t + 10 = 130. What is t?
  35. 35.Solve: 5t + 16 = 46. What is t?
  36. 36.Solve: 9(m + 6) = 90. What is m?
  37. 37.Solve: 7m − 2 = 19. What is m?
  38. 38.Solve: 4(y + 4) = 76. What is y?
  39. 39.Solve: x/3 + 14 = 20. What is x?
  40. 40.Solve: 5y + 23 = 28. What is y?

Answer key

  1. 1
  2. 6
  3. 14
  4. 1
  5. 14
  6. 7
  7. 9
  8. 80
  9. 1
  10. 11
  11. 8
  12. 3
  13. 7
  14. 8
  15. 6
  16. 1
  17. 9
  18. 84
  19. 8
  20. 5
  21. 1
  22. 9
  23. 3
  24. 9
  25. 8
  26. 1
  27. 8
  28. 2
  29. 14
  30. 2
  31. 5
  32. 16
  33. 10
  34. 15
  35. 6
  36. 4
  37. 3
  38. 15
  39. 18
  40. 1

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