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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 595 · 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.Karan thinks of a number, multiplies it by 4 and then adds 3. The result is 23. What is the number?
  2. 2.Solve: 8p − 53 = 3. What is p?
  3. 3.Joseph’s mother is twice as old as Joseph. Their ages add up to 30 years. How old is Joseph?
  4. 4.Solve: 2n − 4 = 2. What is n?
  5. 5.Solve: 4x − 36 = 24. What is x?
  6. 6.Aditya’s mother is three times as old as Aditya. Their ages add up to 32 years. How old is Aditya?
  7. 7.Rahul is 5 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  8. 8.Nisha’s mother is twice as old as Nisha. Their ages add up to 27 years. How old is Nisha?
  9. 9.Priya is 2 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  10. 10.Solve: t/9 + 16 = 22. What is t?
  11. 11.Solve: 5(m + 6) = 55. What is m?
  12. 12.Solve: x/8 + 13 = 28. What is x?
  13. 13.Solve: 3n + 29 = 41. What is n?
  14. 14.Solve: n/4 + 15 = 23. What is n?
  15. 15.Solve: 5(y + 2) = 65. What is y?
  16. 16.Solve: 8p + 2 = 10. What is p?
  17. 17.Solve: 4x − 15 = 25. What is x?
  18. 18.Kabir thinks of a number, multiplies it by 8 and then adds 3. The result is 59. What is the number?
  19. 19.Solve: 9x − 11 = 7. What is x?
  20. 20.Pooja is 1 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  21. 21.Priya thinks of a number, multiplies it by 4 and then adds 7. The result is 51. What is the number?
  22. 22.Solve: 7x + 15 = 85. What is x?
  23. 23.Karan is 1 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  24. 24.Solve: x/4 + 7 = 17. What is x?
  25. 25.Solve: 4m − 4 = 28. What is m?
  26. 26.Solve: 6n + 3 = 51. What is n?
  27. 27.Joseph’s mother is three times as old as Joseph. Their ages add up to 44 years. How old is Joseph?
  28. 28.Arjun thinks of a number, multiplies it by 4 and then adds 30. The result is 38. What is the number?
  29. 29.Zoya is 4 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  30. 30.Solve: 4(n + 8) = 60. What is n?
  31. 31.Solve: 9(m + 1) = 54. What is m?
  32. 32.Solve: 4(y + 9) = 40. What is y?
  33. 33.Solve: 8t − 96 = 16. What is t?
  34. 34.Solve: 6y + 15 = 99. What is y?
  35. 35.Zoya thinks of a number, multiplies it by 6 and then adds 11. The result is 59. What is the number?
  36. 36.Solve: 7t − 23 = 12. What is t?
  37. 37.Solve: 2n + 21 = 49. What is n?
  38. 38.Solve: 2(m + 8) = 18. What is m?
  39. 39.Solve: 6p − 11 = 79. What is p?
  40. 40.Solve: 2x + 8 = 18. What is x?

Answer key

  1. 5
  2. 7
  3. 10
  4. 3
  5. 15
  6. 8
  7. 14
  8. 9
  9. 14
  10. 54
  11. 5
  12. 120
  13. 4
  14. 32
  15. 11
  16. 1
  17. 10
  18. 7
  19. 2
  20. 7
  21. 11
  22. 10
  23. 13
  24. 40
  25. 8
  26. 8
  27. 11
  28. 2
  29. 15
  30. 7
  31. 5
  32. 1
  33. 14
  34. 14
  35. 8
  36. 5
  37. 14
  38. 1
  39. 15
  40. 5

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