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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 55 · 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 three times as old as Zoya. Their ages add up to 24 years. How old is Zoya?
  2. 2.Solve: 2(m + 9) = 48. What is m?
  3. 3.Solve: 6x + 1 = 61. What is x?
  4. 4.Farhan is 5 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  5. 5.Zoya’s mother is four times as old as Zoya. Their ages add up to 40 years. How old is Zoya?
  6. 6.Solve: 6x − 23 = 1. What is x?
  7. 7.Diya’s mother is twice as old as Diya. Their ages add up to 15 years. How old is Diya?
  8. 8.Solve: m/3 + 4 = 14. What is m?
  9. 9.Farhan is 5 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  10. 10.Solve: 7(m + 7) = 133. What is m?
  11. 11.Solve: m/9 + 18 = 32. What is m?
  12. 12.Solve: t/5 + 2 = 14. What is t?
  13. 13.Solve: t/7 + 11 = 25. What is t?
  14. 14.Solve: p/2 + 11 = 24. What is p?
  15. 15.Solve: 6x − 82 = 8. What is x?
  16. 16.Rahul thinks of a number, multiplies it by 2 and then adds 3. The result is 19. What is the number?
  17. 17.Solve: 6(x + 7) = 48. What is x?
  18. 18.Solve: 3y + 26 = 65. What is y?
  19. 19.Nisha thinks of a number, multiplies it by 4 and then adds 5. The result is 61. What is the number?
  20. 20.Solve: 7y − 7 = 63. What is y?
  21. 21.Solve: 2x − 18 = 10. What is x?
  22. 22.Lakshmi thinks of a number, multiplies it by 6 and then adds 5. The result is 71. What is the number?
  23. 23.Solve: n/5 + 10 = 25. What is n?
  24. 24.Joseph’s mother is twice as old as Joseph. Their ages add up to 27 years. How old is Joseph?
  25. 25.Solve: 3y − 26 = 1. What is y?
  26. 26.Solve: 4y + 25 = 33. What is y?
  27. 27.Lakshmi thinks of a number, multiplies it by 7 and then adds 4. The result is 67. What is the number?
  28. 28.Solve: 9m − 18 = 18. What is m?
  29. 29.Solve: 4(n + 9) = 88. What is n?
  30. 30.Diya is 3 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  31. 31.Solve: 9m − 49 = 41. What is m?
  32. 32.Riya thinks of a number, multiplies it by 2 and then adds 20. The result is 42. What is the number?
  33. 33.Solve: 8x + 29 = 61. What is x?
  34. 34.Gurpreet is 4 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  35. 35.Solve: x/7 + 15 = 26. What is x?
  36. 36.Solve: n/8 + 4 = 12. What is n?
  37. 37.Solve: 2y − 1 = 1. What is y?
  38. 38.Solve: 7m + 21 = 112. What is m?
  39. 39.Solve: 9m + 19 = 37. What is m?
  40. 40.Rohan thinks of a number, multiplies it by 9 and then adds 9. The result is 18. What is the number?

Answer key

  1. 6
  2. 15
  3. 10
  4. 7
  5. 8
  6. 4
  7. 5
  8. 30
  9. 11
  10. 12
  11. 126
  12. 60
  13. 98
  14. 26
  15. 15
  16. 8
  17. 1
  18. 13
  19. 14
  20. 10
  21. 14
  22. 11
  23. 75
  24. 9
  25. 9
  26. 2
  27. 9
  28. 4
  29. 13
  30. 14
  31. 10
  32. 11
  33. 4
  34. 15
  35. 77
  36. 64
  37. 1
  38. 13
  39. 2
  40. 1

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