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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 929 · 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: n/4 + 1 = 11. What is n?
  2. 2.Aarav is 3 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  3. 3.Solve: 7n + 20 = 27. What is n?
  4. 4.Solve: m/4 + 17 = 21. What is m?
  5. 5.Zoya thinks of a number, multiplies it by 6 and then adds 7. The result is 25. What is the number?
  6. 6.Solve: y/9 + 3 = 12. What is y?
  7. 7.Zoya thinks of a number, multiplies it by 4 and then adds 17. The result is 65. What is the number?
  8. 8.Solve: 3(n + 9) = 72. What is n?
  9. 9.Solve: y/5 + 3 = 13. What is y?
  10. 10.Solve: m/9 + 1 = 4. What is m?
  11. 11.Isha is 8 years older than a cousin. Their ages add up to 38 years. How old is the cousin?
  12. 12.Solve: 4m − 5 = 19. What is m?
  13. 13.Solve: n/7 + 6 = 10. What is n?
  14. 14.Solve: 6(m + 5) = 102. What is m?
  15. 15.Manav is 7 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  16. 16.Solve: 9(y + 5) = 81. What is y?
  17. 17.Rahul thinks of a number, multiplies it by 5 and then adds 12. The result is 82. What is the number?
  18. 18.Manav is 5 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  19. 19.Gurpreet thinks of a number, multiplies it by 9 and then adds 12. The result is 84. What is the number?
  20. 20.Solve: t/4 + 12 = 13. What is t?
  21. 21.Riya thinks of a number, multiplies it by 3 and then adds 30. The result is 57. What is the number?
  22. 22.Solve: 6x + 6 = 18. What is x?
  23. 23.Isha thinks of a number, multiplies it by 5 and then adds 24. The result is 74. What is the number?
  24. 24.Solve: y/7 + 12 = 14. What is y?
  25. 25.Solve: 2x − 7 = 3. What is x?
  26. 26.Tara’s mother is twice as old as Tara. Their ages add up to 15 years. How old is Tara?
  27. 27.Solve: 9p − 45 = 9. What is p?
  28. 28.Solve: 2x + 1 = 19. What is x?
  29. 29.Solve: 6n − 29 = 1. What is n?
  30. 30.Solve: m/6 + 8 = 18. What is m?
  31. 31.Rahul thinks of a number, multiplies it by 8 and then adds 13. The result is 53. What is the number?
  32. 32.Solve: x/2 + 9 = 16. What is x?
  33. 33.Solve: 3m − 1 = 2. What is m?
  34. 34.Solve: 5p + 11 = 71. What is p?
  35. 35.Zoya thinks of a number, multiplies it by 4 and then adds 29. The result is 85. What is the number?
  36. 36.Sneha thinks of a number, multiplies it by 8 and then adds 18. The result is 90. What is the number?
  37. 37.Solve: y/7 + 4 = 19. What is y?
  38. 38.Arjun’s mother is twice as old as Arjun. Their ages add up to 39 years. How old is Arjun?
  39. 39.Solve: 5(y + 1) = 45. What is y?
  40. 40.Solve: 9n + 22 = 40. What is n?

Answer key

  1. 40
  2. 14
  3. 1
  4. 16
  5. 3
  6. 81
  7. 12
  8. 15
  9. 50
  10. 27
  11. 15
  12. 6
  13. 28
  14. 12
  15. 9
  16. 4
  17. 14
  18. 7
  19. 8
  20. 4
  21. 9
  22. 2
  23. 10
  24. 14
  25. 5
  26. 5
  27. 6
  28. 9
  29. 5
  30. 60
  31. 5
  32. 14
  33. 1
  34. 12
  35. 14
  36. 9
  37. 105
  38. 13
  39. 8
  40. 2

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