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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 422 · 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: 3n + 8 = 11. What is n?
  2. 2.Solve: 9n + 3 = 39. What is n?
  3. 3.Pooja’s mother is four times as old as Pooja. Their ages add up to 60 years. How old is Pooja?
  4. 4.Solve: t/4 + 4 = 17. What is t?
  5. 5.Solve: m/9 + 6 = 20. What is m?
  6. 6.Solve: m/9 + 14 = 15. What is m?
  7. 7.Solve: 5(n + 1) = 10. What is n?
  8. 8.Solve: 9y + 29 = 83. What is y?
  9. 9.Aarav thinks of a number, multiplies it by 7 and then adds 23. The result is 58. What is the number?
  10. 10.Solve: x/6 + 9 = 10. What is x?
  11. 11.Zoya thinks of a number, multiplies it by 2 and then adds 2. The result is 32. What is the number?
  12. 12.Solve: p/6 + 13 = 28. What is p?
  13. 13.Solve: 7t + 6 = 41. What is t?
  14. 14.Saanvi thinks of a number, multiplies it by 2 and then adds 7. The result is 25. What is the number?
  15. 15.Solve: 9p + 1 = 91. What is p?
  16. 16.Solve: 5x + 13 = 63. What is x?
  17. 17.Arjun’s mother is twice as old as Arjun. Their ages add up to 18 years. How old is Arjun?
  18. 18.Solve: 4p + 22 = 38. What is p?
  19. 19.Isha is 2 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  20. 20.Solve: 4(t + 5) = 24. What is t?
  21. 21.Solve: 6(t + 7) = 60. What is t?
  22. 22.Solve: 2m + 20 = 50. What is m?
  23. 23.Solve: 4n − 21 = 35. What is n?
  24. 24.Solve: 8p − 6 = 10. What is p?
  25. 25.Nisha thinks of a number, multiplies it by 6 and then adds 23. The result is 101. What is the number?
  26. 26.Solve: n/8 + 10 = 15. What is n?
  27. 27.Zoya thinks of a number, multiplies it by 6 and then adds 8. The result is 80. What is the number?
  28. 28.Ananya thinks of a number, multiplies it by 8 and then adds 30. The result is 110. What is the number?
  29. 29.Solve: 9t − 71 = 46. What is t?
  30. 30.Solve: m/6 + 4 = 19. What is m?
  31. 31.Solve: 7t + 19 = 33. What is t?
  32. 32.Farhan is 5 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  33. 33.Diya is 6 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  34. 34.Solve: 9(p + 5) = 162. What is p?
  35. 35.Solve: 7(t + 3) = 35. What is t?
  36. 36.Solve: 9(t + 8) = 90. What is t?
  37. 37.Solve: 6x − 70 = 14. What is x?
  38. 38.Solve: 8p + 4 = 36. What is p?
  39. 39.Solve: 5(x + 2) = 70. What is x?
  40. 40.Solve: 9n − 2 = 16. What is n?

Answer key

  1. 1
  2. 4
  3. 12
  4. 52
  5. 126
  6. 9
  7. 1
  8. 6
  9. 5
  10. 6
  11. 15
  12. 90
  13. 5
  14. 9
  15. 10
  16. 10
  17. 6
  18. 4
  19. 15
  20. 1
  21. 3
  22. 15
  23. 14
  24. 2
  25. 13
  26. 40
  27. 12
  28. 10
  29. 13
  30. 90
  31. 2
  32. 9
  33. 9
  34. 13
  35. 2
  36. 2
  37. 14
  38. 4
  39. 12
  40. 2

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