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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 821 · 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: x/8 + 6 = 20. What is x?
  2. 2.Solve: 5n − 2 = 3. What is n?
  3. 3.Solve: 2x + 3 = 13. What is x?
  4. 4.Solve: p/8 + 11 = 15. What is p?
  5. 5.Rohan is 4 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  6. 6.Ananya is 1 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  7. 7.Solve: m/2 + 7 = 18. What is m?
  8. 8.Solve: 3t + 26 = 32. What is t?
  9. 9.Solve: 8y + 6 = 94. What is y?
  10. 10.Solve: y/4 + 3 = 9. What is y?
  11. 11.Solve: 3t + 25 = 64. What is t?
  12. 12.Riya thinks of a number, multiplies it by 9 and then adds 22. The result is 121. What is the number?
  13. 13.Solve: 3m − 17 = 7. What is m?
  14. 14.Sneha thinks of a number, multiplies it by 5 and then adds 2. The result is 72. What is the number?
  15. 15.Solve: 7t − 50 = 48. What is t?
  16. 16.Solve: x/7 + 11 = 19. What is x?
  17. 17.Karan thinks of a number, multiplies it by 2 and then adds 6. The result is 14. What is the number?
  18. 18.Solve: 5t + 24 = 89. What is t?
  19. 19.Solve: 3n + 16 = 34. What is n?
  20. 20.Solve: p/8 + 19 = 33. What is p?
  21. 21.Farhan’s mother is four times as old as Farhan. Their ages add up to 30 years. How old is Farhan?
  22. 22.Solve: 6n + 27 = 69. What is n?
  23. 23.Solve: 2n + 28 = 54. What is n?
  24. 24.Solve: 4(y + 7) = 80. What is y?
  25. 25.Solve: 6n + 29 = 65. What is n?
  26. 26.Solve: m/2 + 8 = 10. What is m?
  27. 27.Solve: 3(x + 2) = 9. What is x?
  28. 28.Solve: x/7 + 7 = 17. What is x?
  29. 29.Solve: n/4 + 20 = 32. What is n?
  30. 30.Diya thinks of a number, multiplies it by 6 and then adds 20. The result is 110. What is the number?
  31. 31.Solve: 3t + 9 = 51. What is t?
  32. 32.Rohan’s mother is twice as old as Rohan. Their ages add up to 36 years. How old is Rohan?
  33. 33.Solve: m/3 + 20 = 33. What is m?
  34. 34.Aditya’s mother is four times as old as Aditya. Their ages add up to 50 years. How old is Aditya?
  35. 35.Solve: 7(x + 2) = 84. What is x?
  36. 36.Ishaan thinks of a number, multiplies it by 8 and then adds 8. The result is 32. What is the number?
  37. 37.Solve: x/9 + 3 = 8. What is x?
  38. 38.Karan thinks of a number, multiplies it by 8 and then adds 4. The result is 84. What is the number?
  39. 39.Solve: 8m − 23 = 17. What is m?
  40. 40.Arjun’s mother is four times as old as Arjun. Their ages add up to 50 years. How old is Arjun?

Answer key

  1. 112
  2. 1
  3. 5
  4. 32
  5. 9
  6. 13
  7. 22
  8. 2
  9. 11
  10. 24
  11. 13
  12. 11
  13. 8
  14. 14
  15. 14
  16. 56
  17. 4
  18. 13
  19. 6
  20. 112
  21. 6
  22. 7
  23. 13
  24. 13
  25. 6
  26. 4
  27. 1
  28. 70
  29. 48
  30. 15
  31. 14
  32. 12
  33. 39
  34. 10
  35. 10
  36. 3
  37. 45
  38. 10
  39. 5
  40. 10

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