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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 346 · 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.Aditya thinks of a number, multiplies it by 8 and then adds 15. The result is 47. What is the number?
  2. 2.Solve: n/3 + 9 = 14. What is n?
  3. 3.Solve: 4t + 7 = 23. What is t?
  4. 4.Solve: 2m + 8 = 30. What is m?
  5. 5.Solve: 3t − 13 = 32. What is t?
  6. 6.Vivaan’s mother is four times as old as Vivaan. Their ages add up to 20 years. How old is Vivaan?
  7. 7.Solve: 4n − 38 = 2. What is n?
  8. 8.Solve: 7(y + 2) = 49. What is y?
  9. 9.Solve: 5x + 27 = 32. What is x?
  10. 10.Solve: 9m + 20 = 83. What is m?
  11. 11.Solve: 5y − 11 = 39. What is y?
  12. 12.Dev thinks of a number, multiplies it by 7 and then adds 4. The result is 18. What is the number?
  13. 13.Dev is 1 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  14. 14.Solve: 4(p + 9) = 88. What is p?
  15. 15.Solve: 7p + 27 = 69. What is p?
  16. 16.Aditya’s mother is four times as old as Aditya. Their ages add up to 60 years. How old is Aditya?
  17. 17.Solve: 7t + 8 = 36. What is t?
  18. 18.Solve: 3m + 3 = 24. What is m?
  19. 19.Solve: y/7 + 13 = 24. What is y?
  20. 20.Solve: 3y + 10 = 40. What is y?
  21. 21.Solve: 3(y + 5) = 60. What is y?
  22. 22.Solve: 3n − 10 = 5. What is n?
  23. 23.Solve: 3m + 3 = 6. What is m?
  24. 24.Solve: 7m + 4 = 25. What is m?
  25. 25.Arjun is 7 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  26. 26.Solve: 3(m + 3) = 18. What is m?
  27. 27.Kavya’s mother is four times as old as Kavya. Their ages add up to 70 years. How old is Kavya?
  28. 28.Solve: 2(y + 1) = 10. What is y?
  29. 29.Solve: 6(t + 9) = 120. What is t?
  30. 30.Solve: t/2 + 15 = 26. What is t?
  31. 31.Solve: 8t − 47 = 49. What is t?
  32. 32.Kavya’s mother is three times as old as Kavya. Their ages add up to 60 years. How old is Kavya?
  33. 33.Solve: 9y + 13 = 103. What is y?
  34. 34.Solve: 6(m + 8) = 54. What is m?
  35. 35.Kabir thinks of a number, multiplies it by 8 and then adds 10. The result is 106. What is the number?
  36. 36.Solve: t/9 + 3 = 12. What is t?
  37. 37.Solve: 8y + 10 = 74. What is y?
  38. 38.Sneha thinks of a number, multiplies it by 3 and then adds 27. The result is 36. What is the number?
  39. 39.Solve: 4p + 6 = 22. What is p?
  40. 40.Solve: m/9 + 14 = 20. What is m?

Answer key

  1. 4
  2. 15
  3. 4
  4. 11
  5. 15
  6. 4
  7. 10
  8. 5
  9. 1
  10. 7
  11. 10
  12. 2
  13. 12
  14. 13
  15. 6
  16. 12
  17. 4
  18. 7
  19. 77
  20. 10
  21. 15
  22. 5
  23. 1
  24. 3
  25. 6
  26. 3
  27. 14
  28. 4
  29. 11
  30. 22
  31. 12
  32. 15
  33. 10
  34. 1
  35. 12
  36. 81
  37. 8
  38. 3
  39. 4
  40. 54

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