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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 653 · 40 sums
TalentJR

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: 9(t + 3) = 99. What is t?
  2. 2.Solve: 9x + 18 = 81. What is x?
  3. 3.Solve: 9(p + 9) = 153. What is p?
  4. 4.Solve: m/5 + 12 = 15. What is m?
  5. 5.Solve: 8x − 1 = 79. What is x?
  6. 6.Solve: 8m − 15 = 9. What is m?
  7. 7.Solve: 4y + 29 = 33. What is y?
  8. 8.Meera is 7 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  9. 9.Solve: 7(x + 1) = 98. What is x?
  10. 10.Nisha thinks of a number, multiplies it by 8 and then adds 25. The result is 65. What is the number?
  11. 11.Solve: 7x + 17 = 73. What is x?
  12. 12.Farhan’s mother is four times as old as Farhan. Their ages add up to 20 years. How old is Farhan?
  13. 13.Arjun’s mother is three times as old as Arjun. Their ages add up to 44 years. How old is Arjun?
  14. 14.Solve: 8(x + 9) = 96. What is x?
  15. 15.Farhan thinks of a number, multiplies it by 3 and then adds 1. The result is 31. What is the number?
  16. 16.Solve: 9p − 58 = 5. What is p?
  17. 17.Pooja thinks of a number, multiplies it by 3 and then adds 7. The result is 25. What is the number?
  18. 18.Solve: y/9 + 20 = 30. What is y?
  19. 19.Solve: 3n − 20 = 4. What is n?
  20. 20.Solve: 8y + 16 = 32. What is y?
  21. 21.Saanvi thinks of a number, multiplies it by 3 and then adds 2. The result is 44. What is the number?
  22. 22.Solve: t/3 + 3 = 7. What is t?
  23. 23.Gurpreet thinks of a number, multiplies it by 7 and then adds 28. The result is 84. What is the number?
  24. 24.Solve: 3(t + 8) = 57. What is t?
  25. 25.Solve: 6x − 10 = 44. What is x?
  26. 26.Solve: 4m − 3 = 9. What is m?
  27. 27.Dev thinks of a number, multiplies it by 2 and then adds 20. The result is 28. What is the number?
  28. 28.Solve: t/6 + 2 = 9. What is t?
  29. 29.Solve: 3(m + 7) = 27. What is m?
  30. 30.Solve: 9n + 17 = 53. What is n?
  31. 31.Solve: 4m + 25 = 85. What is m?
  32. 32.Saanvi is 6 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  33. 33.Solve: 9y − 8 = 10. What is y?
  34. 34.Solve: 3x + 28 = 61. What is x?
  35. 35.Solve: 3y + 22 = 46. What is y?
  36. 36.Aditya thinks of a number, multiplies it by 6 and then adds 18. The result is 66. What is the number?
  37. 37.Solve: 6n + 13 = 61. What is n?
  38. 38.Solve: x/7 + 19 = 34. What is x?
  39. 39.Kabir thinks of a number, multiplies it by 8 and then adds 11. The result is 107. What is the number?
  40. 40.Solve: 8m + 8 = 96. What is m?

Answer key

  1. 8
  2. 7
  3. 8
  4. 15
  5. 10
  6. 3
  7. 1
  8. 4
  9. 13
  10. 5
  11. 8
  12. 4
  13. 11
  14. 3
  15. 10
  16. 7
  17. 6
  18. 90
  19. 8
  20. 2
  21. 14
  22. 12
  23. 8
  24. 11
  25. 9
  26. 3
  27. 4
  28. 42
  29. 2
  30. 4
  31. 15
  32. 7
  33. 2
  34. 11
  35. 8
  36. 8
  37. 8
  38. 105
  39. 12
  40. 11

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