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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 909 · 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: 7t − 1 = 13. What is t?
  2. 2.Solve: 2(p + 7) = 38. What is p?
  3. 3.Solve: 9t + 2 = 11. What is t?
  4. 4.Solve: 5m − 6 = 4. What is m?
  5. 5.Rohan thinks of a number, multiplies it by 6 and then adds 8. The result is 86. What is the number?
  6. 6.Ishaan thinks of a number, multiplies it by 6 and then adds 19. The result is 31. What is the number?
  7. 7.Solve: 7t − 91 = 14. What is t?
  8. 8.Solve: 5p − 40 = 10. What is p?
  9. 9.Solve: p/8 + 5 = 20. What is p?
  10. 10.Solve: 5t + 12 = 57. What is t?
  11. 11.Solve: 9(m + 4) = 63. What is m?
  12. 12.Solve: 3(m + 1) = 9. What is m?
  13. 13.Lakshmi’s mother is three times as old as Lakshmi. Their ages add up to 16 years. How old is Lakshmi?
  14. 14.Solve: 3m − 12 = 12. What is m?
  15. 15.Solve: 7t + 7 = 28. What is t?
  16. 16.Solve: p/2 + 13 = 25. What is p?
  17. 17.Solve: 2n − 1 = 5. What is n?
  18. 18.Rahul thinks of a number, multiplies it by 9 and then adds 1. The result is 37. What is the number?
  19. 19.Solve: t/5 + 13 = 20. What is t?
  20. 20.Solve: 4n + 17 = 25. What is n?
  21. 21.Solve: 6y − 50 = 34. What is y?
  22. 22.Solve: 9n − 91 = 8. What is n?
  23. 23.Solve: 9n + 4 = 112. What is n?
  24. 24.Solve: n/7 + 5 = 15. What is n?
  25. 25.Solve: n/5 + 5 = 14. What is n?
  26. 26.Solve: 2m + 6 = 28. What is m?
  27. 27.Solve: 3p − 6 = 6. What is p?
  28. 28.Solve: 8x − 34 = 78. What is x?
  29. 29.Solve: 4p − 8 = 12. What is p?
  30. 30.Kabir thinks of a number, multiplies it by 6 and then adds 4. The result is 82. What is the number?
  31. 31.Solve: 9(t + 9) = 108. What is t?
  32. 32.Aarav thinks of a number, multiplies it by 7 and then adds 23. The result is 30. What is the number?
  33. 33.Solve: 3x − 29 = 13. What is x?
  34. 34.Solve: 9x + 10 = 136. What is x?
  35. 35.Solve: 9p + 5 = 122. What is p?
  36. 36.Solve: 5t + 15 = 65. What is t?
  37. 37.Solve: 5x + 18 = 93. What is x?
  38. 38.Solve: y/3 + 11 = 16. What is y?
  39. 39.Arjun thinks of a number, multiplies it by 2 and then adds 26. The result is 28. What is the number?
  40. 40.Solve: 4x + 28 = 36. What is x?

Answer key

  1. 2
  2. 12
  3. 1
  4. 2
  5. 13
  6. 2
  7. 15
  8. 10
  9. 120
  10. 9
  11. 3
  12. 2
  13. 4
  14. 8
  15. 3
  16. 24
  17. 3
  18. 4
  19. 35
  20. 2
  21. 14
  22. 11
  23. 12
  24. 70
  25. 45
  26. 11
  27. 4
  28. 14
  29. 5
  30. 13
  31. 3
  32. 1
  33. 14
  34. 14
  35. 13
  36. 10
  37. 15
  38. 15
  39. 1
  40. 2

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