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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 881 · 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: 9n + 24 = 69. What is n?
  2. 2.Solve: 7n − 26 = 79. What is n?
  3. 3.Ishaan thinks of a number, multiplies it by 2 and then adds 21. The result is 25. What is the number?
  4. 4.Solve: 3x + 21 = 24. What is x?
  5. 5.Solve: 2y + 7 = 33. What is y?
  6. 6.Solve: 9y + 10 = 118. What is y?
  7. 7.Solve: 8m − 8 = 8. What is m?
  8. 8.Solve: 7y − 28 = 28. What is y?
  9. 9.Solve: 3x + 18 = 48. What is x?
  10. 10.Solve: 7t + 11 = 18. What is t?
  11. 11.Solve: 4x + 11 = 31. What is x?
  12. 12.Solve: 9(n + 9) = 117. What is n?
  13. 13.Solve: 3y − 14 = 4. What is y?
  14. 14.Solve: 7m + 24 = 108. What is m?
  15. 15.Solve: 2m + 7 = 31. What is m?
  16. 16.Solve: 9x + 21 = 138. What is x?
  17. 17.Solve: 3p − 21 = 18. What is p?
  18. 18.Tara is 1 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  19. 19.Solve: 6y + 26 = 44. What is y?
  20. 20.Arjun thinks of a number, multiplies it by 2 and then adds 7. The result is 23. What is the number?
  21. 21.Solve: m/8 + 9 = 17. What is m?
  22. 22.Solve: 4(m + 3) = 52. What is m?
  23. 23.Solve: n/3 + 1 = 4. What is n?
  24. 24.Vivaan thinks of a number, multiplies it by 7 and then adds 8. The result is 57. What is the number?
  25. 25.Isha is 6 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  26. 26.Solve: 6m + 20 = 44. What is m?
  27. 27.Solve: y/3 + 14 = 25. What is y?
  28. 28.Solve: m/6 + 19 = 27. What is m?
  29. 29.Saanvi thinks of a number, multiplies it by 8 and then adds 9. The result is 113. What is the number?
  30. 30.Solve: 8x − 108 = 4. What is x?
  31. 31.Solve: t/2 + 18 = 28. What is t?
  32. 32.Solve: 4(m + 8) = 56. What is m?
  33. 33.Solve: 3(m + 4) = 42. What is m?
  34. 34.Solve: 7x − 1 = 6. What is x?
  35. 35.Solve: m/9 + 3 = 18. What is m?
  36. 36.Solve: 8t − 7 = 1. What is t?
  37. 37.Solve: 9x + 28 = 73. What is x?
  38. 38.Meera’s mother is three times as old as Meera. Their ages add up to 28 years. How old is Meera?
  39. 39.Solve: 8p + 6 = 126. What is p?
  40. 40.Solve: 3x + 25 = 67. What is x?

Answer key

  1. 5
  2. 15
  3. 2
  4. 1
  5. 13
  6. 12
  7. 2
  8. 8
  9. 10
  10. 1
  11. 5
  12. 4
  13. 6
  14. 12
  15. 12
  16. 13
  17. 13
  18. 5
  19. 3
  20. 8
  21. 64
  22. 10
  23. 9
  24. 7
  25. 14
  26. 4
  27. 33
  28. 48
  29. 13
  30. 14
  31. 20
  32. 6
  33. 10
  34. 1
  35. 135
  36. 1
  37. 5
  38. 7
  39. 15
  40. 14

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