← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 143 · 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.

NameDateTime takenScore ___ / 40
  1. 1.Solve: x/6 + 20 = 29. What is x?
  2. 2.Solve: 2x − 5 = 5. What is x?
  3. 3.Solve: 4n − 7 = 13. What is n?
  4. 4.Solve: x/6 + 1 = 11. What is x?
  5. 5.Solve: 9n + 4 = 112. What is n?
  6. 6.Solve: 4t − 22 = 6. What is t?
  7. 7.Ananya thinks of a number, multiplies it by 8 and then adds 6. The result is 94. What is the number?
  8. 8.Kavya’s mother is four times as old as Kavya. Their ages add up to 55 years. How old is Kavya?
  9. 9.Sneha is 5 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  10. 10.Solve: 3t − 10 = 29. What is t?
  11. 11.Rahul thinks of a number, multiplies it by 9 and then adds 2. The result is 83. What is the number?
  12. 12.Solve: 7p − 42 = 7. What is p?
  13. 13.Vivaan’s mother is three times as old as Vivaan. Their ages add up to 40 years. How old is Vivaan?
  14. 14.Solve: 7p + 24 = 80. What is p?
  15. 15.Solve: 2t − 9 = 1. What is t?
  16. 16.Solve: 7(x + 1) = 49. What is x?
  17. 17.Solve: p/4 + 16 = 29. What is p?
  18. 18.Solve: 5y − 48 = 22. What is y?
  19. 19.Solve: 2y + 25 = 55. What is y?
  20. 20.Solve: x/6 + 1 = 8. What is x?
  21. 21.Solve: 4(m + 9) = 92. What is m?
  22. 22.Solve: t/9 + 11 = 23. What is t?
  23. 23.Solve: 6m − 18 = 6. What is m?
  24. 24.Tara’s mother is three times as old as Tara. Their ages add up to 60 years. How old is Tara?
  25. 25.Solve: 3(m + 5) = 48. What is m?
  26. 26.Solve: 4y + 26 = 86. What is y?
  27. 27.Solve: 4p + 6 = 50. What is p?
  28. 28.Solve: x/2 + 16 = 20. What is x?
  29. 29.Solve: t/4 + 10 = 17. What is t?
  30. 30.Solve: n/7 + 18 = 22. What is n?
  31. 31.Solve: 2n + 1 = 3. What is n?
  32. 32.Isha’s mother is four times as old as Isha. Their ages add up to 30 years. How old is Isha?
  33. 33.Arjun thinks of a number, multiplies it by 8 and then adds 4. The result is 60. What is the number?
  34. 34.Solve: x/9 + 12 = 18. What is x?
  35. 35.Solve: m/4 + 10 = 22. What is m?
  36. 36.Solve: 4x + 28 = 32. What is x?
  37. 37.Solve: 3x + 16 = 61. What is x?
  38. 38.Isha is 3 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  39. 39.Solve: 7y + 9 = 100. What is y?
  40. 40.Lakshmi is 1 years older than a cousin. Their ages add up to 31 years. How old is the cousin?

Answer key

  1. 54
  2. 5
  3. 5
  4. 60
  5. 12
  6. 7
  7. 11
  8. 11
  9. 5
  10. 13
  11. 9
  12. 7
  13. 10
  14. 8
  15. 5
  16. 6
  17. 52
  18. 14
  19. 15
  20. 42
  21. 14
  22. 108
  23. 4
  24. 15
  25. 11
  26. 15
  27. 11
  28. 8
  29. 28
  30. 28
  31. 1
  32. 6
  33. 7
  34. 54
  35. 48
  36. 1
  37. 15
  38. 4
  39. 13
  40. 15

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets