← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 622 · 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.Gurpreet thinks of a number, multiplies it by 4 and then adds 3. The result is 63. What is the number?
  2. 2.Dev thinks of a number, multiplies it by 3 and then adds 13. The result is 31. What is the number?
  3. 3.Priya thinks of a number, multiplies it by 8 and then adds 17. The result is 33. What is the number?
  4. 4.Solve: 4y − 3 = 1. What is y?
  5. 5.Solve: 4x + 27 = 79. What is x?
  6. 6.Vivaan thinks of a number, multiplies it by 8 and then adds 13. The result is 117. What is the number?
  7. 7.Solve: 6n − 3 = 15. What is n?
  8. 8.Solve: 4(p + 9) = 84. What is p?
  9. 9.Ishaan thinks of a number, multiplies it by 4 and then adds 28. The result is 72. What is the number?
  10. 10.Aarav thinks of a number, multiplies it by 4 and then adds 29. The result is 61. What is the number?
  11. 11.Solve: y/9 + 2 = 15. What is y?
  12. 12.Solve: 4p + 12 = 64. What is p?
  13. 13.Solve: t/9 + 10 = 19. What is t?
  14. 14.Solve: 3p + 15 = 21. What is p?
  15. 15.Solve: 3t − 20 = 1. What is t?
  16. 16.Lakshmi’s mother is twice as old as Lakshmi. Their ages add up to 39 years. How old is Lakshmi?
  17. 17.Solve: p/9 + 4 = 8. What is p?
  18. 18.Diya thinks of a number, multiplies it by 8 and then adds 4. The result is 20. What is the number?
  19. 19.Tara’s mother is twice as old as Tara. Their ages add up to 45 years. How old is Tara?
  20. 20.Solve: 2(m + 6) = 38. What is m?
  21. 21.Solve: 6(t + 1) = 54. What is t?
  22. 22.Solve: 4n + 9 = 69. What is n?
  23. 23.Solve: 7(y + 1) = 49. What is y?
  24. 24.Kabir is 8 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  25. 25.Vivaan’s mother is three times as old as Vivaan. Their ages add up to 36 years. How old is Vivaan?
  26. 26.Priya is 2 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  27. 27.Solve: y/3 + 12 = 14. What is y?
  28. 28.Solve: 2(t + 3) = 12. What is t?
  29. 29.Solve: n/7 + 6 = 11. What is n?
  30. 30.Aditya is 1 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  31. 31.Solve: 7(p + 5) = 63. What is p?
  32. 32.Nisha thinks of a number, multiplies it by 4 and then adds 15. The result is 31. What is the number?
  33. 33.Saanvi’s mother is four times as old as Saanvi. Their ages add up to 55 years. How old is Saanvi?
  34. 34.Solve: 5t − 21 = 14. What is t?
  35. 35.Isha is 5 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  36. 36.Joseph’s mother is three times as old as Joseph. Their ages add up to 60 years. How old is Joseph?
  37. 37.Solve: 6(t + 5) = 36. What is t?
  38. 38.Solve: 2p − 8 = 2. What is p?
  39. 39.Solve: 8(t + 3) = 72. What is t?
  40. 40.Solve: 2(y + 1) = 16. What is y?

Answer key

  1. 15
  2. 6
  3. 2
  4. 1
  5. 13
  6. 13
  7. 3
  8. 12
  9. 11
  10. 8
  11. 117
  12. 13
  13. 81
  14. 2
  15. 7
  16. 13
  17. 36
  18. 2
  19. 15
  20. 13
  21. 8
  22. 15
  23. 6
  24. 7
  25. 9
  26. 12
  27. 6
  28. 3
  29. 35
  30. 5
  31. 4
  32. 4
  33. 11
  34. 7
  35. 13
  36. 15
  37. 1
  38. 5
  39. 6
  40. 7

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