← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 260 · 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.Dev’s mother is twice as old as Dev. Their ages add up to 33 years. How old is Dev?
  2. 2.Joseph is 7 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  3. 3.Solve: 2y − 20 = 10. What is y?
  4. 4.Solve: 2(m + 5) = 16. What is m?
  5. 5.Joseph is 4 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  6. 6.Farhan is 5 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  7. 7.Solve: 8(y + 9) = 112. What is y?
  8. 8.Solve: x/5 + 4 = 9. What is x?
  9. 9.Solve: x/3 + 13 = 25. What is x?
  10. 10.Solve: 5(y + 3) = 20. What is y?
  11. 11.Solve: 6(y + 9) = 90. What is y?
  12. 12.Solve: m/8 + 5 = 9. What is m?
  13. 13.Solve: 2m + 3 = 11. What is m?
  14. 14.Kabir’s mother is four times as old as Kabir. Their ages add up to 20 years. How old is Kabir?
  15. 15.Solve: 3n + 27 = 42. What is n?
  16. 16.Solve: p/9 + 14 = 16. What is p?
  17. 17.Solve: 9n − 3 = 15. What is n?
  18. 18.Aarav thinks of a number, multiplies it by 7 and then adds 16. The result is 107. What is the number?
  19. 19.Solve: 2y − 3 = 1. What is y?
  20. 20.Solve: y/7 + 5 = 15. What is y?
  21. 21.Solve: 8x + 15 = 111. What is x?
  22. 22.Diya’s mother is four times as old as Diya. Their ages add up to 25 years. How old is Diya?
  23. 23.Solve: 7p + 3 = 52. What is p?
  24. 24.Solve: 8n − 17 = 15. What is n?
  25. 25.Solve: 9x + 2 = 83. What is x?
  26. 26.Solve: 2(t + 8) = 28. What is t?
  27. 27.Solve: 3m − 20 = 13. What is m?
  28. 28.Solve: 6p − 5 = 1. What is p?
  29. 29.Solve: 6p + 19 = 97. What is p?
  30. 30.Solve: x/3 + 14 = 16. What is x?
  31. 31.Karan thinks of a number, multiplies it by 6 and then adds 25. The result is 79. What is the number?
  32. 32.Solve: 7p − 19 = 16. What is p?
  33. 33.Solve: 5(y + 9) = 115. What is y?
  34. 34.Solve: 8x + 1 = 113. What is x?
  35. 35.Solve: 4n − 4 = 20. What is n?
  36. 36.Solve: x/2 + 14 = 16. What is x?
  37. 37.Solve: 5(n + 4) = 35. What is n?
  38. 38.Solve: 9t − 8 = 1. What is t?
  39. 39.Sneha is 5 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  40. 40.Solve: y/9 + 13 = 24. What is y?

Answer key

  1. 11
  2. 12
  3. 15
  4. 3
  5. 10
  6. 8
  7. 5
  8. 25
  9. 36
  10. 1
  11. 6
  12. 32
  13. 4
  14. 4
  15. 5
  16. 18
  17. 2
  18. 13
  19. 2
  20. 70
  21. 12
  22. 5
  23. 7
  24. 4
  25. 9
  26. 6
  27. 11
  28. 1
  29. 13
  30. 6
  31. 9
  32. 5
  33. 14
  34. 14
  35. 6
  36. 4
  37. 3
  38. 1
  39. 14
  40. 99

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