← Linear equations in one variable lesson New set →

Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 843 · 40 sums
TalentJR

The method (Letters one side, numbers the other): Open brackets: a(x − b) = ax − ab. Fractions: multiply both sides by the LCM of the denominators — x/3 + x/4 = 14 → 4x + 3x = 168. Move letter terms to one side and numbers to the other (change the sign when a term crosses =), then divide. Word problems: consecutive numbers are n, n + 1, n + 2 …; ages in y years are age + y.

NameDateTime takenScore ___ / 40
  1. 1.The sum of three consecutive whole numbers is 117. What is the largest of them?
  2. 2.The sum of four consecutive whole numbers is 46. What is the smallest of them?
  3. 3.Solve: 6(p − 1) = 3p + 21. What is p?
  4. 4.Solve: 4(x − 1) = 3x + 3. What is x?
  5. 5.Solve: p/3 + p/2 = 30. What is p?
  6. 6.Solve: 5y + 4 = 4y + 14. What is y?
  7. 7.Solve: p/6 + p/3 = 18. What is p?
  8. 8.Solve: 3y + 7 = 2y + 12. What is y?
  9. 9.Solve: 6t + 11 = 3t + 53. What is t?
  10. 10.Solve: t/2 + t/4 = 15. What is t?
  11. 11.Solve: n/2 + n/6 = 28. What is n?
  12. 12.The sum of three consecutive whole numbers is 123. What is the largest of them?
  13. 13.Solve: 4p + 16 = p + 31. What is p?
  14. 14.The length of a rectangle is 9 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
  15. 15.Solve: 8m + 14 = 5m + 32. What is m?
  16. 16.A father is 9 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  17. 17.Solve: 7p + 18 = 6p + 22. What is p?
  18. 18.Solve: 5(n − 4) = 3n + 6. What is n?
  19. 19.Solve: 4(t − 3) = 3t + 4. What is t?
  20. 20.The length of a rectangle is 8 cm more than its width. Its perimeter is 84 cm. What is its width (in cm)?
  21. 21.The sum of two consecutive whole numbers is 81. What is the largest of them?
  22. 22.Solve: n/3 + n/6 = 12. What is n?
  23. 23.Solve: 3x + 5 = x + 23. What is x?
  24. 24.Solve: x/6 + x/4 = 10. What is x?
  25. 25.Solve: 6x + 18 = 3x + 21. What is x?
  26. 26.Solve: m/3 + m/2 = 20. What is m?
  27. 27.The sum of four consecutive whole numbers is 30. What is the largest of them?
  28. 28.Solve: 5(n − 3) = 3n + 11. What is n?
  29. 29.The length of a rectangle is 9 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
  30. 30.Solve: m/4 + m/2 = 3. What is m?
  31. 31.Solve: y/2 + y/3 = 5. What is y?
  32. 32.Solve: 4(t − 4) = 2t + 20. What is t?
  33. 33.The sum of two consecutive whole numbers is 91. What is the smallest of them?
  34. 34.Solve: 3(m − 3) = m + 11. What is m?
  35. 35.The sum of three consecutive whole numbers is 135. What is the largest of them?
  36. 36.Solve: 3t + 11 = t + 21. What is t?
  37. 37.The length of a rectangle is 3 cm more than its width. Its perimeter is 126 cm. What is its width (in cm)?
  38. 38.Solve: 4x + 1 = x + 34. What is x?
  39. 39.The length of a rectangle is 7 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
  40. 40.The sum of three consecutive whole numbers is 159. What is the smallest of them?

Answer key

  1. 40
  2. 10
  3. 9
  4. 7
  5. 36
  6. 10
  7. 36
  8. 5
  9. 14
  10. 20
  11. 42
  12. 42
  13. 5
  14. 16
  15. 6
  16. 2
  17. 4
  18. 13
  19. 16
  20. 17
  21. 41
  22. 24
  23. 9
  24. 24
  25. 1
  26. 24
  27. 9
  28. 13
  29. 6
  30. 4
  31. 6
  32. 18
  33. 45
  34. 10
  35. 46
  36. 5
  37. 30
  38. 11
  39. 5
  40. 52

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