← Linear equations in one variable lesson New set →

Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 645 · 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.Solve: p/2 + p/6 = 12. What is p?
  2. 2.The sum of four consecutive whole numbers is 74. What is the largest of them?
  3. 3.The length of a rectangle is 7 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
  4. 4.A father is 26 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
  5. 5.Solve: 5t + 12 = t + 24. What is t?
  6. 6.Solve: y/3 + y/2 = 15. What is y?
  7. 7.The sum of three consecutive whole numbers is 138. What is the largest of them?
  8. 8.Solve: 8m + 12 = m + 82. What is m?
  9. 9.Solve: 5x + 13 = 3x + 41. What is x?
  10. 10.Solve: 4(t − 2) = 2t + 12. What is t?
  11. 11.Solve: 3(y − 4) = y + 16. What is y?
  12. 12.Solve: 4m + 15 = 2m + 19. What is m?
  13. 13.Solve: 3p + 11 = p + 17. What is p?
  14. 14.Solve: 6(m − 5) = m + 30. What is m?
  15. 15.The length of a rectangle is 1 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
  16. 16.A father is 13 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  17. 17.The length of a rectangle is 3 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
  18. 18.The length of a rectangle is 7 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
  19. 19.Solve: 6(x − 1) = 3x + 15. What is x?
  20. 20.The sum of three consecutive whole numbers is 156. What is the largest of them?
  21. 21.Solve: 5p + 12 = 3p + 38. What is p?
  22. 22.Solve: y/2 + y/3 = 25. What is y?
  23. 23.Solve: n/3 + n/6 = 9. What is n?
  24. 24.Solve: x/6 + x/2 = 16. What is x?
  25. 25.Solve: 4m + 13 = m + 40. What is m?
  26. 26.Solve: 8n + 5 = 4n + 21. What is n?
  27. 27.Solve: 3(n − 1) = n + 13. What is n?
  28. 28.The length of a rectangle is 3 cm more than its width. Its perimeter is 18 cm. What is its width (in cm)?
  29. 29.Solve: 3(m − 4) = m + 20. What is m?
  30. 30.The length of a rectangle is 10 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
  31. 31.A father is 45 years older than his son. In 4 years, the father will be four times as old as his son. How old is the son now?
  32. 32.Solve: n/6 + n/5 = 77. What is n?
  33. 33.Solve: 6(y − 1) = 3y + 3. What is y?
  34. 34.The length of a rectangle is 14 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
  35. 35.Solve: 9t + 7 = 2t + 14. What is t?
  36. 36.Solve: 4p + 2 = 3p + 8. What is p?
  37. 37.The sum of two consecutive whole numbers is 95. What is the largest of them?
  38. 38.Solve: 6(t − 5) = 2t + 26. What is t?
  39. 39.Solve: 4(y − 5) = 3y + 10. What is y?
  40. 40.The sum of two consecutive whole numbers is 27. What is the largest of them?

Answer key

  1. 18
  2. 20
  3. 15
  4. 12
  5. 3
  6. 18
  7. 47
  8. 10
  9. 14
  10. 10
  11. 14
  12. 2
  13. 3
  14. 12
  15. 21
  16. 10
  17. 21
  18. 24
  19. 7
  20. 53
  21. 13
  22. 30
  23. 18
  24. 24
  25. 9
  26. 4
  27. 8
  28. 3
  29. 16
  30. 12
  31. 11
  32. 210
  33. 3
  34. 20
  35. 1
  36. 6
  37. 48
  38. 14
  39. 30
  40. 14

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