← Linear equations in one variable lesson New set →

Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 649 · 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: 4(p − 3) = 2p + 20. What is p?
  2. 2.The sum of two consecutive whole numbers is 63. What is the smallest of them?
  3. 3.Solve: 6(p − 3) = 2p + 22. What is p?
  4. 4.Solve: 4m + 8 = 2m + 26. What is m?
  5. 5.The sum of four consecutive whole numbers is 182. What is the largest of them?
  6. 6.A father is 24 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?
  7. 7.Solve: p/6 + p/4 = 30. What is p?
  8. 8.Solve: 3t + 3 = t + 13. What is t?
  9. 9.A father is 57 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
  10. 10.The sum of four consecutive whole numbers is 106. What is the smallest of them?
  11. 11.Solve: n/3 + n/4 = 14. What is n?
  12. 12.The sum of four consecutive whole numbers is 114. What is the largest of them?
  13. 13.Solve: 3y + 11 = y + 39. What is y?
  14. 14.A father is 21 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
  15. 15.The length of a rectangle is 14 cm more than its width. Its perimeter is 140 cm. What is its width (in cm)?
  16. 16.The sum of three consecutive whole numbers is 63. What is the largest of them?
  17. 17.The sum of four consecutive whole numbers is 98. What is the largest of them?
  18. 18.A father is 39 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
  19. 19.Solve: 6(m − 4) = 5m + 7. What is m?
  20. 20.The length of a rectangle is 13 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
  21. 21.Solve: 8n + 6 = 5n + 30. What is n?
  22. 22.Solve: 5y + 4 = 3y + 6. What is y?
  23. 23.The length of a rectangle is 6 cm more than its width. Its perimeter is 72 cm. What is its width (in cm)?
  24. 24.Solve: x/3 + x/6 = 15. What is x?
  25. 25.The length of a rectangle is 1 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
  26. 26.Solve: y/3 + y/5 = 56. What is y?
  27. 27.A father is 16 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
  28. 28.Solve: 5p + 11 = 4p + 18. What is p?
  29. 29.The sum of four consecutive whole numbers is 166. What is the smallest of them?
  30. 30.The sum of three consecutive whole numbers is 174. What is the largest of them?
  31. 31.Solve: m/6 + m/3 = 24. What is m?
  32. 32.A father is 10 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
  33. 33.Solve: 4(m − 1) = 2m + 14. What is m?
  34. 34.Solve: 5(y − 5) = y + 51. What is y?
  35. 35.Solve: 5x + 20 = 2x + 56. What is x?
  36. 36.Solve: 3y + 8 = y + 26. What is y?
  37. 37.Solve: 4(t − 1) = 2t + 24. What is t?
  38. 38.The sum of two consecutive whole numbers is 49. What is the largest of them?
  39. 39.Solve: m/5 + m/3 = 40. What is m?
  40. 40.Solve: 6(m − 4) = 5m + 12. What is m?

Answer key

  1. 16
  2. 31
  3. 10
  4. 9
  5. 47
  6. 4
  7. 72
  8. 5
  9. 12
  10. 25
  11. 24
  12. 30
  13. 14
  14. 2
  15. 28
  16. 22
  17. 26
  18. 7
  19. 31
  20. 4
  21. 8
  22. 1
  23. 15
  24. 30
  25. 14
  26. 105
  27. 3
  28. 7
  29. 40
  30. 59
  31. 48
  32. 3
  33. 9
  34. 19
  35. 12
  36. 9
  37. 14
  38. 25
  39. 75
  40. 36

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