← Linear equations in one variable lesson New set →

Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 858 · 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.A father is 12 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
  2. 2.Solve: 8m + 19 = 2m + 25. What is m?
  3. 3.Solve: x/6 + x/2 = 32. What is x?
  4. 4.The length of a rectangle is 3 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
  5. 5.Solve: n/5 + n/6 = 33. What is n?
  6. 6.Solve: 3(t − 5) = t + 21. What is t?
  7. 7.The sum of three consecutive whole numbers is 180. What is the smallest of them?
  8. 8.A father is 21 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?
  9. 9.The sum of four consecutive whole numbers is 154. What is the largest of them?
  10. 10.Solve: 3t + 6 = t + 12. What is t?
  11. 11.Solve: 6p + 14 = p + 29. What is p?
  12. 12.The length of a rectangle is 12 cm more than its width. Its perimeter is 76 cm. What is its width (in cm)?
  13. 13.Solve: m/4 + m/6 = 40. What is m?
  14. 14.A father is 21 years older than his son. In 2 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 3 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
  16. 16.Solve: 4(m − 5) = 3m + 5. What is m?
  17. 17.Solve: 5(n − 1) = 3n + 9. What is n?
  18. 18.The length of a rectangle is 13 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
  19. 19.The sum of three consecutive whole numbers is 36. What is the largest of them?
  20. 20.The sum of three consecutive whole numbers is 27. What is the largest of them?
  21. 21.Solve: 3(y − 4) = 2y + 3. What is y?
  22. 22.Solve: 5x + 12 = 4x + 16. What is x?
  23. 23.The sum of three consecutive whole numbers is 45. What is the largest of them?
  24. 24.Solve: t/6 + t/4 = 5. What is t?
  25. 25.A father is 54 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?
  26. 26.The sum of three consecutive whole numbers is 138. What is the largest of them?
  27. 27.Solve: x/2 + x/4 = 18. What is x?
  28. 28.Solve: 6t + 12 = 4t + 40. What is t?
  29. 29.Solve: 6(m − 5) = 2m + 10. What is m?
  30. 30.The length of a rectangle is 14 cm more than its width. Its perimeter is 84 cm. What is its width (in cm)?
  31. 31.A father is 24 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
  32. 32.The length of a rectangle is 15 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
  33. 33.A father is 18 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
  34. 34.Solve: 5(n − 5) = 4n + 2. What is n?
  35. 35.Solve: 3(y − 3) = y + 23. What is y?
  36. 36.The sum of two consecutive whole numbers is 91. What is the largest of them?
  37. 37.Solve: 4n + 3 = 2n + 13. What is n?
  38. 38.Solve: 7p + 8 = 2p + 58. What is p?
  39. 39.Solve: 3(y − 1) = 2y + 5. What is y?
  40. 40.Solve: 4(n − 4) = n + 5. What is n?

Answer key

  1. 3
  2. 1
  3. 48
  4. 23
  5. 90
  6. 18
  7. 59
  8. 3
  9. 40
  10. 3
  11. 3
  12. 13
  13. 96
  14. 5
  15. 9
  16. 25
  17. 7
  18. 12
  19. 13
  20. 10
  21. 15
  22. 4
  23. 16
  24. 12
  25. 11
  26. 47
  27. 24
  28. 14
  29. 10
  30. 14
  31. 7
  32. 23
  33. 4
  34. 27
  35. 16
  36. 46
  37. 5
  38. 10
  39. 8
  40. 7

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