← Linear equations in one variable lesson New set →

Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 208 · 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 2 years, the father will be four times as old as his son. How old is the son now?
  2. 2.The sum of four consecutive whole numbers is 246. What is the smallest of them?
  3. 3.The length of a rectangle is 3 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
  4. 4.Solve: 4x + 3 = x + 42. What is x?
  5. 5.Solve: n/4 + n/3 = 49. What is n?
  6. 6.The length of a rectangle is 4 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
  7. 7.Solve: 8n + 20 = 3n + 65. What is n?
  8. 8.The length of a rectangle is 14 cm more than its width. Its perimeter is 128 cm. What is its width (in cm)?
  9. 9.Solve: 3n + 3 = n + 15. What is n?
  10. 10.The length of a rectangle is 1 cm more than its width. Its perimeter is 10 cm. What is its width (in cm)?
  11. 11.Solve: 3(x − 4) = x + 20. What is x?
  12. 12.The sum of four consecutive whole numbers is 42. What is the smallest of them?
  13. 13.The sum of three consecutive whole numbers is 114. What is the smallest of them?
  14. 14.Solve: 8y + 12 = y + 68. What is y?
  15. 15.The sum of four consecutive whole numbers is 94. What is the largest of them?
  16. 16.The length of a rectangle is 4 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
  17. 17.A father is 28 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
  18. 18.Solve: 3(x − 2) = 2x + 10. What is x?
  19. 19.Solve: 5(p − 3) = 2p + 9. What is p?
  20. 20.The length of a rectangle is 11 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
  21. 21.Solve: t/5 + t/6 = 22. What is t?
  22. 22.Solve: 4m + 12 = 3m + 19. What is m?
  23. 23.The length of a rectangle is 7 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
  24. 24.The sum of four consecutive whole numbers is 230. What is the smallest of them?
  25. 25.Solve: 4m + 5 = 2m + 7. What is m?
  26. 26.The length of a rectangle is 12 cm more than its width. Its perimeter is 72 cm. What is its width (in cm)?
  27. 27.Solve: 4x + 10 = 3x + 19. What is x?
  28. 28.The sum of two consecutive whole numbers is 101. What is the smallest of them?
  29. 29.A father is 15 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  30. 30.Solve: n/4 + n/6 = 15. What is n?
  31. 31.The sum of three consecutive whole numbers is 174. What is the smallest of them?
  32. 32.The sum of four consecutive whole numbers is 54. What is the largest of them?
  33. 33.The sum of three consecutive whole numbers is 183. What is the smallest of them?
  34. 34.Solve: y/5 + y/6 = 33. What is y?
  35. 35.A father is 30 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
  36. 36.Solve: 5(y − 1) = 3y + 25. What is y?
  37. 37.A father is 57 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?
  38. 38.The length of a rectangle is 3 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
  39. 39.The length of a rectangle is 11 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
  40. 40.Solve: 4m + 8 = 3m + 13. What is m?

Answer key

  1. 2
  2. 60
  3. 29
  4. 13
  5. 84
  6. 10
  7. 9
  8. 25
  9. 6
  10. 2
  11. 16
  12. 9
  13. 37
  14. 8
  15. 25
  16. 15
  17. 10
  18. 16
  19. 8
  20. 19
  21. 60
  22. 7
  23. 26
  24. 56
  25. 1
  26. 12
  27. 9
  28. 50
  29. 11
  30. 36
  31. 57
  32. 15
  33. 60
  34. 90
  35. 7
  36. 15
  37. 11
  38. 23
  39. 20
  40. 5

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