← Linear equations in one variable lesson New set →

Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 371 · 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: 5x + 5 = 2x + 50. What is x?
  2. 2.A father is 33 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?
  3. 3.The sum of four consecutive whole numbers is 42. What is the largest of them?
  4. 4.Solve: 7x + 8 = 3x + 40. What is x?
  5. 5.Solve: y/6 + y/2 = 12. What is y?
  6. 6.Solve: 4(y − 3) = y + 9. What is y?
  7. 7.Solve: 6n + 16 = 5n + 19. What is n?
  8. 8.Solve: 6y + 18 = 5y + 24. What is y?
  9. 9.Solve: 5(x − 1) = 3x + 5. What is x?
  10. 10.The length of a rectangle is 9 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
  11. 11.Solve: p/6 + p/4 = 40. What is p?
  12. 12.The length of a rectangle is 14 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
  13. 13.The sum of three consecutive whole numbers is 123. What is the largest of them?
  14. 14.The length of a rectangle is 15 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
  15. 15.Solve: 3t + 5 = t + 11. What is t?
  16. 16.The length of a rectangle is 13 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
  17. 17.The sum of two consecutive whole numbers is 59. What is the largest of them?
  18. 18.Solve: 4(x − 2) = x + 28. What is x?
  19. 19.Solve: 5x + 9 = 3x + 19. What is x?
  20. 20.Solve: t/6 + t/2 = 28. What is t?
  21. 21.The length of a rectangle is 11 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
  22. 22.Solve: p/6 + p/2 = 20. What is p?
  23. 23.A father is 16 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?
  24. 24.Solve: 3(p − 1) = p + 21. What is p?
  25. 25.Solve: t/3 + t/6 = 6. What is t?
  26. 26.The length of a rectangle is 6 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
  27. 27.A father is 18 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  28. 28.Solve: 7t + 12 = 6t + 14. What is t?
  29. 29.Solve: 3(x − 1) = x + 17. What is x?
  30. 30.Solve: 3(p − 2) = p + 4. What is p?
  31. 31.The length of a rectangle is 15 cm more than its width. Its perimeter is 150 cm. What is its width (in cm)?
  32. 32.Solve: 3t + 9 = t + 31. What is t?
  33. 33.The length of a rectangle is 3 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
  34. 34.Solve: p/4 + p/5 = 63. What is p?
  35. 35.Solve: 6n + 7 = 2n + 55. What is n?
  36. 36.The length of a rectangle is 11 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
  37. 37.The sum of three consecutive whole numbers is 174. What is the smallest of them?
  38. 38.The length of a rectangle is 14 cm more than its width. Its perimeter is 56 cm. What is its width (in cm)?
  39. 39.Solve: 6(p − 4) = 3p + 21. What is p?
  40. 40.A father is 7 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?

Answer key

  1. 15
  2. 8
  3. 12
  4. 8
  5. 18
  6. 7
  7. 3
  8. 6
  9. 5
  10. 18
  11. 96
  12. 15
  13. 42
  14. 22
  15. 3
  16. 20
  17. 30
  18. 12
  19. 5
  20. 42
  21. 4
  22. 30
  23. 7
  24. 12
  25. 12
  26. 21
  27. 11
  28. 2
  29. 10
  30. 5
  31. 30
  32. 11
  33. 20
  34. 140
  35. 12
  36. 21
  37. 57
  38. 7
  39. 15
  40. 5

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