← Linear equations in one variable lesson New set →

Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 743 · 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.The length of a rectangle is 1 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
  2. 2.Solve: 5y + 3 = 2y + 24. What is y?
  3. 3.The length of a rectangle is 10 cm more than its width. Its perimeter is 28 cm. What is its width (in cm)?
  4. 4.Solve: 5(p − 3) = 3p + 19. What is p?
  5. 5.Solve: x/5 + x/6 = 11. What is x?
  6. 6.Solve: x/4 + x/2 = 6. What is x?
  7. 7.Solve: 3t + 11 = t + 13. What is t?
  8. 8.A father is 18 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?
  9. 9.The length of a rectangle is 4 cm more than its width. Its perimeter is 124 cm. What is its width (in cm)?
  10. 10.A father is 15 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  11. 11.Solve: 5x + 3 = 3x + 23. What is x?
  12. 12.Solve: y/3 + y/2 = 10. What is y?
  13. 13.Solve: 6y + 9 = 3y + 36. What is y?
  14. 14.Solve: 4(x − 1) = 3x + 1. What is x?
  15. 15.Solve: x/2 + x/5 = 21. What is x?
  16. 16.Solve: 8p + 4 = 5p + 22. What is p?
  17. 17.The length of a rectangle is 3 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
  18. 18.Solve: 6(m − 4) = 2m + 24. What is m?
  19. 19.Solve: 3(t − 2) = t + 26. What is t?
  20. 20.The sum of four consecutive whole numbers is 222. What is the largest of them?
  21. 21.Solve: n/2 + n/4 = 21. What is n?
  22. 22.The length of a rectangle is 3 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
  23. 23.A father is 48 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?
  24. 24.Solve: 5(p − 5) = 2p + 23. What is p?
  25. 25.Solve: 4(n − 2) = 2n + 22. What is n?
  26. 26.Solve: p/6 + p/5 = 66. What is p?
  27. 27.A father is 12 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?
  28. 28.The length of a rectangle is 4 cm more than its width. Its perimeter is 36 cm. What is its width (in cm)?
  29. 29.Solve: 5p + 14 = p + 54. What is p?
  30. 30.Solve: 5(y − 1) = 3y + 23. What is y?
  31. 31.The length of a rectangle is 4 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
  32. 32.Solve: 3(m − 2) = m + 8. What is m?
  33. 33.Solve: 3n + 15 = n + 37. What is n?
  34. 34.The length of a rectangle is 1 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
  35. 35.Solve: x/3 + x/2 = 35. What is x?
  36. 36.The length of a rectangle is 14 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
  37. 37.Solve: p/3 + p/5 = 64. What is p?
  38. 38.Solve: 6y + 4 = 5y + 16. What is y?
  39. 39.The length of a rectangle is 3 cm more than its width. Its perimeter is 14 cm. What is its width (in cm)?
  40. 40.Solve: 9x + 19 = 3x + 85. What is x?

Answer key

  1. 26
  2. 7
  3. 2
  4. 17
  5. 30
  6. 8
  7. 1
  8. 8
  9. 29
  10. 7
  11. 10
  12. 12
  13. 9
  14. 5
  15. 30
  16. 6
  17. 23
  18. 12
  19. 16
  20. 57
  21. 28
  22. 6
  23. 12
  24. 16
  25. 15
  26. 180
  27. 4
  28. 7
  29. 10
  30. 14
  31. 27
  32. 7
  33. 11
  34. 14
  35. 42
  36. 3
  37. 120
  38. 12
  39. 2
  40. 11

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