← Linear equations in one variable lesson New set →

Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 637 · 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: y/5 + y/4 = 36. What is y?
  2. 2.A father is 24 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
  3. 3.Solve: t/4 + t/2 = 24. What is t?
  4. 4.Solve: 3(n − 2) = n + 24. What is n?
  5. 5.The length of a rectangle is 10 cm more than its width. Its perimeter is 56 cm. What is its width (in cm)?
  6. 6.Solve: 6(y − 4) = 2y + 20. What is y?
  7. 7.The length of a rectangle is 6 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
  8. 8.Solve: 5t + 20 = t + 68. What is t?
  9. 9.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?
  10. 10.The length of a rectangle is 14 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
  11. 11.Solve: n/3 + n/5 = 64. What is n?
  12. 12.The sum of two consecutive whole numbers is 55. What is the largest of them?
  13. 13.Solve: x/5 + x/2 = 14. What is x?
  14. 14.Solve: m/5 + m/2 = 14. What is m?
  15. 15.The length of a rectangle is 3 cm more than its width. Its perimeter is 22 cm. What is its width (in cm)?
  16. 16.Solve: m/2 + m/5 = 28. What is m?
  17. 17.Solve: 9t + 17 = 5t + 25. What is t?
  18. 18.The length of a rectangle is 1 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
  19. 19.The sum of four consecutive whole numbers is 230. What is the smallest of them?
  20. 20.The sum of four consecutive whole numbers is 78. What is the largest of them?
  21. 21.Solve: n/2 + n/3 = 10. What is n?
  22. 22.Solve: y/6 + y/3 = 9. What is y?
  23. 23.The length of a rectangle is 15 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
  24. 24.The length of a rectangle is 15 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
  25. 25.Solve: 5(y − 3) = 4y + 4. What is y?
  26. 26.Solve: 3(n − 2) = 2n + 5. What is n?
  27. 27.The length of a rectangle is 15 cm more than its width. Its perimeter is 138 cm. What is its width (in cm)?
  28. 28.The sum of four consecutive whole numbers is 106. What is the smallest of them?
  29. 29.The length of a rectangle is 14 cm more than its width. Its perimeter is 56 cm. What is its width (in cm)?
  30. 30.Solve: 9x + 3 = 7x + 11. What is x?
  31. 31.Solve: 9y + 5 = 2y + 12. What is y?
  32. 32.Solve: m/4 + m/5 = 27. What is m?
  33. 33.A father is 36 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
  34. 34.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?
  35. 35.Solve: 6n + 16 = 4n + 32. What is n?
  36. 36.A father is 26 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?
  37. 37.Solve: 9p + 3 = 2p + 94. What is p?
  38. 38.Solve: y/2 + y/5 = 56. What is y?
  39. 39.Solve: n/2 + n/3 = 5. What is n?
  40. 40.Solve: n/4 + n/5 = 18. What is n?

Answer key

  1. 80
  2. 5
  3. 32
  4. 15
  5. 9
  6. 11
  7. 7
  8. 12
  9. 4
  10. 20
  11. 120
  12. 28
  13. 20
  14. 20
  15. 4
  16. 40
  17. 2
  18. 30
  19. 56
  20. 21
  21. 12
  22. 18
  23. 10
  24. 20
  25. 19
  26. 11
  27. 27
  28. 25
  29. 7
  30. 4
  31. 1
  32. 60
  33. 11
  34. 3
  35. 8
  36. 12
  37. 13
  38. 80
  39. 6
  40. 40

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