← Linear equations in one variable lesson New set →

Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 784 · 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 9 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
  2. 2.Solve: 5(n − 2) = n + 6. What is n?
  3. 3.A father is 20 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  4. 4.The length of a rectangle is 5 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
  5. 5.Solve: m/4 + m/6 = 10. What is m?
  6. 6.Solve: 8y + 18 = 5y + 51. What is y?
  7. 7.The length of a rectangle is 12 cm more than its width. Its perimeter is 128 cm. What is its width (in cm)?
  8. 8.The sum of three consecutive whole numbers is 159. What is the smallest of them?
  9. 9.Solve: 6(p − 1) = 3p + 3. What is p?
  10. 10.Solve: p/5 + p/4 = 18. What is p?
  11. 11.Solve: y/6 + y/5 = 77. What is y?
  12. 12.The sum of three consecutive whole numbers is 153. What is the smallest of them?
  13. 13.Solve: x/4 + x/3 = 35. What is x?
  14. 14.Solve: 5(y − 2) = y + 14. What is y?
  15. 15.Solve: n/4 + n/6 = 20. What is n?
  16. 16.The length of a rectangle is 14 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
  17. 17.Solve: y/2 + y/6 = 4. What is y?
  18. 18.Solve: t/4 + t/2 = 3. What is t?
  19. 19.Solve: 6(p − 4) = 5p + 8. What is p?
  20. 20.Solve: 6y + 1 = 5y + 15. What is y?
  21. 21.The sum of two consecutive whole numbers is 51. What is the largest of them?
  22. 22.Solve: 5x + 18 = x + 70. What is x?
  23. 23.The length of a rectangle is 9 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
  24. 24.A father is 51 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?
  25. 25.Solve: 5(p − 3) = 2p + 21. What is p?
  26. 26.Solve: x/4 + x/6 = 30. What is x?
  27. 27.Solve: n/6 + n/5 = 55. What is n?
  28. 28.Solve: p/5 + p/4 = 54. What is p?
  29. 29.Solve: 6(x − 2) = x + 33. What is x?
  30. 30.Solve: y/2 + y/4 = 18. What is y?
  31. 31.The length of a rectangle is 15 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
  32. 32.A father is 9 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  33. 33.Solve: y/2 + y/3 = 35. What is y?
  34. 34.A father is 10 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  35. 35.Solve: 9p + 12 = 8p + 19. What is p?
  36. 36.Solve: p/3 + p/2 = 30. What is p?
  37. 37.Solve: 3(x − 3) = 2x + 7. What is x?
  38. 38.Solve: 4(m − 5) = m + 34. What is m?
  39. 39.Solve: 4(p − 4) = 3p + 11. What is p?
  40. 40.A father is 19 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?

Answer key

  1. 11
  2. 4
  3. 12
  4. 28
  5. 24
  6. 11
  7. 26
  8. 52
  9. 3
  10. 40
  11. 210
  12. 50
  13. 60
  14. 6
  15. 48
  16. 22
  17. 6
  18. 4
  19. 32
  20. 14
  21. 26
  22. 13
  23. 17
  24. 10
  25. 12
  26. 72
  27. 150
  28. 120
  29. 9
  30. 24
  31. 14
  32. 5
  33. 42
  34. 3
  35. 7
  36. 36
  37. 16
  38. 18
  39. 27
  40. 12

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