← Linear equations in one variable lesson New set →

Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 94 · 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: 3(y − 1) = 2y + 4. What is y?
  2. 2.A father is 12 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
  3. 3.Solve: n/5 + n/4 = 9. What is n?
  4. 4.The length of a rectangle is 5 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
  5. 5.The sum of three consecutive whole numbers is 105. What is the smallest of them?
  6. 6.The length of a rectangle is 7 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
  7. 7.A father is 39 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?
  8. 8.Solve: x/2 + x/4 = 12. What is x?
  9. 9.Solve: 5n + 11 = 4n + 12. What is n?
  10. 10.Solve: m/5 + m/3 = 40. What is m?
  11. 11.The length of a rectangle is 6 cm more than its width. Its perimeter is 28 cm. What is its width (in cm)?
  12. 12.Solve: 7m + 9 = 4m + 30. What is m?
  13. 13.Solve: t/4 + t/6 = 5. What is t?
  14. 14.The length of a rectangle is 6 cm more than its width. Its perimeter is 128 cm. What is its width (in cm)?
  15. 15.Solve: y/6 + y/3 = 3. What is y?
  16. 16.Solve: 3p + 15 = 2p + 21. What is p?
  17. 17.The length of a rectangle is 3 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
  18. 18.Solve: 5(x − 5) = 4x + 2. What is x?
  19. 19.A father is 48 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
  20. 20.Solve: 4(y − 3) = y + 6. What is y?
  21. 21.Solve: m/5 + m/4 = 27. What is m?
  22. 22.Solve: p/5 + p/2 = 35. What is p?
  23. 23.Solve: 5(t − 4) = 4t + 13. What is t?
  24. 24.A father is 27 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: y/6 + y/3 = 6. What is y?
  26. 26.Solve: 3(m − 1) = 2m + 11. What is m?
  27. 27.The length of a rectangle is 3 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
  28. 28.Solve: 4x + 2 = 3x + 9. What is x?
  29. 29.A father is 17 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  30. 30.Solve: 5y + 8 = 3y + 14. What is y?
  31. 31.The length of a rectangle is 1 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
  32. 32.Solve: t/4 + t/2 = 21. What is t?
  33. 33.Solve: 8p + 19 = p + 110. What is p?
  34. 34.A father is 26 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
  35. 35.Solve: 8t + 9 = 3t + 34. What is t?
  36. 36.Solve: 3m + 9 = m + 33. What is m?
  37. 37.Solve: 5(y − 3) = 4y + 6. What is y?
  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.The length of a rectangle is 6 cm more than its width. Its perimeter is 36 cm. What is its width (in cm)?
  40. 40.Solve: 6(y − 5) = 5y + 12. What is y?

Answer key

  1. 7
  2. 3
  3. 20
  4. 7
  5. 34
  6. 20
  7. 10
  8. 16
  9. 1
  10. 75
  11. 4
  12. 7
  13. 12
  14. 29
  15. 6
  16. 6
  17. 5
  18. 27
  19. 11
  20. 6
  21. 60
  22. 50
  23. 33
  24. 2
  25. 12
  26. 14
  27. 24
  28. 7
  29. 12
  30. 3
  31. 23
  32. 28
  33. 13
  34. 10
  35. 5
  36. 12
  37. 21
  38. 7
  39. 6
  40. 42

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