← Linear equations in one variable lesson New set →

Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 457 · 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 sum of four consecutive whole numbers is 230. What is the largest of them?
  2. 2.Solve: y/6 + y/2 = 24. What is y?
  3. 3.Solve: 7t + 6 = 4t + 51. What is t?
  4. 4.Solve: 3y + 11 = y + 35. What is y?
  5. 5.Solve: 5x + 10 = 4x + 11. What is x?
  6. 6.The sum of two consecutive whole numbers is 75. What is the smallest of them?
  7. 7.Solve: 5(n − 1) = 2n + 4. What is n?
  8. 8.Solve: 4m + 1 = 3m + 7. What is m?
  9. 9.Solve: m/4 + m/2 = 24. What is m?
  10. 10.The length of a rectangle is 3 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
  11. 11.Solve: y/3 + y/2 = 10. What is y?
  12. 12.The sum of three consecutive whole numbers is 129. What is the largest of them?
  13. 13.Solve: 4(y − 3) = 2y + 20. What is y?
  14. 14.The length of a rectangle is 13 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
  15. 15.Solve: x/2 + x/4 = 24. What is x?
  16. 16.Solve: y/2 + y/6 = 8. What is y?
  17. 17.Solve: x/3 + x/5 = 8. What is x?
  18. 18.Solve: x/2 + x/3 = 25. What is x?
  19. 19.Solve: 5(t − 2) = t + 2. What is t?
  20. 20.A father is 19 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  21. 21.The length of a rectangle is 14 cm more than its width. Its perimeter is 140 cm. What is its width (in cm)?
  22. 22.Solve: 6m + 18 = 2m + 26. What is m?
  23. 23.A father is 54 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?
  24. 24.Solve: 7p + 13 = 4p + 25. What is p?
  25. 25.A father is 8 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  26. 26.Solve: 3y + 9 = y + 23. What is y?
  27. 27.A father is 36 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?
  28. 28.Solve: 5p + 8 = 4p + 12. What is p?
  29. 29.A father is 30 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?
  30. 30.The length of a rectangle is 10 cm more than its width. Its perimeter is 36 cm. What is its width (in cm)?
  31. 31.A father is 12 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  32. 32.Solve: 3(m − 5) = m + 5. What is m?
  33. 33.Solve: 5(y − 2) = 4y + 7. What is y?
  34. 34.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?
  35. 35.The length of a rectangle is 15 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
  36. 36.Solve: 3(x − 4) = x + 16. What is x?
  37. 37.Solve: 8n + 17 = n + 24. What is n?
  38. 38.A father is 27 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?
  39. 39.A father is 32 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
  40. 40.Solve: 5y + 18 = 3y + 28. What is y?

Answer key

  1. 59
  2. 36
  3. 15
  4. 12
  5. 1
  6. 37
  7. 3
  8. 6
  9. 32
  10. 24
  11. 12
  12. 44
  13. 16
  14. 10
  15. 32
  16. 12
  17. 15
  18. 30
  19. 3
  20. 11
  21. 28
  22. 2
  23. 11
  24. 4
  25. 7
  26. 7
  27. 7
  28. 4
  29. 8
  30. 4
  31. 4
  32. 10
  33. 17
  34. 4
  35. 8
  36. 14
  37. 1
  38. 4
  39. 8
  40. 5

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