← Linear equations in one variable lesson New set →

Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 945 · 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 two consecutive whole numbers is 21. What is the smallest of them?
  2. 2.The length of a rectangle is 2 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
  3. 3.The sum of four consecutive whole numbers is 170. What is the largest of them?
  4. 4.Solve: 4(p − 4) = 2p + 4. What is p?
  5. 5.A father is 24 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?
  6. 6.Solve: 8t + 6 = 6t + 20. What is t?
  7. 7.The sum of four consecutive whole numbers is 238. What is the largest of them?
  8. 8.Solve: p/3 + p/4 = 49. What is p?
  9. 9.Solve: 6m + 1 = 3m + 4. What is m?
  10. 10.Solve: 5(x − 4) = x + 32. What is x?
  11. 11.A father is 20 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?
  12. 12.The length of a rectangle is 14 cm more than its width. Its perimeter is 76 cm. What is its width (in cm)?
  13. 13.A father is 10 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  14. 14.A father is 36 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?
  15. 15.Solve: 4n + 16 = 3n + 27. What is n?
  16. 16.Solve: n/3 + n/2 = 20. What is n?
  17. 17.The sum of two consecutive whole numbers is 17. What is the largest of them?
  18. 18.Solve: 3(m − 3) = 2m + 1. What is m?
  19. 19.Solve: 3(x − 5) = x + 7. What is x?
  20. 20.A father is 26 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?
  21. 21.Solve: 5(x − 4) = 3x + 12. What is x?
  22. 22.Solve: y/6 + y/2 = 20. What is y?
  23. 23.The length of a rectangle is 7 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
  24. 24.Solve: 4y + 3 = y + 33. What is y?
  25. 25.Solve: 3n + 15 = n + 45. What is n?
  26. 26.The sum of three consecutive whole numbers is 60. What is the largest of them?
  27. 27.Solve: x/2 + x/3 = 35. What is x?
  28. 28.A father is 16 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?
  29. 29.The sum of three consecutive whole numbers is 21. What is the largest of them?
  30. 30.Solve: 9t + 6 = 6t + 12. What is t?
  31. 31.Solve: 5(x − 4) = 3x + 14. What is x?
  32. 32.Solve: 3m + 17 = m + 45. What is m?
  33. 33.Solve: 3(y − 3) = y + 3. What is y?
  34. 34.Solve: 3p + 6 = 2p + 16. What is p?
  35. 35.The sum of two consecutive whole numbers is 13. What is the smallest of them?
  36. 36.The sum of three consecutive whole numbers is 33. What is the smallest of them?
  37. 37.Solve: y/6 + y/2 = 28. What is y?
  38. 38.A father is 22 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?
  39. 39.Solve: 6p + 13 = 5p + 17. What is p?
  40. 40.Solve: y/3 + y/2 = 35. What is y?

Answer key

  1. 10
  2. 11
  3. 44
  4. 10
  5. 3
  6. 7
  7. 61
  8. 84
  9. 1
  10. 13
  11. 2
  12. 12
  13. 9
  14. 11
  15. 11
  16. 24
  17. 9
  18. 10
  19. 11
  20. 8
  21. 16
  22. 30
  23. 21
  24. 10
  25. 15
  26. 21
  27. 42
  28. 6
  29. 8
  30. 2
  31. 17
  32. 14
  33. 6
  34. 10
  35. 6
  36. 10
  37. 42
  38. 6
  39. 4
  40. 42

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