← Linear equations in one variable lesson New set →

Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 581 · 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: 6(m − 5) = 3m + 6. What is m?
  2. 2.The length of a rectangle is 5 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
  3. 3.A father is 21 years older than his son. In 4 years, the father will be four times as old as his son. How old is the son now?
  4. 4.Solve: 4(y − 1) = y + 8. What is y?
  5. 5.Solve: 9p + 6 = 7p + 14. What is p?
  6. 6.Solve: 9n + 5 = 2n + 103. What is n?
  7. 7.A father is 21 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?
  8. 8.The sum of three consecutive whole numbers is 48. What is the largest of them?
  9. 9.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?
  10. 10.The length of a rectangle is 11 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
  11. 11.Solve: 4n + 20 = 3n + 23. What is n?
  12. 12.Solve: 4(p − 1) = 2p + 18. What is p?
  13. 13.The length of a rectangle is 5 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
  14. 14.Solve: y/4 + y/2 = 18. What is y?
  15. 15.A father is 14 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  16. 16.The length of a rectangle is 11 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
  17. 17.Solve: 5t + 4 = t + 64. What is t?
  18. 18.Solve: 3x + 17 = 2x + 24. What is x?
  19. 19.The length of a rectangle is 9 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
  20. 20.The length of a rectangle is 8 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
  21. 21.Solve: m/2 + m/5 = 42. What is m?
  22. 22.The length of a rectangle is 2 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
  23. 23.The length of a rectangle is 7 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
  24. 24.A father is 11 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  25. 25.Solve: m/3 + m/4 = 7. What is m?
  26. 26.Solve: y/4 + y/2 = 12. What is y?
  27. 27.The sum of three consecutive whole numbers is 156. What is the smallest of them?
  28. 28.Solve: 5(t − 3) = 3t + 7. What is t?
  29. 29.A father is 4 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  30. 30.The sum of four consecutive whole numbers is 206. What is the largest of them?
  31. 31.The sum of four consecutive whole numbers is 94. What is the largest of them?
  32. 32.A father is 13 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  33. 33.The sum of four consecutive whole numbers is 110. What is the smallest of them?
  34. 34.Solve: 9p + 6 = 7p + 24. What is p?
  35. 35.Solve: 4(t − 1) = t + 5. What is t?
  36. 36.Solve: 4y + 2 = 3y + 10. What is y?
  37. 37.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?
  38. 38.The length of a rectangle is 2 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
  39. 39.A father is 36 years older than his son. In 4 years, the father will be four times as old as his son. How old is the son now?
  40. 40.Solve: t/2 + t/4 = 21. What is t?

Answer key

  1. 12
  2. 13
  3. 3
  4. 4
  5. 4
  6. 14
  7. 2
  8. 17
  9. 7
  10. 10
  11. 3
  12. 11
  13. 15
  14. 24
  15. 8
  16. 4
  17. 15
  18. 7
  19. 10
  20. 6
  21. 60
  22. 19
  23. 25
  24. 8
  25. 12
  26. 16
  27. 51
  28. 11
  29. 3
  30. 53
  31. 25
  32. 5
  33. 26
  34. 9
  35. 3
  36. 8
  37. 6
  38. 14
  39. 8
  40. 28

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