← Linear equations in one variable lesson New set →

Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 868 · 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.A father is 39 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?
  2. 2.Solve: 8y + 15 = y + 29. What is y?
  3. 3.The length of a rectangle is 3 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
  4. 4.Solve: y/2 + y/5 = 35. What is y?
  5. 5.Solve: 3(m − 2) = m + 26. What is m?
  6. 6.The length of a rectangle is 2 cm more than its width. Its perimeter is 124 cm. What is its width (in cm)?
  7. 7.The length of a rectangle is 15 cm more than its width. Its perimeter is 146 cm. What is its width (in cm)?
  8. 8.The sum of three consecutive whole numbers is 111. What is the largest of them?
  9. 9.Solve: 8y + 14 = 4y + 30. What is y?
  10. 10.The sum of three consecutive whole numbers is 180. What is the smallest of them?
  11. 11.Solve: t/2 + t/5 = 35. What is t?
  12. 12.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?
  13. 13.A father is 28 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?
  14. 14.Solve: p/5 + p/6 = 44. What is p?
  15. 15.Solve: t/4 + t/6 = 10. What is t?
  16. 16.A father is 22 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
  17. 17.A father is 39 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?
  18. 18.A father is 5 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  19. 19.Solve: 3(p − 3) = p + 11. What is p?
  20. 20.Solve: 6p + 14 = 5p + 28. What is p?
  21. 21.A father is 33 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?
  22. 22.Solve: 5n + 10 = n + 50. What is n?
  23. 23.Solve: m/5 + m/3 = 8. What is m?
  24. 24.Solve: t/6 + t/4 = 10. What is t?
  25. 25.Solve: 5x + 8 = 2x + 23. What is x?
  26. 26.Solve: 7p + 3 = 2p + 18. What is p?
  27. 27.Solve: 4(m − 5) = 2m + 6. What is m?
  28. 28.Solve: 3(p − 3) = p + 25. What is p?
  29. 29.Solve: 9x + 20 = 6x + 65. What is x?
  30. 30.A father is 18 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?
  31. 31.Solve: 4t + 17 = 3t + 22. What is t?
  32. 32.The sum of four consecutive whole numbers is 202. What is the largest of them?
  33. 33.Solve: 5(y − 1) = y + 27. What is y?
  34. 34.Solve: 5(m − 1) = 3m + 13. What is m?
  35. 35.A father is 15 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?
  36. 36.The sum of four consecutive whole numbers is 214. What is the smallest of them?
  37. 37.Solve: 3t + 2 = t + 24. What is t?
  38. 38.Solve: 3(p − 5) = p + 7. What is p?
  39. 39.The sum of four consecutive whole numbers is 174. What is the smallest of them?
  40. 40.Solve: 5n + 12 = 2n + 57. What is n?

Answer key

  1. 9
  2. 2
  3. 11
  4. 50
  5. 16
  6. 30
  7. 29
  8. 38
  9. 4
  10. 59
  11. 50
  12. 12
  13. 12
  14. 120
  15. 24
  16. 10
  17. 8
  18. 2
  19. 10
  20. 14
  21. 10
  22. 10
  23. 15
  24. 24
  25. 5
  26. 3
  27. 13
  28. 17
  29. 15
  30. 4
  31. 5
  32. 52
  33. 8
  34. 9
  35. 2
  36. 52
  37. 11
  38. 11
  39. 42
  40. 15

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