← Linear equations in one variable lesson New set →

Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 860 · 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 length of a rectangle is 4 cm more than its width. Its perimeter is 28 cm. What is its width (in cm)?
  2. 2.Solve: 9x + 5 = x + 53. What is x?
  3. 3.A father is 22 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?
  4. 4.Solve: 3(n − 5) = n + 7. What is n?
  5. 5.Solve: 3(m − 4) = m + 14. What is m?
  6. 6.Solve: 6(y − 4) = 4y + 10. What is y?
  7. 7.Solve: 4(m − 1) = 3m + 5. What is m?
  8. 8.Solve: 3(y − 4) = y + 12. What is y?
  9. 9.The length of a rectangle is 10 cm more than its width. Its perimeter is 120 cm. What is its width (in cm)?
  10. 10.Solve: 6(p − 1) = 3p + 15. What is p?
  11. 11.Solve: x/5 + x/4 = 18. What is x?
  12. 12.The length of a rectangle is 1 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
  13. 13.The sum of two consecutive whole numbers is 111. What is the smallest of them?
  14. 14.A father is 15 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  15. 15.Solve: 4x + 20 = 2x + 28. What is x?
  16. 16.Solve: 9p + 2 = 2p + 9. What is p?
  17. 17.Solve: 7m + 3 = 3m + 43. What is m?
  18. 18.Solve: 3(t − 3) = 2t + 10. What is t?
  19. 19.Solve: n/5 + n/2 = 56. What is n?
  20. 20.Solve: 6(n − 1) = n + 34. What is n?
  21. 21.Solve: 3(n − 1) = 2n + 5. What is n?
  22. 22.Solve: p/5 + p/3 = 56. What is p?
  23. 23.The sum of four consecutive whole numbers is 102. What is the smallest of them?
  24. 24.Solve: 4p + 3 = 3p + 15. What is p?
  25. 25.The length of a rectangle is 8 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
  26. 26.A father is 7 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  27. 27.The length of a rectangle is 5 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
  28. 28.The length of a rectangle is 15 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
  29. 29.The sum of three consecutive whole numbers is 54. What is the largest of them?
  30. 30.Solve: m/5 + m/4 = 63. What is m?
  31. 31.Solve: 3(t − 3) = t + 1. What is t?
  32. 32.Solve: 4n + 5 = 3n + 18. What is n?
  33. 33.Solve: p/2 + p/5 = 14. What is p?
  34. 34.Solve: m/3 + m/2 = 5. What is m?
  35. 35.A father is 12 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?
  36. 36.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?
  37. 37.Solve: x/3 + x/4 = 56. What is x?
  38. 38.A father is 20 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?
  39. 39.The length of a rectangle is 11 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
  40. 40.A father is 8 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?

Answer key

  1. 5
  2. 6
  3. 3
  4. 11
  5. 13
  6. 17
  7. 9
  8. 12
  9. 25
  10. 7
  11. 40
  12. 15
  13. 55
  14. 11
  15. 4
  16. 1
  17. 10
  18. 19
  19. 80
  20. 8
  21. 8
  22. 105
  23. 24
  24. 12
  25. 4
  26. 2
  27. 16
  28. 4
  29. 19
  30. 140
  31. 5
  32. 13
  33. 20
  34. 6
  35. 5
  36. 7
  37. 96
  38. 9
  39. 17
  40. 2

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