← Linear equations in one variable lesson New set →

Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 3 · 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 79. What is the smallest of them?
  2. 2.Solve: 7x + 13 = 3x + 49. What is x?
  3. 3.The sum of three consecutive whole numbers is 57. What is the largest of them?
  4. 4.The sum of four consecutive whole numbers is 234. What is the smallest of them?
  5. 5.Solve: 4(t − 5) = 2t + 12. What is t?
  6. 6.The length of a rectangle is 9 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
  7. 7.Solve: x/4 + x/2 = 3. What is x?
  8. 8.Solve: m/3 + m/5 = 56. What is m?
  9. 9.Solve: 4t + 15 = t + 33. What is t?
  10. 10.Solve: 4n + 5 = 3n + 7. What is n?
  11. 11.A father is 57 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?
  12. 12.Solve: 3(p − 5) = 2p + 3. What is p?
  13. 13.Solve: 4p + 3 = 3p + 12. What is p?
  14. 14.Solve: 6(t − 1) = t + 54. What is t?
  15. 15.Solve: 3p + 5 = 2p + 18. What is p?
  16. 16.Solve: 5(t − 2) = 2t + 26. What is t?
  17. 17.Solve: 6(p − 3) = 3p + 9. What is p?
  18. 18.Solve: 6(y − 3) = 5y + 12. What is y?
  19. 19.The sum of two consecutive whole numbers is 99. What is the smallest of them?
  20. 20.The length of a rectangle is 12 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
  21. 21.A father is 17 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  22. 22.Solve: p/3 + p/5 = 64. What is p?
  23. 23.Solve: 4(m − 3) = m + 33. What is m?
  24. 24.A father is 16 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  25. 25.Solve: t/3 + t/5 = 40. What is t?
  26. 26.The sum of three consecutive whole numbers is 123. What is the smallest of them?
  27. 27.The sum of three consecutive whole numbers is 87. What is the largest of them?
  28. 28.Solve: 4t + 1 = t + 40. What is t?
  29. 29.Solve: 4(t − 2) = t + 28. What is t?
  30. 30.Solve: 4p + 18 = 2p + 20. What is p?
  31. 31.Solve: 4(n − 4) = n + 2. What is n?
  32. 32.Solve: y/4 + y/5 = 36. What is y?
  33. 33.Solve: y/6 + y/4 = 20. What is y?
  34. 34.Solve: 6(x − 2) = 5x + 9. What is x?
  35. 35.Solve: 5(p − 5) = 2p + 23. What is p?
  36. 36.A father is 39 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?
  37. 37.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?
  38. 38.A father is 42 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?
  39. 39.The length of a rectangle is 10 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
  40. 40.The length of a rectangle is 3 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?

Answer key

  1. 39
  2. 9
  3. 20
  4. 57
  5. 16
  6. 19
  7. 4
  8. 105
  9. 6
  10. 2
  11. 12
  12. 18
  13. 9
  14. 12
  15. 13
  16. 12
  17. 9
  18. 30
  19. 49
  20. 4
  21. 9
  22. 120
  23. 15
  24. 10
  25. 75
  26. 40
  27. 30
  28. 13
  29. 12
  30. 1
  31. 6
  32. 80
  33. 48
  34. 21
  35. 16
  36. 12
  37. 5
  38. 11
  39. 20
  40. 17

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