← Linear equations in one variable lesson New set →

Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 238 · 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: 5(t − 5) = t + 7. What is t?
  2. 2.Solve: p/3 + p/5 = 40. What is p?
  3. 3.Solve: 7y + 11 = 2y + 56. What is y?
  4. 4.Solve: p/2 + p/3 = 25. What is p?
  5. 5.Solve: 5(y − 5) = 2y + 35. What is y?
  6. 6.Solve: 4(t − 3) = 2t + 16. What is t?
  7. 7.A father is 12 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  8. 8.The sum of two consecutive whole numbers is 83. What is the largest of them?
  9. 9.The sum of four consecutive whole numbers is 126. What is the smallest of them?
  10. 10.A father is 30 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?
  11. 11.Solve: 5y + 3 = 3y + 13. What is y?
  12. 12.A father is 15 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.Solve: 8n + 9 = 3n + 69. What is n?
  14. 14.A father is 16 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?
  15. 15.The sum of two consecutive whole numbers is 93. What is the smallest of them?
  16. 16.Solve: t/6 + t/2 = 28. What is t?
  17. 17.Solve: 5x + 9 = 2x + 12. What is x?
  18. 18.Solve: 4(x − 1) = x + 23. What is x?
  19. 19.The sum of two consecutive whole numbers is 73. What is the largest of them?
  20. 20.A father is 48 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?
  21. 21.Solve: 8n + 14 = n + 28. What is n?
  22. 22.Solve: 7m + 11 = 3m + 23. What is m?
  23. 23.Solve: 9p + 20 = 6p + 47. What is p?
  24. 24.The length of a rectangle is 12 cm more than its width. Its perimeter is 120 cm. What is its width (in cm)?
  25. 25.Solve: 4(m − 3) = m + 15. What is m?
  26. 26.Solve: x/5 + x/6 = 55. What is x?
  27. 27.Solve: 5(n − 5) = 3n + 11. What is n?
  28. 28.Solve: 3t + 12 = t + 26. What is t?
  29. 29.The length of a rectangle is 9 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
  30. 30.Solve: 5(y − 5) = 2y + 26. What is y?
  31. 31.Solve: x/2 + x/6 = 16. What is x?
  32. 32.Solve: 7x + 18 = 2x + 23. What is x?
  33. 33.The length of a rectangle is 11 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
  34. 34.A father is 8 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  35. 35.Solve: n/4 + n/6 = 10. What is n?
  36. 36.Solve: 3(n − 2) = n + 22. What is n?
  37. 37.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?
  38. 38.Solve: 9n + 6 = 4n + 76. What is n?
  39. 39.A father is 9 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  40. 40.The sum of three consecutive whole numbers is 90. What is the largest of them?

Answer key

  1. 8
  2. 75
  3. 9
  4. 30
  5. 20
  6. 14
  7. 10
  8. 42
  9. 30
  10. 10
  11. 5
  12. 7
  13. 12
  14. 7
  15. 46
  16. 42
  17. 1
  18. 9
  19. 37
  20. 12
  21. 2
  22. 3
  23. 9
  24. 24
  25. 9
  26. 150
  27. 18
  28. 7
  29. 26
  30. 17
  31. 24
  32. 1
  33. 4
  34. 7
  35. 24
  36. 14
  37. 2
  38. 14
  39. 5
  40. 31

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