← Linear equations in one variable lesson New set →

Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 318 · 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: m/4 + m/6 = 10. What is m?
  2. 2.Solve: 5(t − 4) = t + 8. What is t?
  3. 3.Solve: 3(n − 4) = 2n + 13. What is n?
  4. 4.Solve: p/2 + p/6 = 4. What is p?
  5. 5.The sum of four consecutive whole numbers is 74. What is the largest of them?
  6. 6.Solve: 6m + 14 = 4m + 30. What is m?
  7. 7.The sum of three consecutive whole numbers is 165. What is the smallest of them?
  8. 8.A father is 14 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?
  9. 9.The length of a rectangle is 9 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
  10. 10.Solve: 7y + 12 = 3y + 20. What is y?
  11. 11.A father is 27 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?
  12. 12.The sum of four consecutive whole numbers is 214. What is the smallest of them?
  13. 13.Solve: 5(p − 1) = 4p + 1. What is p?
  14. 14.The length of a rectangle is 4 cm more than its width. Its perimeter is 28 cm. What is its width (in cm)?
  15. 15.The sum of four consecutive whole numbers is 86. What is the smallest of them?
  16. 16.The length of a rectangle is 5 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
  17. 17.Solve: 3(x − 5) = x + 25. What is x?
  18. 18.The length of a rectangle is 1 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
  19. 19.Solve: m/6 + m/3 = 9. What is m?
  20. 20.The length of a rectangle is 5 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
  21. 21.Solve: 5(t − 3) = 4t + 5. What is t?
  22. 22.The length of a rectangle is 1 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
  23. 23.Solve: 9m + 19 = 3m + 55. What is m?
  24. 24.Solve: 3(p − 1) = p + 17. What is p?
  25. 25.Solve: 5(m − 1) = 4m + 6. What is m?
  26. 26.Solve: 8t + 3 = 4t + 15. What is t?
  27. 27.A father is 28 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
  28. 28.Solve: n/3 + n/2 = 35. What is n?
  29. 29.The length of a rectangle is 4 cm more than its width. Its perimeter is 56 cm. What is its width (in cm)?
  30. 30.A father is 14 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
  31. 31.Solve: 4n + 4 = 2n + 34. What is n?
  32. 32.Solve: 6(n − 3) = 2n + 34. What is n?
  33. 33.Solve: 3(x − 5) = x + 7. What is x?
  34. 34.Solve: 3p + 5 = p + 17. What is p?
  35. 35.Solve: x/6 + x/5 = 55. What is x?
  36. 36.The sum of three consecutive whole numbers is 120. What is the smallest of them?
  37. 37.The sum of four consecutive whole numbers is 134. What is the smallest of them?
  38. 38.Solve: p/2 + p/3 = 30. What is p?
  39. 39.Solve: 3(n − 1) = 2n + 5. What is n?
  40. 40.Solve: 6x + 9 = 5x + 18. What is x?

Answer key

  1. 24
  2. 7
  3. 25
  4. 6
  5. 20
  6. 8
  7. 54
  8. 6
  9. 20
  10. 2
  11. 8
  12. 52
  13. 6
  14. 5
  15. 20
  16. 22
  17. 20
  18. 6
  19. 18
  20. 12
  21. 20
  22. 26
  23. 6
  24. 10
  25. 11
  26. 3
  27. 8
  28. 42
  29. 12
  30. 4
  31. 15
  32. 13
  33. 11
  34. 6
  35. 150
  36. 39
  37. 32
  38. 36
  39. 8
  40. 9

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