← Linear equations in one variable lesson New set →

Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 529 · 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 109. What is the smallest of them?
  2. 2.Solve: n/4 + n/6 = 15. What is n?
  3. 3.Solve: y/2 + y/4 = 9. What is y?
  4. 4.The length of a rectangle is 6 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
  5. 5.A father is 13 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  6. 6.The length of a rectangle is 4 cm more than its width. Its perimeter is 128 cm. What is its width (in cm)?
  7. 7.The sum of three consecutive whole numbers is 69. What is the smallest of them?
  8. 8.Solve: 7n + 15 = 4n + 21. What is n?
  9. 9.Solve: 4p + 16 = p + 25. What is p?
  10. 10.Solve: x/4 + x/6 = 40. What is x?
  11. 11.The length of a rectangle is 5 cm more than its width. Its perimeter is 130 cm. What is its width (in cm)?
  12. 12.Solve: 6(t − 4) = 3t + 21. What is t?
  13. 13.The length of a rectangle is 2 cm more than its width. Its perimeter is 92 cm. What is its width (in cm)?
  14. 14.Solve: 3(x − 5) = x + 9. What is x?
  15. 15.Solve: y/2 + y/6 = 28. What is y?
  16. 16.Solve: 3(m − 4) = m + 12. What is m?
  17. 17.Solve: n/3 + n/5 = 64. What is n?
  18. 18.Solve: 3(y − 4) = y + 4. What is y?
  19. 19.The sum of three consecutive whole numbers is 30. What is the smallest of them?
  20. 20.A father is 13 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  21. 21.The length of a rectangle is 14 cm more than its width. Its perimeter is 140 cm. What is its width (in cm)?
  22. 22.Solve: 6(m − 1) = 5m + 3. What is m?
  23. 23.The sum of two consecutive whole numbers is 17. What is the largest of them?
  24. 24.The sum of four consecutive whole numbers is 110. What is the largest of them?
  25. 25.Solve: 4(n − 2) = n + 25. What is n?
  26. 26.Solve: x/6 + x/3 = 6. What is x?
  27. 27.Solve: 4(y − 3) = y + 12. What is y?
  28. 28.Solve: 4y + 4 = y + 19. What is y?
  29. 29.The sum of four consecutive whole numbers is 26. What is the largest of them?
  30. 30.Solve: 3(t − 2) = 2t + 8. What is t?
  31. 31.The length of a rectangle is 4 cm more than its width. Its perimeter is 124 cm. What is its width (in cm)?
  32. 32.Solve: 4(y − 2) = 3y + 10. What is y?
  33. 33.A father is 24 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?
  34. 34.Solve: 3(t − 1) = 2t + 7. What is t?
  35. 35.Solve: 3t + 3 = t + 19. What is t?
  36. 36.A father is 22 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?
  37. 37.Solve: 6x + 6 = 4x + 26. What is x?
  38. 38.The sum of four consecutive whole numbers is 134. What is the smallest of them?
  39. 39.Solve: p/4 + p/6 = 30. What is p?
  40. 40.Solve: y/6 + y/3 = 12. What is y?

Answer key

  1. 54
  2. 36
  3. 12
  4. 5
  5. 12
  6. 30
  7. 22
  8. 2
  9. 3
  10. 96
  11. 30
  12. 15
  13. 22
  14. 12
  15. 42
  16. 12
  17. 120
  18. 8
  19. 9
  20. 10
  21. 28
  22. 9
  23. 9
  24. 29
  25. 11
  26. 12
  27. 8
  28. 5
  29. 8
  30. 14
  31. 29
  32. 18
  33. 3
  34. 10
  35. 8
  36. 5
  37. 10
  38. 32
  39. 72
  40. 24

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