← Linear equations in one variable lesson New set →

Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 265 · 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.A father is 28 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?
  2. 2.Solve: 7n + 11 = 2n + 26. What is n?
  3. 3.Solve: 3m + 12 = m + 40. What is m?
  4. 4.A father is 33 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?
  5. 5.Solve: n/3 + n/5 = 32. What is n?
  6. 6.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?
  7. 7.Solve: 5(y − 2) = 3y + 22. What is y?
  8. 8.The length of a rectangle is 13 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
  9. 9.Solve: 5x + 2 = x + 34. What is x?
  10. 10.Solve: 9x + 13 = 6x + 28. What is x?
  11. 11.The sum of four consecutive whole numbers is 30. What is the smallest of them?
  12. 12.Solve: 4t + 6 = 3t + 21. What is t?
  13. 13.The length of a rectangle is 15 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
  14. 14.Solve: 5x + 18 = 4x + 21. What is x?
  15. 15.The length of a rectangle is 9 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
  16. 16.Solve: 3(t − 2) = t + 26. What is t?
  17. 17.Solve: x/3 + x/5 = 64. What is x?
  18. 18.A father is 14 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  19. 19.Solve: p/3 + p/2 = 10. What is p?
  20. 20.The length of a rectangle is 9 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
  21. 21.Solve: m/6 + m/2 = 4. What is m?
  22. 22.The sum of two consecutive whole numbers is 17. What is the largest of them?
  23. 23.Solve: 6(y − 1) = 3y + 18. What is y?
  24. 24.Solve: n/3 + n/2 = 15. What is n?
  25. 25.A father is 8 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?
  26. 26.The length of a rectangle is 9 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
  27. 27.Solve: 6n + 17 = 5n + 28. What is n?
  28. 28.Solve: 6y + 1 = 3y + 16. What is y?
  29. 29.Solve: p/2 + p/4 = 3. What is p?
  30. 30.The sum of four consecutive whole numbers is 122. What is the smallest of them?
  31. 31.Solve: 3(n − 5) = n + 21. What is n?
  32. 32.Solve: t/5 + t/6 = 77. What is t?
  33. 33.Solve: 7t + 13 = 2t + 38. What is t?
  34. 34.Solve: 5t + 4 = t + 24. What is t?
  35. 35.Solve: x/2 + x/5 = 28. What is x?
  36. 36.Solve: 3n + 20 = n + 48. What is n?
  37. 37.Solve: 3(y − 4) = y + 4. What is y?
  38. 38.Solve: 5(y − 3) = y + 1. What is y?
  39. 39.A father is 6 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.Solve: 5(y − 5) = y + 27. What is y?

Answer key

  1. 6
  2. 3
  3. 14
  4. 6
  5. 60
  6. 10
  7. 16
  8. 20
  9. 8
  10. 5
  11. 6
  12. 15
  13. 18
  14. 3
  15. 19
  16. 16
  17. 120
  18. 12
  19. 12
  20. 8
  21. 6
  22. 9
  23. 8
  24. 18
  25. 3
  26. 18
  27. 11
  28. 5
  29. 4
  30. 29
  31. 18
  32. 210
  33. 5
  34. 5
  35. 40
  36. 14
  37. 8
  38. 4
  39. 2
  40. 13

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