← Linear equations in one variable lesson New set →

Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 325 · 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 59. What is the largest of them?
  2. 2.A father is 21 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?
  3. 3.A father is 30 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
  4. 4.The length of a rectangle is 2 cm more than its width. Its perimeter is 56 cm. What is its width (in cm)?
  5. 5.Solve: p/6 + p/3 = 21. What is p?
  6. 6.The length of a rectangle is 6 cm more than its width. Its perimeter is 112 cm. What is its width (in cm)?
  7. 7.The sum of two consecutive whole numbers is 87. What is the smallest of them?
  8. 8.The length of a rectangle is 5 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
  9. 9.Solve: 4(n − 1) = 3n + 12. What is n?
  10. 10.The length of a rectangle is 11 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
  11. 11.Solve: 8y + 2 = 2y + 56. What is y?
  12. 12.Solve: p/4 + p/3 = 28. What is p?
  13. 13.A father is 8 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  14. 14.Solve: 5(p − 5) = 4p + 13. What is p?
  15. 15.Solve: n/2 + n/5 = 56. What is n?
  16. 16.The length of a rectangle is 9 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
  17. 17.A father is 34 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?
  18. 18.A father is 48 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?
  19. 19.Solve: 3(y − 3) = 2y + 3. What is y?
  20. 20.The length of a rectangle is 15 cm more than its width. Its perimeter is 134 cm. What is its width (in cm)?
  21. 21.The length of a rectangle is 5 cm more than its width. Its perimeter is 22 cm. What is its width (in cm)?
  22. 22.A father is 7 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  23. 23.Solve: 7p + 6 = 4p + 24. What is p?
  24. 24.The sum of two consecutive whole numbers is 37. What is the largest of them?
  25. 25.Solve: 5t + 10 = 3t + 14. What is t?
  26. 26.The sum of three consecutive whole numbers is 66. What is the largest of them?
  27. 27.The sum of three consecutive whole numbers is 171. What is the smallest of them?
  28. 28.A father is 42 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?
  29. 29.Solve: 5n + 13 = 4n + 24. What is n?
  30. 30.Solve: 9p + 8 = p + 88. What is p?
  31. 31.Solve: 5(y − 1) = y + 11. What is y?
  32. 32.Solve: 4(t − 1) = t + 38. What is t?
  33. 33.Solve: x/2 + x/4 = 9. What is x?
  34. 34.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?
  35. 35.A father is 24 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
  36. 36.Solve: t/2 + t/6 = 32. What is t?
  37. 37.Solve: x/3 + x/2 = 5. What is x?
  38. 38.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?
  39. 39.The length of a rectangle is 5 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
  40. 40.Solve: y/5 + y/2 = 42. What is y?

Answer key

  1. 30
  2. 4
  3. 4
  4. 13
  5. 42
  6. 25
  7. 43
  8. 27
  9. 16
  10. 23
  11. 9
  12. 48
  13. 5
  14. 38
  15. 80
  16. 25
  17. 12
  18. 11
  19. 12
  20. 26
  21. 3
  22. 3
  23. 6
  24. 19
  25. 2
  26. 23
  27. 56
  28. 6
  29. 11
  30. 10
  31. 4
  32. 14
  33. 12
  34. 8
  35. 2
  36. 48
  37. 6
  38. 5
  39. 5
  40. 60

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