← Linear equations in one variable lesson New set →

Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 475 · 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 15 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
  2. 2.Solve: t/2 + t/6 = 28. What is t?
  3. 3.Solve: 5(y − 1) = 3y + 15. What is y?
  4. 4.Solve: 3y + 2 = 2y + 11. What is y?
  5. 5.The sum of two consecutive whole numbers is 111. What is the smallest of them?
  6. 6.Solve: 5(x − 1) = 4x + 4. What is x?
  7. 7.The sum of three consecutive whole numbers is 174. What is the smallest of them?
  8. 8.Solve: y/6 + y/5 = 33. What is y?
  9. 9.Solve: 7p + 14 = 2p + 54. What is p?
  10. 10.The length of a rectangle is 11 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
  11. 11.The length of a rectangle is 5 cm more than its width. Its perimeter is 126 cm. What is its width (in cm)?
  12. 12.The length of a rectangle is 2 cm more than its width. Its perimeter is 92 cm. What is its width (in cm)?
  13. 13.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?
  14. 14.Solve: 6(m − 5) = m + 15. What is m?
  15. 15.The length of a rectangle is 6 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
  16. 16.The sum of two consecutive whole numbers is 93. What is the smallest of them?
  17. 17.The sum of four consecutive whole numbers is 62. What is the smallest of them?
  18. 18.The sum of two consecutive whole numbers is 105. What is the smallest of them?
  19. 19.Solve: y/3 + y/4 = 14. What is y?
  20. 20.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?
  21. 21.Solve: 4(p − 5) = 2p + 20. What is p?
  22. 22.The length of a rectangle is 13 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
  23. 23.Solve: n/2 + n/4 = 3. What is n?
  24. 24.The length of a rectangle is 10 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
  25. 25.A father is 34 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
  26. 26.A father is 22 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?
  27. 27.Solve: 5(y − 1) = y + 27. What is y?
  28. 28.The length of a rectangle is 14 cm more than its width. Its perimeter is 84 cm. What is its width (in cm)?
  29. 29.Solve: m/2 + m/3 = 25. What is m?
  30. 30.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?
  31. 31.The length of a rectangle is 2 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
  32. 32.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?
  33. 33.The sum of two consecutive whole numbers is 47. What is the smallest of them?
  34. 34.Solve: 8p + 7 = 4p + 11. What is p?
  35. 35.Solve: 9x + 8 = 8x + 19. What is x?
  36. 36.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?
  37. 37.The length of a rectangle is 5 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
  38. 38.The sum of four consecutive whole numbers is 126. What is the largest of them?
  39. 39.A father is 16 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?
  40. 40.The length of a rectangle is 7 cm more than its width. Its perimeter is 130 cm. What is its width (in cm)?

Answer key

  1. 3
  2. 42
  3. 10
  4. 9
  5. 55
  6. 9
  7. 57
  8. 90
  9. 8
  10. 18
  11. 29
  12. 22
  13. 5
  14. 9
  15. 17
  16. 46
  17. 14
  18. 52
  19. 24
  20. 8
  21. 20
  22. 3
  23. 4
  24. 20
  25. 10
  26. 3
  27. 8
  28. 14
  29. 30
  30. 2
  31. 21
  32. 4
  33. 23
  34. 1
  35. 11
  36. 5
  37. 9
  38. 33
  39. 5
  40. 29

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