← Linear equations in one variable lesson New set →

Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 523 · 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 length of a rectangle is 3 cm more than its width. Its perimeter is 22 cm. What is its width (in cm)?
  2. 2.A father is 18 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  3. 3.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?
  4. 4.The length of a rectangle is 8 cm more than its width. Its perimeter is 136 cm. What is its width (in cm)?
  5. 5.The length of a rectangle is 12 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
  6. 6.Solve: 9p + 17 = 2p + 101. What is p?
  7. 7.The length of a rectangle is 2 cm more than its width. Its perimeter is 92 cm. What is its width (in cm)?
  8. 8.Solve: 5(m − 4) = 2m + 28. What is m?
  9. 9.Solve: 9m + 4 = 3m + 58. What is m?
  10. 10.Solve: 3x + 5 = x + 29. What is x?
  11. 11.Solve: 3x + 10 = 2x + 17. What is x?
  12. 12.Solve: 4(t − 4) = 2t + 8. What is t?
  13. 13.Solve: 4y + 2 = 2y + 4. What is y?
  14. 14.A father is 10 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  15. 15.The length of a rectangle is 13 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
  16. 16.Solve: x/2 + x/3 = 25. What is x?
  17. 17.The length of a rectangle is 4 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
  18. 18.Solve: t/5 + t/2 = 28. What is t?
  19. 19.The sum of three consecutive whole numbers is 138. What is the largest of them?
  20. 20.Solve: 5(t − 4) = 2t + 1. What is t?
  21. 21.The sum of three consecutive whole numbers is 33. What is the largest of them?
  22. 22.The sum of two consecutive whole numbers is 101. What is the smallest of them?
  23. 23.Solve: 9p + 18 = 6p + 30. What is p?
  24. 24.The length of a rectangle is 11 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
  25. 25.The length of a rectangle is 14 cm more than its width. Its perimeter is 56 cm. What is its width (in cm)?
  26. 26.Solve: 9y + 9 = 8y + 17. What is y?
  27. 27.The length of a rectangle is 15 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
  28. 28.Solve: 7n + 20 = 3n + 76. What is n?
  29. 29.Solve: 6x + 13 = 4x + 15. What is x?
  30. 30.A father is 28 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?
  31. 31.The length of a rectangle is 14 cm more than its width. Its perimeter is 148 cm. What is its width (in cm)?
  32. 32.The sum of four consecutive whole numbers is 50. What is the largest of them?
  33. 33.The sum of two consecutive whole numbers is 43. What is the largest of them?
  34. 34.Solve: x/5 + x/6 = 11. What is x?
  35. 35.A father is 33 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.The sum of two consecutive whole numbers is 69. What is the largest of them?
  37. 37.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?
  38. 38.A father is 22 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?
  39. 39.The sum of three consecutive whole numbers is 90. What is the smallest of them?
  40. 40.A father is 7 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?

Answer key

  1. 4
  2. 11
  3. 8
  4. 30
  5. 11
  6. 12
  7. 22
  8. 16
  9. 9
  10. 12
  11. 7
  12. 12
  13. 1
  14. 7
  15. 21
  16. 30
  17. 15
  18. 40
  19. 47
  20. 7
  21. 12
  22. 50
  23. 4
  24. 2
  25. 7
  26. 8
  27. 3
  28. 14
  29. 1
  30. 7
  31. 30
  32. 14
  33. 22
  34. 30
  35. 5
  36. 35
  37. 12
  38. 8
  39. 29
  40. 6

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