← Linear equations in one variable lesson New set →

Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 92 · 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.Solve: 3(p − 3) = p + 13. What is p?
  2. 2.The length of a rectangle is 15 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
  3. 3.The length of a rectangle is 3 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
  4. 4.Solve: 5(x − 2) = 3x + 10. What is x?
  5. 5.A father is 21 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?
  6. 6.A father is 4 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  7. 7.The length of a rectangle is 12 cm more than its width. Its perimeter is 84 cm. What is its width (in cm)?
  8. 8.The sum of three consecutive whole numbers is 81. What is the largest of them?
  9. 9.Solve: 4y + 14 = y + 23. What is y?
  10. 10.The sum of three consecutive whole numbers is 57. What is the smallest of them?
  11. 11.Solve: x/6 + x/2 = 8. What is x?
  12. 12.Solve: 3y + 18 = 2y + 23. What is y?
  13. 13.Solve: 7x + 3 = x + 81. What is x?
  14. 14.Solve: 3(x − 1) = x + 23. What is x?
  15. 15.The length of a rectangle is 13 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
  16. 16.Solve: m/2 + m/3 = 40. What is m?
  17. 17.The length of a rectangle is 15 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
  18. 18.Solve: t/5 + t/3 = 40. What is t?
  19. 19.The sum of three consecutive whole numbers is 165. What is the smallest of them?
  20. 20.Solve: 3p + 3 = 2p + 18. What is p?
  21. 21.Solve: 5p + 1 = p + 17. What is p?
  22. 22.The sum of three consecutive whole numbers is 42. What is the smallest of them?
  23. 23.A father is 14 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
  24. 24.Solve: 9x + 2 = x + 106. What is x?
  25. 25.Solve: 3(t − 5) = 2t + 8. What is t?
  26. 26.Solve: 4x + 13 = 3x + 23. What is x?
  27. 27.A father is 10 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  28. 28.A father is 38 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?
  29. 29.The sum of four consecutive whole numbers is 66. What is the largest of them?
  30. 30.The sum of two consecutive whole numbers is 57. What is the largest of them?
  31. 31.The sum of three consecutive whole numbers is 51. What is the smallest of them?
  32. 32.The length of a rectangle is 5 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
  33. 33.The length of a rectangle is 4 cm more than its width. Its perimeter is 56 cm. What is its width (in cm)?
  34. 34.Solve: 4t + 11 = 3t + 21. What is t?
  35. 35.Solve: 9x + 14 = x + 118. What is x?
  36. 36.Solve: n/5 + n/2 = 7. What is n?
  37. 37.The sum of three consecutive whole numbers is 135. What is the smallest of them?
  38. 38.Solve: 3t + 3 = t + 11. What is t?
  39. 39.Solve: x/2 + x/5 = 7. What is x?
  40. 40.Solve: 7p + 10 = p + 28. What is p?

Answer key

  1. 11
  2. 4
  3. 9
  4. 10
  5. 2
  6. 3
  7. 15
  8. 28
  9. 3
  10. 18
  11. 12
  12. 5
  13. 13
  14. 13
  15. 14
  16. 48
  17. 3
  18. 75
  19. 54
  20. 15
  21. 4
  22. 13
  23. 5
  24. 13
  25. 23
  26. 10
  27. 4
  28. 11
  29. 18
  30. 29
  31. 16
  32. 5
  33. 12
  34. 10
  35. 13
  36. 10
  37. 44
  38. 4
  39. 10
  40. 3

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