← Linear equations in one variable lesson New set →

Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 277 · 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 11 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
  2. 2.The sum of two consecutive whole numbers is 67. What is the largest of them?
  3. 3.Solve: 7y + 4 = 3y + 44. What is y?
  4. 4.A father is 10 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  5. 5.The length of a rectangle is 4 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
  6. 6.Solve: 6(m − 4) = 3m + 21. What is m?
  7. 7.A father is 48 years older than his son. In 4 years, the father will be four times as old as his son. How old is the son now?
  8. 8.A father is 36 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?
  9. 9.A father is 17 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  10. 10.The sum of four consecutive whole numbers is 94. What is the largest of them?
  11. 11.A father is 10 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?
  12. 12.Solve: 4y + 9 = 2y + 37. What is y?
  13. 13.Solve: 4(y − 2) = 3y + 11. What is y?
  14. 14.The sum of three consecutive whole numbers is 150. What is the largest of them?
  15. 15.The length of a rectangle is 12 cm more than its width. Its perimeter is 128 cm. What is its width (in cm)?
  16. 16.Solve: 6p + 1 = p + 51. What is p?
  17. 17.Solve: m/2 + m/6 = 32. What is m?
  18. 18.Solve: y/4 + y/5 = 72. What is y?
  19. 19.Solve: 4(p − 2) = 3p + 3. What is p?
  20. 20.Solve: 5(t − 1) = t + 15. What is t?
  21. 21.Solve: 6(t − 1) = 4t + 14. What is t?
  22. 22.The sum of two consecutive whole numbers is 83. What is the smallest of them?
  23. 23.The length of a rectangle is 14 cm more than its width. Its perimeter is 64 cm. What is its width (in cm)?
  24. 24.The sum of three consecutive whole numbers is 162. What is the smallest of them?
  25. 25.The sum of four consecutive whole numbers is 154. What is the smallest of them?
  26. 26.Solve: 4n + 12 = 3n + 15. What is n?
  27. 27.Solve: 4p + 2 = 2p + 22. What is p?
  28. 28.Solve: 5m + 1 = 2m + 28. What is m?
  29. 29.The length of a rectangle is 2 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
  30. 30.Solve: 5m + 9 = 2m + 39. What is m?
  31. 31.The length of a rectangle is 5 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
  32. 32.The sum of three consecutive whole numbers is 90. What is the largest of them?
  33. 33.Solve: 3(p − 2) = p + 26. What is p?
  34. 34.Solve: 3(t − 4) = t + 10. What is t?
  35. 35.Solve: 6y + 8 = 3y + 29. What is y?
  36. 36.Solve: 8p + 15 = 3p + 55. What is p?
  37. 37.Solve: y/2 + y/4 = 18. What is y?
  38. 38.Solve: m/6 + m/3 = 18. What is m?
  39. 39.The sum of two consecutive whole numbers is 51. What is the smallest of them?
  40. 40.Solve: 5t + 16 = 3t + 32. What is t?

Answer key

  1. 21
  2. 34
  3. 10
  4. 3
  5. 11
  6. 15
  7. 12
  8. 4
  9. 9
  10. 25
  11. 4
  12. 14
  13. 19
  14. 51
  15. 26
  16. 10
  17. 48
  18. 160
  19. 11
  20. 5
  21. 10
  22. 41
  23. 9
  24. 53
  25. 37
  26. 3
  27. 10
  28. 9
  29. 14
  30. 10
  31. 10
  32. 31
  33. 16
  34. 11
  35. 7
  36. 8
  37. 24
  38. 36
  39. 25
  40. 8

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