← Linear equations in one variable lesson New set →

Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 347 · 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 four consecutive whole numbers is 162. What is the smallest of them?
  2. 2.A father is 9 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  3. 3.The sum of two consecutive whole numbers is 43. What is the smallest of them?
  4. 4.Solve: 3(n − 4) = n + 6. What is n?
  5. 5.Solve: 8t + 12 = 2t + 18. What is t?
  6. 6.Solve: 3(n − 1) = n + 5. What is n?
  7. 7.Solve: n/4 + n/5 = 45. What is n?
  8. 8.A father is 8 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  9. 9.Solve: x/6 + x/3 = 3. What is x?
  10. 10.A father is 30 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?
  11. 11.Solve: 3m + 12 = 2m + 23. What is m?
  12. 12.Solve: p/4 + p/3 = 28. What is p?
  13. 13.Solve: 3y + 18 = y + 20. What is y?
  14. 14.Solve: 3(m − 1) = m + 15. What is m?
  15. 15.Solve: 7t + 14 = t + 38. What is t?
  16. 16.The sum of two consecutive whole numbers is 19. What is the largest of them?
  17. 17.Solve: 5(t − 2) = 2t + 5. What is t?
  18. 18.The length of a rectangle is 14 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
  19. 19.The sum of two consecutive whole numbers is 27. What is the smallest of them?
  20. 20.The sum of two consecutive whole numbers is 63. What is the smallest of them?
  21. 21.A father is 39 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?
  22. 22.The sum of two consecutive whole numbers is 85. What is the smallest of them?
  23. 23.Solve: 8y + 5 = y + 40. What is y?
  24. 24.The sum of two consecutive whole numbers is 39. What is the largest of them?
  25. 25.A father is 27 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?
  26. 26.Solve: 3(p − 3) = 2p + 4. What is p?
  27. 27.Solve: p/2 + p/3 = 5. What is p?
  28. 28.Solve: 4(t − 4) = 2t + 14. What is t?
  29. 29.Solve: 5(y − 2) = y + 30. What is y?
  30. 30.The length of a rectangle is 12 cm more than its width. Its perimeter is 56 cm. What is its width (in cm)?
  31. 31.The sum of two consecutive whole numbers is 61. What is the smallest of them?
  32. 32.Solve: t/5 + t/2 = 56. What is t?
  33. 33.Solve: 5(m − 4) = m + 52. What is m?
  34. 34.Solve: 4(m − 5) = 3m + 3. What is m?
  35. 35.Solve: m/5 + m/4 = 27. What is m?
  36. 36.Solve: p/5 + p/4 = 9. What is p?
  37. 37.A father is 39 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
  38. 38.Solve: 5(t − 1) = 3t + 1. What is t?
  39. 39.The sum of four consecutive whole numbers is 62. What is the largest of them?
  40. 40.Solve: 3(m − 3) = 2m + 3. What is m?

Answer key

  1. 39
  2. 3
  3. 21
  4. 9
  5. 1
  6. 4
  7. 100
  8. 2
  9. 6
  10. 6
  11. 11
  12. 48
  13. 1
  14. 9
  15. 4
  16. 10
  17. 5
  18. 5
  19. 13
  20. 31
  21. 8
  22. 42
  23. 5
  24. 20
  25. 3
  26. 13
  27. 6
  28. 15
  29. 10
  30. 8
  31. 30
  32. 80
  33. 18
  34. 23
  35. 60
  36. 20
  37. 6
  38. 3
  39. 17
  40. 12

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