← Linear equations in one variable lesson New set →

Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 818 · 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 94. What is the smallest of them?
  2. 2.Solve: p/4 + p/2 = 15. What is p?
  3. 3.Solve: 6(x − 2) = 3x + 30. What is x?
  4. 4.Solve: x/4 + x/6 = 5. What is x?
  5. 5.A father is 34 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?
  6. 6.The sum of three consecutive whole numbers is 24. What is the largest of them?
  7. 7.Solve: n/6 + n/2 = 4. What is n?
  8. 8.Solve: 6t + 5 = 3t + 35. What is t?
  9. 9.A father is 54 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?
  10. 10.Solve: p/6 + p/3 = 6. What is p?
  11. 11.Solve: 3t + 7 = t + 9. What is t?
  12. 12.The sum of four consecutive whole numbers is 234. What is the largest of them?
  13. 13.Solve: 5p + 15 = 2p + 51. What is p?
  14. 14.Solve: 6(x − 5) = x + 50. What is x?
  15. 15.Solve: 5m + 5 = 2m + 44. What is m?
  16. 16.Solve: n/6 + n/2 = 8. What is n?
  17. 17.The length of a rectangle is 15 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
  18. 18.Solve: 3(n − 1) = 2n + 6. What is n?
  19. 19.Solve: 8m + 9 = 7m + 11. What is m?
  20. 20.The sum of three consecutive whole numbers is 132. What is the smallest of them?
  21. 21.Solve: 5(p − 1) = p + 47. What is p?
  22. 22.Solve: 5(n − 3) = n + 41. What is n?
  23. 23.The length of a rectangle is 11 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
  24. 24.The sum of three consecutive whole numbers is 72. What is the smallest of them?
  25. 25.A father is 26 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?
  26. 26.Solve: 4(m − 2) = 3m + 9. What is m?
  27. 27.Solve: 3(x − 1) = x + 19. What is x?
  28. 28.Solve: 7p + 9 = 6p + 14. What is p?
  29. 29.Solve: 4n + 11 = 2n + 19. What is n?
  30. 30.The sum of four consecutive whole numbers is 74. What is the smallest of them?
  31. 31.Solve: m/2 + m/6 = 12. What is m?
  32. 32.Solve: n/2 + n/6 = 16. What is n?
  33. 33.Solve: m/2 + m/3 = 40. What is m?
  34. 34.Solve: 6(x − 1) = 5x + 11. What is x?
  35. 35.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?
  36. 36.The sum of four consecutive whole numbers is 50. What is the smallest of them?
  37. 37.Solve: 3p + 6 = p + 10. What is p?
  38. 38.The sum of four consecutive whole numbers is 142. What is the smallest of them?
  39. 39.Solve: y/6 + y/5 = 77. What is y?
  40. 40.A father is 16 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?

Answer key

  1. 22
  2. 20
  3. 14
  4. 12
  5. 11
  6. 9
  7. 6
  8. 10
  9. 11
  10. 12
  11. 1
  12. 60
  13. 12
  14. 16
  15. 13
  16. 12
  17. 16
  18. 9
  19. 2
  20. 43
  21. 13
  22. 14
  23. 19
  24. 23
  25. 11
  26. 17
  27. 11
  28. 5
  29. 4
  30. 17
  31. 18
  32. 24
  33. 48
  34. 17
  35. 6
  36. 11
  37. 2
  38. 34
  39. 210
  40. 11

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