← Linear equations in one variable lesson New set →

Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 233 · 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.A father is 22 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?
  2. 2.Solve: 3x + 13 = x + 39. What is x?
  3. 3.Solve: 9y + 7 = 4y + 62. What is y?
  4. 4.A father is 12 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  5. 5.Solve: 4x + 5 = 3x + 13. What is x?
  6. 6.Solve: 3y + 7 = y + 9. What is y?
  7. 7.A father is 7 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  8. 8.Solve: 5(p − 5) = 3p + 17. What is p?
  9. 9.Solve: 3(p − 1) = 2p + 7. What is p?
  10. 10.Solve: 4p + 20 = 2p + 24. What is p?
  11. 11.Solve: y/5 + y/6 = 33. What is y?
  12. 12.The sum of two consecutive whole numbers is 113. What is the largest of them?
  13. 13.Solve: 3p + 15 = 2p + 17. What is p?
  14. 14.Solve: 4(y − 2) = y + 10. What is y?
  15. 15.Solve: 5(t − 1) = t + 23. What is t?
  16. 16.The sum of three consecutive whole numbers is 75. What is the smallest of them?
  17. 17.The length of a rectangle is 11 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
  18. 18.A father is 15 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  19. 19.The sum of three consecutive whole numbers is 33. What is the smallest of them?
  20. 20.The sum of three consecutive whole numbers is 183. What is the smallest of them?
  21. 21.Solve: 4(x − 2) = x + 25. What is x?
  22. 22.The length of a rectangle is 7 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
  23. 23.Solve: m/5 + m/3 = 8. What is m?
  24. 24.Solve: 3m + 10 = 2m + 24. What is m?
  25. 25.Solve: 6(p − 1) = 3p + 36. What is p?
  26. 26.A father is 6 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  27. 27.The sum of four consecutive whole numbers is 218. What is the smallest of them?
  28. 28.The sum of four consecutive whole numbers is 154. What is the smallest of them?
  29. 29.Solve: 6(n − 3) = n + 2. What is n?
  30. 30.Solve: x/2 + x/5 = 56. What is x?
  31. 31.The length of a rectangle is 15 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
  32. 32.Solve: n/2 + n/6 = 16. What is n?
  33. 33.A father is 20 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?
  34. 34.Solve: 3(p − 1) = p + 15. What is p?
  35. 35.Solve: 5(n − 3) = 3n + 9. What is n?
  36. 36.A father is 26 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
  37. 37.Solve: 6(t − 2) = t + 33. What is t?
  38. 38.Solve: 3(m − 2) = 2m + 4. What is m?
  39. 39.Solve: y/2 + y/5 = 28. What is y?
  40. 40.The sum of two consecutive whole numbers is 37. What is the smallest of them?

Answer key

  1. 4
  2. 13
  3. 11
  4. 6
  5. 8
  6. 1
  7. 2
  8. 21
  9. 10
  10. 2
  11. 90
  12. 57
  13. 2
  14. 6
  15. 7
  16. 24
  17. 15
  18. 12
  19. 10
  20. 60
  21. 11
  22. 5
  23. 15
  24. 14
  25. 14
  26. 4
  27. 53
  28. 37
  29. 4
  30. 80
  31. 12
  32. 24
  33. 8
  34. 9
  35. 12
  36. 8
  37. 9
  38. 10
  39. 40
  40. 18

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