← Linear equations in one variable lesson New set →

Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 976 · 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: p/3 + p/5 = 40. What is p?
  2. 2.Solve: x/6 + x/2 = 28. What is x?
  3. 3.Solve: 4y + 16 = 3y + 18. What is y?
  4. 4.Solve: p/3 + p/6 = 3. What is p?
  5. 5.Solve: 4(y − 4) = y + 23. What is y?
  6. 6.A father is 11 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  7. 7.Solve: 8x + 2 = x + 65. What is x?
  8. 8.The length of a rectangle is 6 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
  9. 9.Solve: 5(p − 5) = 4p + 5. What is p?
  10. 10.The length of a rectangle is 7 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
  11. 11.A father is 3 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  12. 12.A father is 24 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?
  13. 13.Solve: p/2 + p/4 = 21. What is p?
  14. 14.Solve: 5(n − 1) = 2n + 25. What is n?
  15. 15.Solve: 7m + 13 = 5m + 41. What is m?
  16. 16.The sum of four consecutive whole numbers is 50. What is the largest of them?
  17. 17.Solve: 4(x − 4) = x + 20. What is x?
  18. 18.Solve: p/6 + p/4 = 25. What is p?
  19. 19.A father is 19 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  20. 20.Solve: x/4 + x/3 = 21. What is x?
  21. 21.Solve: 3(x − 5) = 2x + 8. What is x?
  22. 22.Solve: n/4 + n/3 = 7. What is n?
  23. 23.The sum of two consecutive whole numbers is 61. What is the largest of them?
  24. 24.Solve: 9y + 5 = 4y + 35. What is y?
  25. 25.A father is 9 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
  26. 26.A father is 28 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?
  27. 27.Solve: x/3 + x/6 = 9. What is x?
  28. 28.Solve: 6n + 2 = n + 42. What is n?
  29. 29.The sum of four consecutive whole numbers is 146. What is the largest of them?
  30. 30.A father is 10 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  31. 31.Solve: 5(t − 2) = 4t + 9. What is t?
  32. 32.The sum of four consecutive whole numbers is 202. What is the largest of them?
  33. 33.The length of a rectangle is 2 cm more than its width. Its perimeter is 76 cm. What is its width (in cm)?
  34. 34.Solve: 5(p − 2) = p + 10. What is p?
  35. 35.Solve: 4(y − 2) = 3y + 6. What is y?
  36. 36.The length of a rectangle is 3 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
  37. 37.The sum of two consecutive whole numbers is 95. What is the smallest of them?
  38. 38.The sum of two consecutive whole numbers is 37. What is the largest of them?
  39. 39.Solve: t/3 + t/6 = 6. What is t?
  40. 40.Solve: m/2 + m/4 = 24. What is m?

Answer key

  1. 75
  2. 42
  3. 2
  4. 6
  5. 13
  6. 5
  7. 9
  8. 17
  9. 30
  10. 5
  11. 2
  12. 6
  13. 28
  14. 10
  15. 14
  16. 14
  17. 12
  18. 60
  19. 11
  20. 36
  21. 23
  22. 12
  23. 31
  24. 6
  25. 2
  26. 9
  27. 18
  28. 8
  29. 38
  30. 9
  31. 19
  32. 52
  33. 18
  34. 5
  35. 14
  36. 6
  37. 47
  38. 19
  39. 12
  40. 32

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