← Linear equations in one variable lesson New set →

Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 263 · 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 9 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
  2. 2.Solve: n/4 + n/2 = 24. What is n?
  3. 3.The length of a rectangle is 1 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
  4. 4.Solve: 3(y − 5) = 2y + 3. What is y?
  5. 5.The length of a rectangle is 13 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
  6. 6.The sum of two consecutive whole numbers is 115. What is the smallest of them?
  7. 7.The length of a rectangle is 8 cm more than its width. Its perimeter is 136 cm. What is its width (in cm)?
  8. 8.The sum of two consecutive whole numbers is 23. What is the largest of them?
  9. 9.Solve: 3p + 19 = p + 33. What is p?
  10. 10.Solve: x/3 + x/4 = 28. What is x?
  11. 11.A father is 21 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
  12. 12.Solve: 8n + 4 = 7n + 13. What is n?
  13. 13.A father is 32 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?
  14. 14.Solve: 5y + 15 = y + 75. What is y?
  15. 15.Solve: 3(m − 5) = m + 13. What is m?
  16. 16.Solve: 3(t − 4) = t + 12. What is t?
  17. 17.Solve: 8n + 16 = 4n + 28. What is n?
  18. 18.Solve: 3(x − 3) = x + 1. What is x?
  19. 19.The sum of two consecutive whole numbers is 115. What is the largest of them?
  20. 20.Solve: m/3 + m/5 = 40. What is m?
  21. 21.Solve: 4(n − 5) = 3n + 7. What is n?
  22. 22.Solve: 8m + 4 = 6m + 24. What is m?
  23. 23.The sum of four consecutive whole numbers is 62. What is the largest of them?
  24. 24.The length of a rectangle is 2 cm more than its width. Its perimeter is 24 cm. What is its width (in cm)?
  25. 25.The sum of three consecutive whole numbers is 168. What is the largest of them?
  26. 26.Solve: 8p + 14 = 2p + 32. What is p?
  27. 27.Solve: 6(p − 3) = 3p + 30. What is p?
  28. 28.Solve: 4p + 9 = p + 39. What is p?
  29. 29.A father is 14 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
  30. 30.Solve: p/6 + p/3 = 9. What is p?
  31. 31.A father is 30 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?
  32. 32.Solve: 6(n − 3) = 2n + 6. What is n?
  33. 33.The sum of four consecutive whole numbers is 122. What is the smallest of them?
  34. 34.Solve: 9x + 9 = 3x + 21. What is x?
  35. 35.A father is 12 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  36. 36.Solve: 7n + 12 = 5n + 40. What is n?
  37. 37.The sum of three consecutive whole numbers is 147. What is the smallest of them?
  38. 38.A father is 16 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  39. 39.Solve: 7p + 10 = 5p + 14. What is p?
  40. 40.Solve: x/6 + x/5 = 88. What is x?

Answer key

  1. 18
  2. 32
  3. 21
  4. 18
  5. 6
  6. 57
  7. 30
  8. 12
  9. 7
  10. 48
  11. 5
  12. 9
  13. 10
  14. 15
  15. 14
  16. 12
  17. 3
  18. 5
  19. 58
  20. 75
  21. 27
  22. 10
  23. 17
  24. 5
  25. 57
  26. 3
  27. 16
  28. 10
  29. 3
  30. 18
  31. 4
  32. 6
  33. 29
  34. 2
  35. 9
  36. 14
  37. 48
  38. 9
  39. 2
  40. 240

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