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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 396 · 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 1 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
  2. 2.Solve: n/5 + n/2 = 21. What is n?
  3. 3.A father is 18 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  4. 4.Solve: 3n + 7 = n + 9. What is n?
  5. 5.The sum of three consecutive whole numbers is 96. What is the smallest of them?
  6. 6.The sum of four consecutive whole numbers is 30. What is the largest of them?
  7. 7.The length of a rectangle is 1 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
  8. 8.Solve: 6(n − 2) = 2n + 28. What is n?
  9. 9.The sum of four consecutive whole numbers is 198. What is the smallest of them?
  10. 10.The length of a rectangle is 1 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
  11. 11.The sum of three consecutive whole numbers is 48. What is the smallest of them?
  12. 12.The sum of four consecutive whole numbers is 162. What is the smallest of them?
  13. 13.A father is 10 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?
  14. 14.The length of a rectangle is 7 cm more than its width. Its perimeter is 126 cm. What is its width (in cm)?
  15. 15.Solve: m/6 + m/3 = 6. What is m?
  16. 16.Solve: 6(y − 5) = y + 55. What is y?
  17. 17.Solve: 9p + 18 = 7p + 46. What is p?
  18. 18.The sum of four consecutive whole numbers is 58. What is the largest of them?
  19. 19.Solve: 5(m − 2) = 4m + 4. What is m?
  20. 20.Solve: 9y + 13 = y + 109. What is y?
  21. 21.The length of a rectangle is 1 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
  22. 22.A father is 10 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  23. 23.A father is 9 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  24. 24.The length of a rectangle is 7 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
  25. 25.Solve: m/3 + m/5 = 24. What is m?
  26. 26.Solve: 3m + 1 = m + 3. What is m?
  27. 27.Solve: m/5 + m/2 = 14. What is m?
  28. 28.A father is 11 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  29. 29.Solve: 5p + 19 = 3p + 31. What is p?
  30. 30.Solve: 4x + 4 = x + 46. What is x?
  31. 31.Solve: 6(m − 1) = 2m + 30. What is m?
  32. 32.The length of a rectangle is 14 cm more than its width. Its perimeter is 36 cm. What is its width (in cm)?
  33. 33.The sum of four consecutive whole numbers is 50. What is the largest of them?
  34. 34.The length of a rectangle is 11 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
  35. 35.Solve: t/4 + t/5 = 9. What is t?
  36. 36.Solve: x/6 + x/5 = 66. What is x?
  37. 37.Solve: 5y + 17 = y + 25. What is y?
  38. 38.The sum of four consecutive whole numbers is 202. What is the largest of them?
  39. 39.Solve: 4t + 19 = 3t + 26. What is t?
  40. 40.Solve: 6(m − 1) = m + 14. What is m?

Answer key

  1. 28
  2. 30
  3. 10
  4. 1
  5. 31
  6. 9
  7. 8
  8. 10
  9. 48
  10. 17
  11. 15
  12. 39
  13. 3
  14. 28
  15. 12
  16. 17
  17. 14
  18. 16
  19. 14
  20. 12
  21. 15
  22. 7
  23. 2
  24. 25
  25. 45
  26. 1
  27. 20
  28. 3
  29. 6
  30. 14
  31. 9
  32. 2
  33. 14
  34. 15
  35. 20
  36. 180
  37. 2
  38. 52
  39. 7
  40. 4

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