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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 863 · 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: 9m + 2 = 4m + 32. What is m?
  2. 2.A father is 11 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  3. 3.Solve: p/3 + p/5 = 16. What is p?
  4. 4.Solve: 5t + 14 = t + 46. What is t?
  5. 5.Solve: p/4 + p/5 = 54. What is p?
  6. 6.Solve: 5(t − 2) = t + 30. What is t?
  7. 7.Solve: 3(p − 5) = p + 3. What is p?
  8. 8.A father is 8 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  9. 9.A father is 5 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  10. 10.Solve: 4m + 9 = m + 18. What is m?
  11. 11.The sum of four consecutive whole numbers is 54. What is the largest of them?
  12. 12.The length of a rectangle is 14 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
  13. 13.The length of a rectangle is 2 cm more than its width. Its perimeter is 28 cm. What is its width (in cm)?
  14. 14.Solve: 3(x − 1) = x + 1. What is x?
  15. 15.The length of a rectangle is 10 cm more than its width. Its perimeter is 124 cm. What is its width (in cm)?
  16. 16.Solve: n/5 + n/6 = 55. What is n?
  17. 17.Solve: m/5 + m/3 = 64. What is m?
  18. 18.Solve: 6(y − 3) = y + 12. What is y?
  19. 19.Solve: 3p + 17 = p + 31. What is p?
  20. 20.Solve: m/2 + m/5 = 56. What is m?
  21. 21.Solve: 6(x − 1) = 4x + 22. What is x?
  22. 22.The length of a rectangle is 6 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
  23. 23.The sum of four consecutive whole numbers is 46. What is the largest of them?
  24. 24.Solve: 6(m − 1) = 4m + 10. What is m?
  25. 25.The length of a rectangle is 13 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
  26. 26.A father is 18 years older than his son. In 4 years, the father will be four times as old as his son. How old is the son now?
  27. 27.Solve: 8m + 5 = 4m + 17. What is m?
  28. 28.Solve: 7t + 16 = 5t + 20. What is t?
  29. 29.The sum of two consecutive whole numbers is 85. What is the smallest of them?
  30. 30.A father is 10 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  31. 31.The sum of two consecutive whole numbers is 89. What is the largest of them?
  32. 32.Solve: m/4 + m/6 = 40. What is m?
  33. 33.Solve: y/2 + y/3 = 10. What is y?
  34. 34.The sum of two consecutive whole numbers is 101. What is the smallest of them?
  35. 35.Solve: n/5 + n/3 = 32. What is n?
  36. 36.Solve: t/3 + t/4 = 28. What is t?
  37. 37.The sum of four consecutive whole numbers is 142. What is the largest of them?
  38. 38.Solve: 5(m − 3) = m + 13. What is m?
  39. 39.Solve: 5(x − 3) = 3x + 13. What is x?
  40. 40.The length of a rectangle is 10 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?

Answer key

  1. 6
  2. 7
  3. 30
  4. 8
  5. 120
  6. 10
  7. 9
  8. 6
  9. 3
  10. 3
  11. 15
  12. 18
  13. 6
  14. 2
  15. 26
  16. 150
  17. 120
  18. 6
  19. 7
  20. 80
  21. 14
  22. 17
  23. 13
  24. 8
  25. 24
  26. 2
  27. 3
  28. 2
  29. 42
  30. 2
  31. 45
  32. 96
  33. 12
  34. 50
  35. 60
  36. 48
  37. 37
  38. 7
  39. 14
  40. 20

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