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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 271 · 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 4 cm more than its width. Its perimeter is 20 cm. What is its width (in cm)?
  2. 2.Solve: t/2 + t/6 = 20. What is t?
  3. 3.Solve: 6(p − 1) = p + 14. What is p?
  4. 4.Solve: 8m + 1 = 5m + 34. What is m?
  5. 5.Solve: 3(y − 1) = y + 13. What is y?
  6. 6.The length of a rectangle is 5 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
  7. 7.The sum of four consecutive whole numbers is 162. What is the smallest of them?
  8. 8.Solve: 3(p − 5) = 2p + 8. What is p?
  9. 9.Solve: t/5 + t/2 = 7. What is t?
  10. 10.The length of a rectangle is 9 cm more than its width. Its perimeter is 134 cm. What is its width (in cm)?
  11. 11.Solve: 5(x − 4) = x + 16. What is x?
  12. 12.Solve: 7n + 10 = 3n + 34. What is n?
  13. 13.The length of a rectangle is 10 cm more than its width. Its perimeter is 104 cm. What is its width (in cm)?
  14. 14.A father is 30 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
  15. 15.The length of a rectangle is 12 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
  16. 16.The sum of two consecutive whole numbers is 11. What is the smallest of them?
  17. 17.Solve: 3(m − 1) = m + 1. What is m?
  18. 18.Solve: 4t + 14 = 2t + 28. What is t?
  19. 19.Solve: 6(t − 2) = 4t + 12. What is t?
  20. 20.A father is 17 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  21. 21.The sum of four consecutive whole numbers is 34. What is the largest of them?
  22. 22.Solve: 6x + 9 = 3x + 27. What is x?
  23. 23.Solve: m/2 + m/4 = 9. What is m?
  24. 24.The sum of three consecutive whole numbers is 159. What is the largest of them?
  25. 25.Solve: 7t + 18 = 5t + 22. What is t?
  26. 26.Solve: 4(m − 2) = 3m + 2. What is m?
  27. 27.The sum of two consecutive whole numbers is 23. What is the largest of them?
  28. 28.Solve: 6m + 15 = 4m + 45. What is m?
  29. 29.Solve: y/6 + y/2 = 4. What is y?
  30. 30.Solve: 3(p − 1) = 2p + 3. What is p?
  31. 31.Solve: 3(m − 4) = 2m + 9. What is m?
  32. 32.The length of a rectangle is 2 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
  33. 33.The sum of four consecutive whole numbers is 94. What is the smallest of them?
  34. 34.Solve: 9m + 10 = 6m + 43. What is m?
  35. 35.The sum of two consecutive whole numbers is 99. What is the smallest of them?
  36. 36.Solve: 5n + 18 = 4n + 29. What is n?
  37. 37.A father is 20 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  38. 38.Solve: 3(m − 4) = m + 8. What is m?
  39. 39.Solve: t/4 + t/3 = 49. What is t?
  40. 40.Solve: 5(m − 2) = 4m + 8. What is m?

Answer key

  1. 3
  2. 30
  3. 4
  4. 11
  5. 8
  6. 22
  7. 39
  8. 23
  9. 10
  10. 29
  11. 9
  12. 6
  13. 21
  14. 12
  15. 19
  16. 5
  17. 2
  18. 7
  19. 12
  20. 11
  21. 10
  22. 6
  23. 12
  24. 54
  25. 2
  26. 10
  27. 12
  28. 15
  29. 6
  30. 6
  31. 21
  32. 19
  33. 22
  34. 11
  35. 49
  36. 11
  37. 12
  38. 10
  39. 84
  40. 18

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