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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 363 · 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.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?
  2. 2.The sum of three consecutive whole numbers is 33. What is the largest of them?
  3. 3.Solve: 5(t − 4) = 4t + 4. What is t?
  4. 4.The length of a rectangle is 15 cm more than its width. Its perimeter is 138 cm. What is its width (in cm)?
  5. 5.The length of a rectangle is 4 cm more than its width. Its perimeter is 64 cm. What is its width (in cm)?
  6. 6.Solve: 3(p − 4) = 2p + 3. What is p?
  7. 7.Solve: 4(n − 4) = 3n + 9. What is n?
  8. 8.The sum of four consecutive whole numbers is 78. What is the smallest of them?
  9. 9.Solve: y/2 + y/4 = 24. What is y?
  10. 10.Solve: 4(m − 1) = 2m + 24. What is m?
  11. 11.The length of a rectangle is 12 cm more than its width. Its perimeter is 72 cm. What is its width (in cm)?
  12. 12.The length of a rectangle is 1 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
  13. 13.Solve: 3(t − 5) = 2t + 10. What is t?
  14. 14.Solve: 8m + 14 = m + 112. What is m?
  15. 15.Solve: t/4 + t/5 = 54. What is t?
  16. 16.The sum of four consecutive whole numbers is 134. What is the largest of them?
  17. 17.The length of a rectangle is 5 cm more than its width. Its perimeter is 130 cm. What is its width (in cm)?
  18. 18.A father is 28 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?
  19. 19.Solve: 7m + 20 = 6m + 29. What is m?
  20. 20.Solve: y/3 + y/4 = 28. What is y?
  21. 21.A father is 26 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
  22. 22.A father is 30 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?
  23. 23.The sum of four consecutive whole numbers is 154. What is the largest of them?
  24. 24.Solve: p/3 + p/2 = 5. What is p?
  25. 25.Solve: 4(t − 5) = 2t + 16. What is t?
  26. 26.A father is 18 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?
  27. 27.Solve: 6(x − 2) = 2x + 44. What is x?
  28. 28.Solve: n/5 + n/3 = 56. What is n?
  29. 29.The sum of four consecutive whole numbers is 66. What is the largest of them?
  30. 30.Solve: y/4 + y/3 = 21. What is y?
  31. 31.Solve: 5(p − 3) = 4p + 7. What is p?
  32. 32.Solve: 6(m − 5) = 2m + 42. What is m?
  33. 33.Solve: x/6 + x/4 = 20. What is x?
  34. 34.Solve: t/6 + t/4 = 20. What is t?
  35. 35.The sum of four consecutive whole numbers is 162. What is the largest of them?
  36. 36.Solve: 3m + 9 = m + 35. What is m?
  37. 37.Solve: 5(t − 2) = t + 34. What is t?
  38. 38.Solve: 5y + 18 = 2y + 36. What is y?
  39. 39.The sum of three consecutive whole numbers is 18. What is the smallest of them?
  40. 40.Solve: 4(y − 1) = 3y + 3. What is y?

Answer key

  1. 5
  2. 12
  3. 24
  4. 27
  5. 14
  6. 15
  7. 25
  8. 18
  9. 32
  10. 14
  11. 12
  12. 10
  13. 25
  14. 14
  15. 120
  16. 35
  17. 30
  18. 10
  19. 9
  20. 48
  21. 5
  22. 7
  23. 40
  24. 6
  25. 18
  26. 7
  27. 14
  28. 105
  29. 18
  30. 36
  31. 22
  32. 18
  33. 48
  34. 48
  35. 42
  36. 13
  37. 11
  38. 6
  39. 5
  40. 7

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