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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 330 · 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 sum of four consecutive whole numbers is 62. What is the largest of them?
  2. 2.The length of a rectangle is 3 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
  3. 3.Solve: 3(t − 2) = 2t + 2. What is t?
  4. 4.Solve: n/2 + n/4 = 6. What is n?
  5. 5.Solve: 3(y − 2) = y + 18. What is y?
  6. 6.Solve: 9x + 2 = 7x + 28. What is x?
  7. 7.Solve: 3(m − 5) = 2m + 5. What is m?
  8. 8.The sum of three consecutive whole numbers is 93. What is the smallest of them?
  9. 9.A father is 42 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?
  10. 10.Solve: p/4 + p/3 = 7. What is p?
  11. 11.A father is 18 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: 7t + 13 = 2t + 43. What is t?
  13. 13.Solve: 9n + 18 = 4n + 33. What is n?
  14. 14.A father is 14 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  15. 15.Solve: 3t + 3 = 2t + 11. What is t?
  16. 16.The sum of four consecutive whole numbers is 238. What is the largest of them?
  17. 17.The length of a rectangle is 10 cm more than its width. Its perimeter is 132 cm. What is its width (in cm)?
  18. 18.Solve: 4(x − 5) = 2x + 24. What is x?
  19. 19.Solve: m/5 + m/4 = 45. What is m?
  20. 20.A father is 36 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?
  21. 21.Solve: 4(p − 3) = 2p + 2. What is p?
  22. 22.A father is 15 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  23. 23.The length of a rectangle is 2 cm more than its width. Its perimeter is 16 cm. What is its width (in cm)?
  24. 24.Solve: 6y + 4 = y + 79. What is y?
  25. 25.Solve: 9x + 11 = 6x + 56. What is x?
  26. 26.Solve: 8y + 6 = 3y + 21. What is y?
  27. 27.The sum of four consecutive whole numbers is 166. What is the smallest of them?
  28. 28.The sum of two consecutive whole numbers is 67. What is the smallest of them?
  29. 29.Solve: y/2 + y/5 = 14. What is y?
  30. 30.Solve: n/5 + n/2 = 14. What is n?
  31. 31.Solve: x/6 + x/5 = 11. What is x?
  32. 32.Solve: 4(x − 3) = x + 30. What is x?
  33. 33.Solve: 3x + 1 = 2x + 14. What is x?
  34. 34.Solve: m/2 + m/6 = 24. What is m?
  35. 35.Solve: 3(x − 5) = 2x + 12. What is x?
  36. 36.The length of a rectangle is 4 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
  37. 37.Solve: 4(x − 5) = x + 28. What is x?
  38. 38.A father is 42 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?
  39. 39.The sum of two consecutive whole numbers is 79. What is the smallest of them?
  40. 40.Solve: 3y + 15 = y + 31. What is y?

Answer key

  1. 17
  2. 5
  3. 8
  4. 8
  5. 12
  6. 13
  7. 20
  8. 30
  9. 12
  10. 12
  11. 4
  12. 6
  13. 3
  14. 9
  15. 8
  16. 61
  17. 28
  18. 22
  19. 100
  20. 10
  21. 7
  22. 8
  23. 3
  24. 15
  25. 15
  26. 3
  27. 40
  28. 33
  29. 20
  30. 20
  31. 30
  32. 14
  33. 13
  34. 36
  35. 27
  36. 11
  37. 16
  38. 6
  39. 39
  40. 8

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