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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 544 · 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: 4y + 16 = 3y + 31. What is y?
  2. 2.Solve: p/2 + p/3 = 5. What is p?
  3. 3.The sum of two consecutive whole numbers is 11. What is the smallest of them?
  4. 4.Solve: 4(n − 5) = 2n + 4. What is n?
  5. 5.The sum of four consecutive whole numbers is 66. What is the largest of them?
  6. 6.The sum of four consecutive whole numbers is 214. What is the smallest of them?
  7. 7.The sum of four consecutive whole numbers is 62. What is the largest of them?
  8. 8.Solve: 3(n − 1) = 2n + 2. What is n?
  9. 9.Solve: 4(p − 3) = 3p + 6. What is p?
  10. 10.Solve: 4(t − 1) = t + 38. What is t?
  11. 11.Solve: 4y + 14 = y + 29. What is y?
  12. 12.Solve: 5n + 14 = 2n + 38. What is n?
  13. 13.The sum of three consecutive whole numbers is 168. What is the largest of them?
  14. 14.A father is 18 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  15. 15.Solve: 5(p − 4) = p + 24. What is p?
  16. 16.The sum of four consecutive whole numbers is 146. What is the largest of them?
  17. 17.Solve: 9p + 5 = p + 101. What is p?
  18. 18.A father is 12 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  19. 19.A father is 18 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
  20. 20.Solve: 4(t − 3) = t + 27. What is t?
  21. 21.Solve: x/2 + x/6 = 24. What is x?
  22. 22.Solve: 3x + 4 = x + 14. What is x?
  23. 23.Solve: y/2 + y/6 = 16. What is y?
  24. 24.The sum of four consecutive whole numbers is 70. What is the smallest of them?
  25. 25.Solve: 7p + 13 = 6p + 27. What is p?
  26. 26.The sum of two consecutive whole numbers is 105. What is the smallest of them?
  27. 27.Solve: 3(n − 5) = n + 3. What is n?
  28. 28.Solve: 4(n − 5) = 3n + 9. What is n?
  29. 29.Solve: 9t + 16 = 8t + 17. What is t?
  30. 30.Solve: 6t + 20 = t + 95. What is t?
  31. 31.The sum of three consecutive whole numbers is 54. What is the largest of them?
  32. 32.Solve: 6(x − 4) = x + 51. What is x?
  33. 33.A father is 22 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?
  34. 34.The length of a rectangle is 1 cm more than its width. Its perimeter is 14 cm. What is its width (in cm)?
  35. 35.Solve: 6y + 17 = 3y + 56. What is y?
  36. 36.A father is 12 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  37. 37.Solve: 4p + 6 = 3p + 14. What is p?
  38. 38.The length of a rectangle is 11 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
  39. 39.The sum of four consecutive whole numbers is 226. What is the smallest of them?
  40. 40.The sum of four consecutive whole numbers is 190. What is the largest of them?

Answer key

  1. 15
  2. 6
  3. 5
  4. 12
  5. 18
  6. 52
  7. 17
  8. 5
  9. 18
  10. 14
  11. 5
  12. 8
  13. 57
  14. 12
  15. 11
  16. 38
  17. 12
  18. 5
  19. 3
  20. 13
  21. 36
  22. 5
  23. 24
  24. 16
  25. 14
  26. 52
  27. 9
  28. 29
  29. 1
  30. 15
  31. 19
  32. 15
  33. 7
  34. 3
  35. 13
  36. 11
  37. 8
  38. 22
  39. 55
  40. 49

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