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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 510 · 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: 3(y − 1) = y + 9. What is y?
  2. 2.The sum of four consecutive whole numbers is 58. What is the largest of them?
  3. 3.The sum of two consecutive whole numbers is 37. What is the smallest of them?
  4. 4.Solve: 4p + 15 = 2p + 43. What is p?
  5. 5.The length of a rectangle is 13 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
  6. 6.Solve: y/5 + y/3 = 40. What is y?
  7. 7.The sum of two consecutive whole numbers is 67. What is the largest of them?
  8. 8.Solve: 6(y − 2) = 5y + 2. What is y?
  9. 9.Solve: 6t + 5 = 4t + 7. What is t?
  10. 10.Solve: 6n + 7 = n + 27. What is n?
  11. 11.Solve: 8t + 10 = 3t + 60. What is t?
  12. 12.Solve: 6(y − 3) = 2y + 18. What is y?
  13. 13.A father is 12 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?
  14. 14.Solve: x/5 + x/6 = 11. What is x?
  15. 15.Solve: 3m + 3 = m + 29. What is m?
  16. 16.Solve: m/2 + m/4 = 3. What is m?
  17. 17.Solve: 4n + 12 = 2n + 26. What is n?
  18. 18.The sum of four consecutive whole numbers is 90. What is the smallest of them?
  19. 19.Solve: 3(n − 1) = n + 3. What is n?
  20. 20.Solve: 7x + 20 = 2x + 95. What is x?
  21. 21.A father is 13 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  22. 22.A father is 15 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  23. 23.Solve: 4t + 17 = 3t + 26. What is t?
  24. 24.The length of a rectangle is 13 cm more than its width. Its perimeter is 142 cm. What is its width (in cm)?
  25. 25.The sum of four consecutive whole numbers is 186. What is the largest of them?
  26. 26.The length of a rectangle is 15 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
  27. 27.The length of a rectangle is 7 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
  28. 28.Solve: 8n + 15 = 4n + 71. What is n?
  29. 29.The sum of four consecutive whole numbers is 82. What is the smallest of them?
  30. 30.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?
  31. 31.A father is 22 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?
  32. 32.Solve: 3(x − 4) = x + 6. What is x?
  33. 33.Solve: 6(p − 4) = p + 1. What is p?
  34. 34.The sum of four consecutive whole numbers is 110. What is the smallest of them?
  35. 35.The sum of four consecutive whole numbers is 198. What is the largest of them?
  36. 36.Solve: 3x + 2 = x + 26. What is x?
  37. 37.Solve: 5x + 20 = x + 72. What is x?
  38. 38.The sum of four consecutive whole numbers is 166. What is the smallest of them?
  39. 39.A father is 12 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  40. 40.Solve: 5p + 7 = p + 15. What is p?

Answer key

  1. 6
  2. 16
  3. 18
  4. 14
  5. 3
  6. 75
  7. 34
  8. 14
  9. 1
  10. 4
  11. 10
  12. 9
  13. 2
  14. 30
  15. 13
  16. 4
  17. 7
  18. 21
  19. 3
  20. 15
  21. 5
  22. 11
  23. 9
  24. 29
  25. 48
  26. 20
  27. 3
  28. 14
  29. 19
  30. 5
  31. 9
  32. 9
  33. 5
  34. 26
  35. 51
  36. 12
  37. 13
  38. 40
  39. 4
  40. 2

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