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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 348 · 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 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?
  2. 2.Solve: n/5 + n/3 = 8. What is n?
  3. 3.Solve: 5(x − 5) = 2x + 20. What is x?
  4. 4.The sum of four consecutive whole numbers is 198. What is the smallest of them?
  5. 5.Solve: n/5 + n/4 = 9. What is n?
  6. 6.A father is 15 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
  7. 7.Solve: 6y + 4 = 4y + 8. What is y?
  8. 8.The length of a rectangle is 6 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
  9. 9.The sum of two consecutive whole numbers is 93. What is the smallest of them?
  10. 10.The sum of four consecutive whole numbers is 222. What is the largest of them?
  11. 11.The length of a rectangle is 3 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
  12. 12.Solve: x/3 + x/5 = 32. What is x?
  13. 13.The sum of four consecutive whole numbers is 78. What is the smallest of them?
  14. 14.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?
  15. 15.Solve: t/4 + t/6 = 25. What is t?
  16. 16.Solve: 4x + 5 = 3x + 9. What is x?
  17. 17.A father is 27 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
  18. 18.Solve: 6(p − 5) = p + 40. What is p?
  19. 19.The length of a rectangle is 6 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
  20. 20.Solve: 4y + 9 = y + 39. What is y?
  21. 21.Solve: 6y + 4 = y + 19. What is y?
  22. 22.The sum of two consecutive whole numbers is 11. What is the largest of them?
  23. 23.The sum of three consecutive whole numbers is 117. What is the largest of them?
  24. 24.Solve: 8p + 6 = 2p + 78. What is p?
  25. 25.Solve: 3(t − 4) = 2t + 9. What is t?
  26. 26.Solve: 3(t − 2) = 2t + 4. What is t?
  27. 27.The sum of two consecutive whole numbers is 27. What is the largest of them?
  28. 28.Solve: 3p + 11 = 2p + 18. What is p?
  29. 29.A father is 15 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  30. 30.Solve: 4(m − 3) = 3m + 12. What is m?
  31. 31.The length of a rectangle is 15 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
  32. 32.Solve: 9x + 2 = 3x + 50. What is x?
  33. 33.Solve: n/5 + n/2 = 35. What is n?
  34. 34.Solve: 9x + 7 = 3x + 19. What is x?
  35. 35.The sum of two consecutive whole numbers is 17. What is the smallest of them?
  36. 36.Solve: 5y + 6 = y + 26. What is y?
  37. 37.Solve: t/6 + t/5 = 88. What is t?
  38. 38.Solve: 5x + 2 = 4x + 13. What is x?
  39. 39.The sum of three consecutive whole numbers is 96. What is the smallest of them?
  40. 40.Solve: 5(n − 1) = n + 19. What is n?

Answer key

  1. 5
  2. 15
  3. 15
  4. 48
  5. 20
  6. 4
  7. 2
  8. 8
  9. 46
  10. 57
  11. 5
  12. 60
  13. 18
  14. 8
  15. 60
  16. 4
  17. 2
  18. 14
  19. 9
  20. 10
  21. 3
  22. 6
  23. 40
  24. 12
  25. 21
  26. 10
  27. 14
  28. 7
  29. 9
  30. 24
  31. 8
  32. 8
  33. 50
  34. 2
  35. 8
  36. 5
  37. 240
  38. 11
  39. 31
  40. 6

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