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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 531 · 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 three consecutive whole numbers is 105. What is the smallest of them?
  2. 2.The sum of four consecutive whole numbers is 54. What is the largest of them?
  3. 3.The sum of four consecutive whole numbers is 154. What is the largest of them?
  4. 4.Solve: t/4 + t/2 = 15. What is t?
  5. 5.The sum of three consecutive whole numbers is 108. What is the largest of them?
  6. 6.The sum of two consecutive whole numbers is 41. What is the largest of them?
  7. 7.A father is 6 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
  8. 8.The length of a rectangle is 8 cm more than its width. Its perimeter is 72 cm. What is its width (in cm)?
  9. 9.A father is 10 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  10. 10.Solve: 4(t − 1) = t + 38. What is t?
  11. 11.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?
  12. 12.The sum of two consecutive whole numbers is 85. What is the largest of them?
  13. 13.Solve: 3(x − 5) = x + 19. What is x?
  14. 14.A father is 27 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?
  15. 15.Solve: 7y + 19 = 6y + 34. What is y?
  16. 16.Solve: 8y + 3 = 2y + 39. What is y?
  17. 17.A father is 22 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
  18. 18.Solve: 8x + 9 = x + 30. What is x?
  19. 19.The sum of three consecutive whole numbers is 69. What is the smallest of them?
  20. 20.Solve: x/4 + x/6 = 10. What is x?
  21. 21.Solve: 5(p − 2) = p + 2. What is p?
  22. 22.A father is 13 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  23. 23.Solve: p/3 + p/5 = 32. What is p?
  24. 24.Solve: 3y + 12 = y + 18. What is y?
  25. 25.Solve: p/5 + p/6 = 77. What is p?
  26. 26.Solve: 4(n − 4) = 2n + 8. What is n?
  27. 27.Solve: n/5 + n/4 = 18. What is n?
  28. 28.Solve: 7x + 7 = x + 85. What is x?
  29. 29.Solve: x/3 + x/6 = 24. What is x?
  30. 30.Solve: 6y + 15 = 5y + 17. What is y?
  31. 31.The length of a rectangle is 8 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
  32. 32.Solve: 8m + 16 = m + 79. What is m?
  33. 33.Solve: m/3 + m/4 = 7. What is m?
  34. 34.Solve: 3(m − 5) = m + 5. What is m?
  35. 35.Solve: 9t + 11 = 4t + 61. What is t?
  36. 36.A father is 36 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?
  37. 37.Solve: t/6 + t/4 = 5. What is t?
  38. 38.The length of a rectangle is 4 cm more than its width. Its perimeter is 72 cm. What is its width (in cm)?
  39. 39.Solve: 3m + 10 = m + 24. What is m?
  40. 40.Solve: 5m + 7 = m + 51. What is m?

Answer key

  1. 34
  2. 15
  3. 40
  4. 20
  5. 37
  6. 21
  7. 2
  8. 14
  9. 8
  10. 14
  11. 2
  12. 43
  13. 17
  14. 8
  15. 15
  16. 6
  17. 10
  18. 3
  19. 22
  20. 24
  21. 3
  22. 8
  23. 60
  24. 3
  25. 210
  26. 12
  27. 40
  28. 13
  29. 48
  30. 2
  31. 7
  32. 9
  33. 12
  34. 10
  35. 10
  36. 10
  37. 12
  38. 16
  39. 7
  40. 11

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