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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 158 · 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 60. What is the smallest of them?
  2. 2.Solve: 7t + 7 = 2t + 52. What is t?
  3. 3.The length of a rectangle is 2 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
  4. 4.Solve: n/4 + n/5 = 45. What is n?
  5. 5.Solve: t/3 + t/5 = 8. What is t?
  6. 6.Solve: 3(m − 2) = m + 8. What is m?
  7. 7.Solve: t/3 + t/6 = 3. What is t?
  8. 8.The sum of three consecutive whole numbers is 93. What is the largest of them?
  9. 9.Solve: 3y + 6 = y + 24. What is y?
  10. 10.Solve: 5t + 7 = 3t + 19. What is t?
  11. 11.The sum of three consecutive whole numbers is 78. What is the smallest of them?
  12. 12.Solve: 6y + 13 = 3y + 49. What is y?
  13. 13.Solve: 7t + 4 = 5t + 8. What is t?
  14. 14.A father is 19 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: n/4 + n/3 = 42. What is n?
  16. 16.Solve: 3(y − 2) = y + 18. What is y?
  17. 17.The length of a rectangle is 6 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
  18. 18.Solve: x/6 + x/2 = 20. What is x?
  19. 19.Solve: t/6 + t/4 = 15. What is t?
  20. 20.Solve: 7x + 14 = x + 32. What is x?
  21. 21.Solve: 3(t − 4) = 2t + 13. What is t?
  22. 22.Solve: 5(m − 2) = 4m + 13. What is m?
  23. 23.Solve: 4(y − 1) = y + 32. What is y?
  24. 24.The length of a rectangle is 15 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
  25. 25.The sum of four consecutive whole numbers is 130. What is the largest of them?
  26. 26.A father is 9 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  27. 27.A father is 54 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
  28. 28.Solve: 6y + 20 = 4y + 30. What is y?
  29. 29.The length of a rectangle is 11 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
  30. 30.Solve: p/6 + p/5 = 55. What is p?
  31. 31.Solve: 3y + 16 = y + 38. What is y?
  32. 32.Solve: 4(p − 4) = 3p + 6. What is p?
  33. 33.Solve: 4(p − 1) = p + 14. What is p?
  34. 34.The sum of two consecutive whole numbers is 45. What is the largest of them?
  35. 35.A father is 5 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  36. 36.Solve: 5(y − 1) = 4y + 13. What is y?
  37. 37.Solve: t/6 + t/3 = 6. What is t?
  38. 38.The length of a rectangle is 12 cm more than its width. Its perimeter is 64 cm. What is its width (in cm)?
  39. 39.Solve: 3(t − 5) = t + 5. What is t?
  40. 40.A father is 38 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?

Answer key

  1. 19
  2. 9
  3. 16
  4. 100
  5. 15
  6. 7
  7. 6
  8. 32
  9. 9
  10. 6
  11. 25
  12. 12
  13. 2
  14. 12
  15. 72
  16. 12
  17. 17
  18. 30
  19. 36
  20. 3
  21. 25
  22. 23
  23. 12
  24. 20
  25. 34
  26. 3
  27. 12
  28. 5
  29. 10
  30. 150
  31. 11
  32. 22
  33. 6
  34. 23
  35. 2
  36. 18
  37. 12
  38. 10
  39. 10
  40. 12

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