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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 936 · 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(x − 2) = x + 14. What is x?
  2. 2.Solve: 6(x − 2) = 3x + 33. What is x?
  3. 3.Solve: x/2 + x/5 = 14. What is x?
  4. 4.A father is 16 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?
  5. 5.The sum of four consecutive whole numbers is 242. What is the largest of them?
  6. 6.Solve: m/5 + m/6 = 11. What is m?
  7. 7.Solve: 6y + 11 = 2y + 35. What is y?
  8. 8.A father is 28 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
  9. 9.The length of a rectangle is 13 cm more than its width. Its perimeter is 142 cm. What is its width (in cm)?
  10. 10.Solve: 5t + 19 = t + 23. What is t?
  11. 11.Solve: p/3 + p/5 = 32. What is p?
  12. 12.The length of a rectangle is 8 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
  13. 13.Solve: n/5 + n/2 = 14. What is n?
  14. 14.Solve: 9x + 20 = 7x + 40. What is x?
  15. 15.The length of a rectangle is 5 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
  16. 16.Solve: t/5 + t/4 = 18. What is t?
  17. 17.Solve: t/4 + t/6 = 10. What is t?
  18. 18.A father is 13 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  19. 19.Solve: m/6 + m/3 = 12. What is m?
  20. 20.Solve: 3(y − 3) = y + 11. What is y?
  21. 21.A father is 36 years older than his son. In 4 years, the father will be four times as old as his son. How old is the son now?
  22. 22.Solve: 4p + 7 = 3p + 19. What is p?
  23. 23.Solve: 6(x − 2) = x + 8. What is x?
  24. 24.The length of a rectangle is 5 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
  25. 25.Solve: 5(x − 3) = 3x + 5. What is x?
  26. 26.Solve: t/5 + t/2 = 35. What is t?
  27. 27.A father is 24 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?
  28. 28.Solve: n/4 + n/3 = 14. What is n?
  29. 29.The length of a rectangle is 3 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
  30. 30.A father is 10 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?
  31. 31.Solve: 7t + 14 = t + 62. What is t?
  32. 32.Solve: x/3 + x/2 = 10. What is x?
  33. 33.Solve: 3y + 2 = 2y + 13. What is y?
  34. 34.The sum of three consecutive whole numbers is 72. What is the smallest of them?
  35. 35.Solve: 5(y − 5) = y + 35. What is y?
  36. 36.The length of a rectangle is 9 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
  37. 37.The length of a rectangle is 2 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
  38. 38.A father is 45 years older than his son. In 4 years, the father will be four times as old as his son. How old is the son now?
  39. 39.Solve: 9m + 18 = 2m + 102. What is m?
  40. 40.A father is 33 years older than his son. In 4 years, the father will be four times as old as his son. How old is the son now?

Answer key

  1. 10
  2. 15
  3. 20
  4. 6
  5. 62
  6. 30
  7. 6
  8. 9
  9. 29
  10. 1
  11. 60
  12. 9
  13. 20
  14. 10
  15. 20
  16. 40
  17. 24
  18. 10
  19. 24
  20. 10
  21. 8
  22. 12
  23. 4
  24. 21
  25. 10
  26. 50
  27. 6
  28. 24
  29. 26
  30. 4
  31. 8
  32. 12
  33. 11
  34. 23
  35. 15
  36. 10
  37. 21
  38. 11
  39. 12
  40. 7

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