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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 907 · 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 length of a rectangle is 12 cm more than its width. Its perimeter is 144 cm. What is its width (in cm)?
  2. 2.The length of a rectangle is 1 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
  3. 3.Solve: 4t + 5 = t + 32. What is t?
  4. 4.Solve: x/6 + x/4 = 10. What is x?
  5. 5.Solve: 9y + 8 = 6y + 32. What is y?
  6. 6.The sum of four consecutive whole numbers is 150. What is the largest of them?
  7. 7.The length of a rectangle is 14 cm more than its width. Its perimeter is 132 cm. What is its width (in cm)?
  8. 8.The length of a rectangle is 15 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
  9. 9.Solve: n/5 + n/2 = 7. What is n?
  10. 10.The length of a rectangle is 12 cm more than its width. Its perimeter is 136 cm. What is its width (in cm)?
  11. 11.The sum of two consecutive whole numbers is 99. What is the largest of them?
  12. 12.Solve: t/5 + t/6 = 22. What is t?
  13. 13.The sum of two consecutive whole numbers is 41. What is the smallest of them?
  14. 14.Solve: 5(t − 1) = 2t + 34. What is t?
  15. 15.Solve: x/5 + x/3 = 32. What is x?
  16. 16.The sum of four consecutive whole numbers is 222. What is the smallest of them?
  17. 17.The length of a rectangle is 2 cm more than its width. Its perimeter is 84 cm. What is its width (in cm)?
  18. 18.The length of a rectangle is 2 cm more than its width. Its perimeter is 76 cm. What is its width (in cm)?
  19. 19.A father is 27 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?
  20. 20.The length of a rectangle is 12 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
  21. 21.Solve: 6t + 2 = 4t + 28. What is t?
  22. 22.The length of a rectangle is 11 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
  23. 23.Solve: p/3 + p/4 = 7. What is p?
  24. 24.The sum of two consecutive whole numbers is 15. What is the smallest of them?
  25. 25.The length of a rectangle is 6 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
  26. 26.The length of a rectangle is 4 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
  27. 27.The sum of four consecutive whole numbers is 50. What is the smallest of them?
  28. 28.Solve: 3y + 6 = y + 22. What is y?
  29. 29.The length of a rectangle is 14 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
  30. 30.The length of a rectangle is 5 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
  31. 31.Solve: 3(m − 3) = 2m + 10. What is m?
  32. 32.The sum of three consecutive whole numbers is 33. What is the smallest of them?
  33. 33.Solve: y/4 + y/2 = 21. What is y?
  34. 34.Solve: 5x + 19 = x + 63. What is x?
  35. 35.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?
  36. 36.A father is 45 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?
  37. 37.Solve: t/2 + t/5 = 35. What is t?
  38. 38.The length of a rectangle is 11 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
  39. 39.Solve: 7t + 18 = 4t + 48. What is t?
  40. 40.Solve: 3x + 7 = 2x + 10. What is x?

Answer key

  1. 30
  2. 10
  3. 9
  4. 24
  5. 8
  6. 39
  7. 26
  8. 10
  9. 10
  10. 28
  11. 50
  12. 60
  13. 20
  14. 13
  15. 60
  16. 54
  17. 20
  18. 18
  19. 3
  20. 7
  21. 13
  22. 9
  23. 12
  24. 7
  25. 7
  26. 20
  27. 11
  28. 8
  29. 13
  30. 25
  31. 19
  32. 10
  33. 28
  34. 11
  35. 2
  36. 8
  37. 50
  38. 6
  39. 10
  40. 3

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