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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 669 · 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 1 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
  2. 2.Solve: m/5 + m/2 = 14. What is m?
  3. 3.Solve: 9y + 5 = 2y + 26. What is y?
  4. 4.The length of a rectangle is 2 cm more than its width. Its perimeter is 92 cm. What is its width (in cm)?
  5. 5.A father is 48 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?
  6. 6.Solve: 3(x − 3) = 2x + 11. What is x?
  7. 7.A father is 5 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  8. 8.Solve: 4(y − 5) = y + 7. What is y?
  9. 9.Solve: m/3 + m/6 = 12. What is m?
  10. 10.Solve: m/3 + m/4 = 35. What is m?
  11. 11.Solve: 4x + 9 = x + 18. What is x?
  12. 12.Solve: 4(m − 3) = 2m + 6. What is m?
  13. 13.The length of a rectangle is 3 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
  14. 14.Solve: 6(t − 4) = t + 41. What is t?
  15. 15.A father is 30 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?
  16. 16.Solve: 4m + 2 = m + 14. What is m?
  17. 17.The length of a rectangle is 10 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
  18. 18.Solve: t/6 + t/3 = 21. What is t?
  19. 19.The sum of three consecutive whole numbers is 150. What is the largest of them?
  20. 20.Solve: 3p + 1 = p + 25. What is p?
  21. 21.The sum of three consecutive whole numbers is 30. What is the largest of them?
  22. 22.Solve: n/2 + n/5 = 56. What is n?
  23. 23.The length of a rectangle is 3 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
  24. 24.Solve: 9x + 5 = 7x + 15. What is x?
  25. 25.The length of a rectangle is 9 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
  26. 26.Solve: 8n + 9 = 3n + 59. What is n?
  27. 27.Solve: 7t + 16 = t + 94. What is t?
  28. 28.The length of a rectangle is 3 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
  29. 29.Solve: 4(x − 2) = 2x + 10. What is x?
  30. 30.Solve: t/6 + t/5 = 88. What is t?
  31. 31.A father is 12 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  32. 32.Solve: 6y + 19 = 2y + 31. What is y?
  33. 33.The length of a rectangle is 11 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
  34. 34.Solve: 4(x − 2) = 3x + 12. What is x?
  35. 35.The length of a rectangle is 5 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
  36. 36.Solve: x/2 + x/4 = 3. What is x?
  37. 37.Solve: 6(p − 4) = 4p + 6. What is p?
  38. 38.The length of a rectangle is 10 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
  39. 39.Solve: 6(m − 5) = m + 20. What is m?
  40. 40.Solve: 8p + 13 = 6p + 23. What is p?

Answer key

  1. 14
  2. 20
  3. 3
  4. 22
  5. 8
  6. 20
  7. 3
  8. 9
  9. 24
  10. 60
  11. 3
  12. 9
  13. 13
  14. 13
  15. 4
  16. 4
  17. 10
  18. 42
  19. 51
  20. 12
  21. 11
  22. 80
  23. 27
  24. 5
  25. 21
  26. 10
  27. 13
  28. 17
  29. 9
  30. 240
  31. 11
  32. 3
  33. 25
  34. 20
  35. 11
  36. 4
  37. 15
  38. 12
  39. 10
  40. 5

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