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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 908 · 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 10 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
  2. 2.The length of a rectangle is 1 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
  3. 3.Solve: 4(n − 2) = 3n + 3. What is n?
  4. 4.Solve: 3p + 1 = p + 25. What is p?
  5. 5.Solve: 5y + 5 = 4y + 12. What is y?
  6. 6.Solve: 5(t − 1) = t + 11. What is t?
  7. 7.Solve: 5(y − 4) = y + 40. What is y?
  8. 8.The length of a rectangle is 9 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
  9. 9.Solve: 3(m − 4) = 2m + 9. What is m?
  10. 10.The sum of four consecutive whole numbers is 134. What is the smallest of them?
  11. 11.Solve: p/4 + p/2 = 24. What is p?
  12. 12.Solve: x/5 + x/6 = 44. What is x?
  13. 13.Solve: 7m + 8 = m + 56. What is m?
  14. 14.Solve: x/6 + x/4 = 15. What is x?
  15. 15.Solve: 4t + 2 = 3t + 16. What is t?
  16. 16.Solve: 5t + 2 = 3t + 28. What is t?
  17. 17.Solve: 3(p − 2) = 2p + 4. What is p?
  18. 18.The length of a rectangle is 4 cm more than its width. Its perimeter is 72 cm. What is its width (in cm)?
  19. 19.Solve: 9n + 15 = 8n + 29. What is n?
  20. 20.Solve: m/5 + m/2 = 42. What is m?
  21. 21.Solve: 5m + 7 = 2m + 19. What is m?
  22. 22.Solve: 5m + 4 = m + 40. What is m?
  23. 23.The length of a rectangle is 4 cm more than its width. Its perimeter is 28 cm. What is its width (in cm)?
  24. 24.The sum of four consecutive whole numbers is 114. What is the largest of them?
  25. 25.A father is 60 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?
  26. 26.Solve: 6(x − 1) = 5x + 2. What is x?
  27. 27.The length of a rectangle is 4 cm more than its width. Its perimeter is 20 cm. What is its width (in cm)?
  28. 28.A father is 13 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  29. 29.The length of a rectangle is 2 cm more than its width. Its perimeter is 20 cm. What is its width (in cm)?
  30. 30.Solve: 9x + 8 = 8x + 10. What is x?
  31. 31.The sum of four consecutive whole numbers is 206. What is the largest of them?
  32. 32.Solve: 3(n − 5) = 2n + 3. What is n?
  33. 33.A father is 12 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?
  34. 34.Solve: 3(y − 1) = 2y + 1. What is y?
  35. 35.Solve: 5x + 4 = 4x + 11. What is x?
  36. 36.Solve: x/3 + x/6 = 18. What is x?
  37. 37.Solve: 9x + 7 = 4x + 67. What is x?
  38. 38.Solve: 5(t − 1) = 2t + 25. What is t?
  39. 39.A father is 11 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  40. 40.The sum of four consecutive whole numbers is 210. What is the largest of them?

Answer key

  1. 3
  2. 21
  3. 11
  4. 12
  5. 7
  6. 4
  7. 15
  8. 26
  9. 21
  10. 32
  11. 32
  12. 120
  13. 8
  14. 36
  15. 14
  16. 13
  17. 10
  18. 16
  19. 14
  20. 60
  21. 4
  22. 9
  23. 5
  24. 30
  25. 12
  26. 8
  27. 3
  28. 12
  29. 4
  30. 2
  31. 53
  32. 18
  33. 5
  34. 4
  35. 7
  36. 36
  37. 12
  38. 10
  39. 7
  40. 54

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