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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 892 · 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 14 cm more than its width. Its perimeter is 124 cm. What is its width (in cm)?
  2. 2.Solve: 8y + 2 = 3y + 17. What is y?
  3. 3.The sum of two consecutive whole numbers is 85. What is the largest of them?
  4. 4.Solve: 6(m − 4) = 5m + 9. What is m?
  5. 5.The length of a rectangle is 4 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
  6. 6.The length of a rectangle is 10 cm more than its width. Its perimeter is 36 cm. What is its width (in cm)?
  7. 7.Solve: 4m + 10 = 3m + 24. What is m?
  8. 8.The length of a rectangle is 14 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
  9. 9.Solve: 4(y − 1) = y + 8. What is y?
  10. 10.Solve: 5t + 7 = 2t + 34. What is t?
  11. 11.Solve: 6(n − 1) = n + 54. What is n?
  12. 12.Solve: n/5 + n/3 = 8. What is n?
  13. 13.A father is 12 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  14. 14.The length of a rectangle is 4 cm more than its width. Its perimeter is 112 cm. What is its width (in cm)?
  15. 15.Solve: t/4 + t/5 = 9. What is t?
  16. 16.Solve: y/3 + y/6 = 15. What is y?
  17. 17.A father is 36 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
  18. 18.A father is 5 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  19. 19.The sum of two consecutive whole numbers is 89. What is the largest of them?
  20. 20.Solve: 9p + 4 = p + 116. What is p?
  21. 21.Solve: t/6 + t/3 = 9. What is t?
  22. 22.Solve: 3(m − 1) = m + 21. What is m?
  23. 23.The sum of four consecutive whole numbers is 62. What is the smallest of them?
  24. 24.The length of a rectangle is 15 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
  25. 25.Solve: 3(y − 4) = 2y + 12. What is y?
  26. 26.A father is 11 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  27. 27.The sum of three consecutive whole numbers is 114. What is the largest of them?
  28. 28.Solve: 6y + 10 = 4y + 16. What is y?
  29. 29.The sum of three consecutive whole numbers is 147. What is the largest of them?
  30. 30.Solve: m/5 + m/6 = 88. What is m?
  31. 31.Solve: p/3 + p/5 = 32. What is p?
  32. 32.Solve: 3(t − 4) = 2t + 4. What is t?
  33. 33.Solve: 4x + 20 = x + 35. What is x?
  34. 34.A father is 21 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?
  35. 35.Solve: y/2 + y/6 = 28. What is y?
  36. 36.Solve: m/3 + m/2 = 25. What is m?
  37. 37.Solve: x/6 + x/5 = 88. What is x?
  38. 38.Solve: 4x + 2 = 3x + 5. What is x?
  39. 39.The length of a rectangle is 2 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
  40. 40.Solve: 3(x − 2) = x + 12. What is x?

Answer key

  1. 24
  2. 3
  3. 43
  4. 33
  5. 13
  6. 4
  7. 14
  8. 22
  9. 4
  10. 9
  11. 12
  12. 15
  13. 9
  14. 26
  15. 20
  16. 30
  17. 10
  18. 4
  19. 45
  20. 14
  21. 18
  22. 12
  23. 14
  24. 19
  25. 24
  26. 9
  27. 39
  28. 3
  29. 50
  30. 240
  31. 60
  32. 16
  33. 5
  34. 4
  35. 42
  36. 30
  37. 240
  38. 3
  39. 21
  40. 9

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