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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 320 · 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: y/2 + y/3 = 5. What is y?
  2. 2.Solve: n/5 + n/6 = 22. What is n?
  3. 3.Solve: 8t + 18 = 2t + 66. What is t?
  4. 4.Solve: 9y + 4 = 8y + 13. What is y?
  5. 5.Solve: 9t + 5 = 4t + 10. What is t?
  6. 6.A father is 11 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  7. 7.The sum of two consecutive whole numbers is 31. What is the largest of them?
  8. 8.The length of a rectangle is 12 cm more than its width. Its perimeter is 132 cm. What is its width (in cm)?
  9. 9.Solve: 5(n − 4) = 4n + 10. What is n?
  10. 10.Solve: x/6 + x/2 = 24. What is x?
  11. 11.The sum of three consecutive whole numbers is 153. What is the smallest of them?
  12. 12.Solve: 4(m − 5) = m + 10. What is m?
  13. 13.A father is 54 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?
  14. 14.The length of a rectangle is 12 cm more than its width. Its perimeter is 64 cm. What is its width (in cm)?
  15. 15.Solve: 8y + 2 = 5y + 29. What is y?
  16. 16.Solve: n/3 + n/2 = 25. What is n?
  17. 17.The length of a rectangle is 7 cm more than its width. Its perimeter is 134 cm. What is its width (in cm)?
  18. 18.Solve: 5(n − 5) = n + 15. What is n?
  19. 19.The sum of three consecutive whole numbers is 168. What is the largest of them?
  20. 20.A father is 39 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?
  21. 21.Solve: 3t + 15 = t + 37. What is t?
  22. 22.The length of a rectangle is 5 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
  23. 23.The length of a rectangle is 11 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
  24. 24.Solve: p/5 + p/4 = 9. What is p?
  25. 25.A father is 34 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
  26. 26.The length of a rectangle is 1 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
  27. 27.Solve: 5m + 3 = 2m + 15. What is m?
  28. 28.Solve: 6(m − 4) = 2m + 4. What is m?
  29. 29.A father is 30 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
  30. 30.Solve: 3(y − 2) = y + 2. What is y?
  31. 31.The length of a rectangle is 4 cm more than its width. Its perimeter is 56 cm. What is its width (in cm)?
  32. 32.Solve: 6t + 6 = 2t + 30. What is t?
  33. 33.Solve: 6t + 7 = t + 22. What is t?
  34. 34.The sum of two consecutive whole numbers is 75. What is the largest of them?
  35. 35.The sum of two consecutive whole numbers is 49. What is the smallest of them?
  36. 36.Solve: 3(p − 2) = p + 6. What is p?
  37. 37.The length of a rectangle is 9 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
  38. 38.Solve: 5(p − 4) = 3p + 26. What is p?
  39. 39.Solve: p/6 + p/5 = 22. What is p?
  40. 40.The sum of two consecutive whole numbers is 101. What is the smallest of them?

Answer key

  1. 6
  2. 60
  3. 8
  4. 9
  5. 1
  6. 4
  7. 16
  8. 27
  9. 30
  10. 36
  11. 50
  12. 10
  13. 12
  14. 10
  15. 9
  16. 30
  17. 30
  18. 10
  19. 57
  20. 10
  21. 11
  22. 16
  23. 22
  24. 20
  25. 10
  26. 15
  27. 4
  28. 7
  29. 9
  30. 4
  31. 12
  32. 6
  33. 3
  34. 38
  35. 24
  36. 6
  37. 3
  38. 23
  39. 60
  40. 50

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