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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 253 · 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: 5m + 11 = 2m + 32. What is m?
  2. 2.Solve: t/5 + t/3 = 40. What is t?
  3. 3.A father is 36 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?
  4. 4.Solve: 5(y − 1) = 4y + 9. What is y?
  5. 5.The sum of two consecutive whole numbers is 37. What is the smallest of them?
  6. 6.The length of a rectangle is 12 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
  7. 7.The length of a rectangle is 8 cm more than its width. Its perimeter is 36 cm. What is its width (in cm)?
  8. 8.Solve: 6n + 14 = 5n + 25. What is n?
  9. 9.The length of a rectangle is 9 cm more than its width. Its perimeter is 130 cm. What is its width (in cm)?
  10. 10.The length of a rectangle is 5 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
  11. 11.The sum of two consecutive whole numbers is 27. What is the largest of them?
  12. 12.A father is 15 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  13. 13.Solve: 8p + 7 = 7p + 9. What is p?
  14. 14.A father is 19 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  15. 15.Solve: 7n + 9 = 2n + 39. What is n?
  16. 16.Solve: m/4 + m/2 = 15. What is m?
  17. 17.Solve: 6(y − 5) = 4y + 24. What is y?
  18. 18.A father is 9 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  19. 19.Solve: 6y + 9 = 5y + 18. What is y?
  20. 20.Solve: 9n + 5 = 5n + 49. What is n?
  21. 21.The length of a rectangle is 2 cm more than its width. Its perimeter is 92 cm. What is its width (in cm)?
  22. 22.The length of a rectangle is 9 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
  23. 23.The length of a rectangle is 4 cm more than its width. Its perimeter is 128 cm. What is its width (in cm)?
  24. 24.The sum of three consecutive whole numbers is 138. What is the smallest of them?
  25. 25.The sum of four consecutive whole numbers is 118. What is the largest of them?
  26. 26.Solve: 5y + 10 = 2y + 13. What is y?
  27. 27.The length of a rectangle is 3 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
  28. 28.The length of a rectangle is 1 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
  29. 29.Solve: 3(m − 4) = 2m + 10. What is m?
  30. 30.The length of a rectangle is 8 cm more than its width. Its perimeter is 24 cm. What is its width (in cm)?
  31. 31.A father is 18 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
  32. 32.Solve: 4(m − 4) = 3m + 13. What is m?
  33. 33.The length of a rectangle is 13 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
  34. 34.Solve: 3(p − 1) = 2p + 7. What is p?
  35. 35.Solve: 9t + 20 = 8t + 32. What is t?
  36. 36.A father is 22 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?
  37. 37.Solve: 4p + 14 = 2p + 38. What is p?
  38. 38.A father is 14 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
  39. 39.The sum of two consecutive whole numbers is 113. What is the largest of them?
  40. 40.Solve: 4(x − 1) = 3x + 9. What is x?

Answer key

  1. 7
  2. 75
  3. 11
  4. 14
  5. 18
  6. 21
  7. 5
  8. 11
  9. 28
  10. 5
  11. 14
  12. 8
  13. 2
  14. 12
  15. 6
  16. 20
  17. 27
  18. 5
  19. 9
  20. 11
  21. 22
  22. 20
  23. 30
  24. 45
  25. 31
  26. 1
  27. 8
  28. 6
  29. 22
  30. 2
  31. 5
  32. 29
  33. 8
  34. 10
  35. 12
  36. 5
  37. 12
  38. 5
  39. 57
  40. 13

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