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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 672 · 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.A father is 39 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?
  2. 2.Solve: 8p + 3 = 5p + 30. What is p?
  3. 3.The length of a rectangle is 4 cm more than its width. Its perimeter is 16 cm. What is its width (in cm)?
  4. 4.The sum of two consecutive whole numbers is 27. What is the largest of them?
  5. 5.Solve: 3(x − 3) = 2x + 12. What is x?
  6. 6.The length of a rectangle is 5 cm more than its width. Its perimeter is 18 cm. What is its width (in cm)?
  7. 7.Solve: 3(p − 2) = p + 2. What is p?
  8. 8.The sum of three consecutive whole numbers is 42. What is the smallest of them?
  9. 9.Solve: 4(n − 5) = 3n + 13. What is n?
  10. 10.Solve: 3(m − 1) = 2m + 1. What is m?
  11. 11.Solve: 6(x − 2) = 5x + 11. What is x?
  12. 12.The length of a rectangle is 12 cm more than its width. Its perimeter is 124 cm. What is its width (in cm)?
  13. 13.A father is 30 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
  14. 14.Solve: 6(p − 2) = 5p + 2. What is p?
  15. 15.The sum of two consecutive whole numbers is 67. What is the smallest of them?
  16. 16.Solve: 7x + 18 = 4x + 51. What is x?
  17. 17.The length of a rectangle is 11 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
  18. 18.A father is 16 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?
  19. 19.Solve: 5(x − 3) = x + 13. What is x?
  20. 20.Solve: 6p + 1 = p + 46. What is p?
  21. 21.The length of a rectangle is 7 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
  22. 22.Solve: 3(t − 1) = 2t + 13. What is t?
  23. 23.A father is 8 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  24. 24.Solve: 3(p − 5) = 2p + 2. What is p?
  25. 25.Solve: x/2 + x/5 = 7. What is x?
  26. 26.Solve: t/6 + t/5 = 66. What is t?
  27. 27.Solve: 4(t − 4) = t + 32. What is t?
  28. 28.Solve: 5n + 8 = 2n + 20. What is n?
  29. 29.Solve: p/4 + p/3 = 14. What is p?
  30. 30.The sum of two consecutive whole numbers is 65. What is the largest of them?
  31. 31.A father is 21 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
  32. 32.The sum of two consecutive whole numbers is 89. What is the largest of them?
  33. 33.Solve: 6t + 11 = 5t + 18. What is t?
  34. 34.The sum of two consecutive whole numbers is 33. What is the largest of them?
  35. 35.Solve: 5n + 15 = n + 35. What is n?
  36. 36.Solve: y/5 + y/2 = 42. What is y?
  37. 37.Solve: 6x + 18 = 2x + 26. What is x?
  38. 38.Solve: 6(y − 3) = y + 27. What is y?
  39. 39.A father is 18 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  40. 40.The sum of three consecutive whole numbers is 105. What is the smallest of them?

Answer key

  1. 7
  2. 9
  3. 2
  4. 14
  5. 21
  6. 2
  7. 4
  8. 13
  9. 33
  10. 4
  11. 23
  12. 25
  13. 8
  14. 14
  15. 33
  16. 11
  17. 7
  18. 6
  19. 7
  20. 9
  21. 5
  22. 16
  23. 2
  24. 17
  25. 10
  26. 180
  27. 16
  28. 4
  29. 24
  30. 33
  31. 2
  32. 45
  33. 7
  34. 17
  35. 5
  36. 60
  37. 2
  38. 9
  39. 12
  40. 34

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