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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 804 · 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 sum of three consecutive whole numbers is 90. What is the smallest of them?
  2. 2.A father is 28 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
  3. 3.Solve: 3(x − 1) = x + 1. What is x?
  4. 4.The length of a rectangle is 8 cm more than its width. Its perimeter is 56 cm. What is its width (in cm)?
  5. 5.The sum of two consecutive whole numbers is 49. What is the smallest of them?
  6. 6.Solve: y/6 + y/5 = 22. What is y?
  7. 7.A father is 42 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
  8. 8.Solve: 5(n − 4) = 4n + 2. What is n?
  9. 9.The sum of three consecutive whole numbers is 48. What is the smallest of them?
  10. 10.A father is 24 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?
  11. 11.Solve: 6x + 14 = 3x + 35. What is x?
  12. 12.Solve: 5(m − 4) = m + 8. What is m?
  13. 13.A father is 8 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  14. 14.Solve: 3(t − 5) = t + 9. What is t?
  15. 15.Solve: 5(p − 5) = 2p + 32. What is p?
  16. 16.A father is 17 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  17. 17.The length of a rectangle is 11 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
  18. 18.Solve: 7n + 20 = 3n + 40. What is n?
  19. 19.Solve: 8t + 4 = 4t + 24. What is t?
  20. 20.Solve: y/6 + y/3 = 18. What is y?
  21. 21.Solve: 5(m − 4) = 4m + 1. What is m?
  22. 22.The length of a rectangle is 4 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
  23. 23.Solve: 4t + 5 = t + 26. What is t?
  24. 24.The sum of two consecutive whole numbers is 63. What is the smallest of them?
  25. 25.The length of a rectangle is 6 cm more than its width. Its perimeter is 76 cm. What is its width (in cm)?
  26. 26.Solve: 5(y − 3) = 3y + 5. What is y?
  27. 27.A father is 6 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  28. 28.Solve: 3(p − 4) = 2p + 3. What is p?
  29. 29.Solve: 4m + 5 = 2m + 17. What is m?
  30. 30.Solve: 4x + 15 = x + 18. What is x?
  31. 31.Solve: x/3 + x/5 = 16. What is x?
  32. 32.Solve: 6p + 8 = 5p + 9. What is p?
  33. 33.The length of a rectangle is 4 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
  34. 34.A father is 33 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?
  35. 35.The length of a rectangle is 11 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
  36. 36.Solve: 6(x − 4) = 4x + 2. What is x?
  37. 37.Solve: 4m + 4 = 2m + 6. What is m?
  38. 38.Solve: 5t + 8 = t + 16. What is t?
  39. 39.Solve: 7x + 16 = 2x + 36. What is x?
  40. 40.Solve: 3(x − 3) = 2x + 7. What is x?

Answer key

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

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