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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 464 · 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: 4x + 18 = 2x + 20. What is x?
  2. 2.Solve: 3(n − 4) = n + 18. What is n?
  3. 3.Solve: x/2 + x/6 = 16. What is x?
  4. 4.Solve: 5(y − 2) = 3y + 6. What is y?
  5. 5.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?
  6. 6.Solve: 5(t − 1) = 3t + 23. What is t?
  7. 7.Solve: 9t + 5 = t + 21. What is t?
  8. 8.The length of a rectangle is 7 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
  9. 9.Solve: 3(t − 5) = t + 9. What is t?
  10. 10.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?
  11. 11.The sum of four consecutive whole numbers is 98. What is the smallest of them?
  12. 12.The sum of three consecutive whole numbers is 177. What is the largest of them?
  13. 13.Solve: y/4 + y/2 = 6. What is y?
  14. 14.Solve: 9x + 4 = 4x + 74. What is x?
  15. 15.Solve: 8y + 18 = 2y + 36. What is y?
  16. 16.Solve: 3n + 1 = n + 9. What is n?
  17. 17.Solve: 5(y − 2) = 2y + 8. What is y?
  18. 18.A father is 6 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
  19. 19.The sum of two consecutive whole numbers is 113. What is the largest of them?
  20. 20.Solve: 3(n − 4) = n + 10. What is n?
  21. 21.A father is 18 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?
  22. 22.The length of a rectangle is 8 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
  23. 23.Solve: m/3 + m/6 = 21. What is m?
  24. 24.Solve: 4n + 4 = 2n + 32. What is n?
  25. 25.The sum of four consecutive whole numbers is 110. What is the largest of them?
  26. 26.Solve: m/6 + m/5 = 77. What is m?
  27. 27.The length of a rectangle is 3 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
  28. 28.Solve: p/2 + p/4 = 18. What is p?
  29. 29.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?
  30. 30.Solve: 4(n − 2) = 3n + 4. What is n?
  31. 31.A father is 12 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  32. 32.Solve: t/2 + t/5 = 42. What is t?
  33. 33.A father is 22 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
  34. 34.The length of a rectangle is 2 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
  35. 35.Solve: 5m + 15 = 4m + 22. What is m?
  36. 36.Solve: 8x + 2 = 4x + 42. What is x?
  37. 37.Solve: 3(m − 2) = m + 18. What is m?
  38. 38.Solve: x/2 + x/3 = 15. What is x?
  39. 39.The sum of three consecutive whole numbers is 78. What is the smallest of them?
  40. 40.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?

Answer key

  1. 1
  2. 15
  3. 24
  4. 8
  5. 12
  6. 14
  7. 2
  8. 25
  9. 12
  10. 4
  11. 23
  12. 60
  13. 8
  14. 14
  15. 3
  16. 4
  17. 6
  18. 2
  19. 57
  20. 11
  21. 3
  22. 25
  23. 42
  24. 14
  25. 29
  26. 210
  27. 28
  28. 24
  29. 9
  30. 12
  31. 8
  32. 60
  33. 10
  34. 7
  35. 7
  36. 10
  37. 12
  38. 18
  39. 25
  40. 6

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