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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 134 · 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: x/4 + x/6 = 25. What is x?
  2. 2.Solve: 6(x − 2) = x + 8. What is x?
  3. 3.Solve: 3(m − 1) = 2m + 1. What is m?
  4. 4.A father is 10 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  5. 5.Solve: y/4 + y/5 = 72. What is y?
  6. 6.Solve: 4p + 18 = p + 45. What is p?
  7. 7.Solve: y/3 + y/2 = 5. What is y?
  8. 8.The length of a rectangle is 8 cm more than its width. Its perimeter is 136 cm. What is its width (in cm)?
  9. 9.A father is 51 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?
  10. 10.The sum of four consecutive whole numbers is 198. What is the smallest of them?
  11. 11.Solve: 3(m − 4) = 2m + 7. What is m?
  12. 12.Solve: y/2 + y/4 = 12. What is y?
  13. 13.A father is 26 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?
  14. 14.A father is 48 years older than his son. In 4 years, the father will be four times as old as his son. How old is the son now?
  15. 15.Solve: x/2 + x/3 = 35. What is x?
  16. 16.The length of a rectangle is 2 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
  17. 17.Solve: 3y + 1 = 2y + 2. What is y?
  18. 18.Solve: 3y + 14 = y + 28. What is y?
  19. 19.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?
  20. 20.Solve: 5t + 10 = 3t + 28. What is t?
  21. 21.The length of a rectangle is 2 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
  22. 22.Solve: 5(t − 2) = 2t + 11. What is t?
  23. 23.The sum of three consecutive whole numbers is 21. What is the largest of them?
  24. 24.Solve: y/3 + y/6 = 15. What is y?
  25. 25.Solve: p/5 + p/2 = 7. What is p?
  26. 26.Solve: t/4 + t/2 = 18. What is t?
  27. 27.The length of a rectangle is 2 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
  28. 28.Solve: 7n + 12 = 3n + 44. What is n?
  29. 29.Solve: y/6 + y/3 = 18. What is y?
  30. 30.Solve: t/3 + t/4 = 14. What is t?
  31. 31.The length of a rectangle is 5 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
  32. 32.Solve: 5(n − 2) = 2n + 11. What is n?
  33. 33.The length of a rectangle is 9 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
  34. 34.A father is 10 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  35. 35.Solve: 3(m − 4) = m + 2. What is m?
  36. 36.The sum of four consecutive whole numbers is 42. What is the largest of them?
  37. 37.Solve: 4(y − 2) = 2y + 18. What is y?
  38. 38.A father is 30 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?
  39. 39.Solve: y/4 + y/5 = 9. What is y?
  40. 40.The sum of two consecutive whole numbers is 13. What is the largest of them?

Answer key

  1. 60
  2. 4
  3. 4
  4. 7
  5. 160
  6. 9
  7. 6
  8. 30
  9. 12
  10. 48
  11. 19
  12. 16
  13. 12
  14. 12
  15. 42
  16. 21
  17. 1
  18. 7
  19. 12
  20. 9
  21. 26
  22. 7
  23. 8
  24. 30
  25. 10
  26. 24
  27. 19
  28. 8
  29. 36
  30. 24
  31. 5
  32. 7
  33. 4
  34. 5
  35. 7
  36. 12
  37. 13
  38. 8
  39. 20
  40. 7

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