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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 154 · 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/5 = 27. What is x?
  2. 2.Solve: 5(p − 4) = 3p + 16. What is p?
  3. 3.The sum of three consecutive whole numbers is 99. What is the largest of them?
  4. 4.Solve: 8n + 10 = 6n + 18. What is n?
  5. 5.Solve: 6(t − 3) = t + 62. What is t?
  6. 6.Solve: t/6 + t/2 = 12. What is t?
  7. 7.Solve: y/4 + y/2 = 18. What is y?
  8. 8.The sum of four consecutive whole numbers is 134. What is the largest of them?
  9. 9.Solve: 3(x − 5) = 2x + 6. What is x?
  10. 10.Solve: 9x + 16 = 2x + 72. What is x?
  11. 11.Solve: t/4 + t/2 = 6. What is t?
  12. 12.Solve: x/2 + x/4 = 3. What is x?
  13. 13.Solve: 5(t − 1) = 3t + 11. What is t?
  14. 14.The sum of four consecutive whole numbers is 94. What is the smallest of them?
  15. 15.Solve: 9p + 7 = 4p + 17. What is p?
  16. 16.The length of a rectangle is 2 cm more than its width. Its perimeter is 64 cm. What is its width (in cm)?
  17. 17.The length of a rectangle is 6 cm more than its width. Its perimeter is 84 cm. What is its width (in cm)?
  18. 18.A father is 18 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.A father is 8 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.The length of a rectangle is 2 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
  21. 21.A father is 5 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  22. 22.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?
  23. 23.Solve: x/4 + x/2 = 9. What is x?
  24. 24.The sum of two consecutive whole numbers is 109. What is the smallest of them?
  25. 25.The length of a rectangle is 4 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
  26. 26.Solve: 5(m − 2) = m + 18. What is m?
  27. 27.Solve: 5(n − 3) = 2n + 24. What is n?
  28. 28.Solve: 3y + 3 = y + 27. What is y?
  29. 29.The sum of two consecutive whole numbers is 63. What is the smallest of them?
  30. 30.Solve: p/3 + p/2 = 35. What is p?
  31. 31.The sum of four consecutive whole numbers is 210. What is the largest of them?
  32. 32.A father is 39 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?
  33. 33.Solve: y/6 + y/5 = 22. What is y?
  34. 34.The sum of four consecutive whole numbers is 90. What is the smallest of them?
  35. 35.Solve: 8p + 4 = 6p + 10. What is p?
  36. 36.Solve: 3(y − 4) = y + 12. What is y?
  37. 37.Solve: t/5 + t/3 = 48. What is t?
  38. 38.The length of a rectangle is 5 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
  39. 39.Solve: 3(p − 2) = 2p + 13. What is p?
  40. 40.A father is 34 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?

Answer key

  1. 60
  2. 18
  3. 34
  4. 4
  5. 16
  6. 18
  7. 24
  8. 35
  9. 21
  10. 8
  11. 8
  12. 4
  13. 8
  14. 22
  15. 2
  16. 15
  17. 18
  18. 7
  19. 3
  20. 16
  21. 4
  22. 12
  23. 12
  24. 54
  25. 18
  26. 7
  27. 13
  28. 12
  29. 31
  30. 42
  31. 54
  32. 6
  33. 60
  34. 21
  35. 3
  36. 12
  37. 90
  38. 25
  39. 19
  40. 9

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