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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 488 · 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 102. What is the largest of them?
  2. 2.Solve: n/3 + n/5 = 8. What is n?
  3. 3.The sum of four consecutive whole numbers is 106. What is the largest of them?
  4. 4.The sum of three consecutive whole numbers is 93. What is the smallest of them?
  5. 5.Solve: m/2 + m/3 = 40. What is m?
  6. 6.Solve: 8t + 14 = 2t + 32. What is t?
  7. 7.Solve: 5(m − 3) = 4m + 10. What is m?
  8. 8.The sum of two consecutive whole numbers is 79. What is the smallest of them?
  9. 9.Solve: p/5 + p/4 = 36. What is p?
  10. 10.Solve: 9x + 3 = 4x + 68. What is x?
  11. 11.A father is 9 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  12. 12.Solve: 6(y − 2) = 2y + 32. What is y?
  13. 13.Solve: y/5 + y/2 = 35. What is y?
  14. 14.Solve: 3(t − 2) = 2t + 12. What is t?
  15. 15.Solve: 3(n − 1) = n + 13. What is n?
  16. 16.The length of a rectangle is 1 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
  17. 17.Solve: 4(t − 2) = 2t + 8. What is t?
  18. 18.Solve: 4(m − 5) = 3m + 4. What is m?
  19. 19.The sum of three consecutive whole numbers is 162. What is the largest of them?
  20. 20.A father is 42 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?
  21. 21.Solve: 4(y − 5) = y + 22. What is y?
  22. 22.The sum of four consecutive whole numbers is 150. What is the largest of them?
  23. 23.A father is 7 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  24. 24.Solve: t/3 + t/6 = 21. What is t?
  25. 25.A father is 33 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?
  26. 26.The sum of four consecutive whole numbers is 130. What is the largest of them?
  27. 27.A father is 13 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  28. 28.Solve: n/6 + n/3 = 18. What is n?
  29. 29.Solve: 7n + 8 = n + 80. What is n?
  30. 30.Solve: 4(x − 4) = 2x + 16. What is x?
  31. 31.A father is 15 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?
  32. 32.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?
  33. 33.Solve: p/4 + p/5 = 45. What is p?
  34. 34.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?
  35. 35.A father is 45 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?
  36. 36.Solve: 5m + 19 = 4m + 29. What is m?
  37. 37.Solve: t/2 + t/4 = 6. What is t?
  38. 38.A father is 22 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.The length of a rectangle is 4 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
  40. 40.Solve: t/5 + t/3 = 32. What is t?

Answer key

  1. 35
  2. 15
  3. 28
  4. 30
  5. 48
  6. 3
  7. 25
  8. 39
  9. 80
  10. 13
  11. 4
  12. 11
  13. 50
  14. 18
  15. 8
  16. 22
  17. 8
  18. 24
  19. 55
  20. 8
  21. 14
  22. 39
  23. 4
  24. 42
  25. 3
  26. 34
  27. 9
  28. 36
  29. 12
  30. 16
  31. 3
  32. 8
  33. 100
  34. 12
  35. 7
  36. 10
  37. 8
  38. 4
  39. 22
  40. 60

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