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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 39 · 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: 4(n − 1) = n + 17. What is n?
  2. 2.A father is 9 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  3. 3.The sum of three consecutive whole numbers is 147. What is the smallest of them?
  4. 4.The sum of four consecutive whole numbers is 94. What is the largest of them?
  5. 5.Solve: t/2 + t/5 = 7. What is t?
  6. 6.Solve: 4(p − 5) = 2p + 26. What is p?
  7. 7.Solve: m/4 + m/6 = 15. What is m?
  8. 8.Solve: 5(n − 3) = n + 9. What is n?
  9. 9.The sum of two consecutive whole numbers is 27. What is the smallest of them?
  10. 10.Solve: y/6 + y/5 = 22. What is y?
  11. 11.Solve: 5(n − 1) = 4n + 2. What is n?
  12. 12.The sum of two consecutive whole numbers is 111. What is the smallest of them?
  13. 13.The sum of four consecutive whole numbers is 166. What is the largest of them?
  14. 14.Solve: 9y + 15 = 4y + 75. What is y?
  15. 15.A father is 22 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
  16. 16.A father is 11 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  17. 17.The sum of two consecutive whole numbers is 93. What is the smallest of them?
  18. 18.Solve: y/6 + y/2 = 8. What is y?
  19. 19.The sum of three consecutive whole numbers is 168. What is the smallest of them?
  20. 20.Solve: m/2 + m/4 = 21. What is m?
  21. 21.A father is 14 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?
  22. 22.The sum of two consecutive whole numbers is 99. What is the largest of them?
  23. 23.The length of a rectangle is 12 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
  24. 24.Solve: 5m + 17 = m + 25. What is m?
  25. 25.Solve: 7p + 9 = p + 33. What is p?
  26. 26.Solve: t/3 + t/5 = 8. What is t?
  27. 27.Solve: 7m + 3 = 2m + 63. What is m?
  28. 28.Solve: 4(p − 1) = 2p + 22. What is p?
  29. 29.Solve: 3(n − 2) = n + 12. What is n?
  30. 30.Solve: 3y + 2 = 2y + 5. What is y?
  31. 31.Solve: 6(m − 4) = 3m + 27. What is m?
  32. 32.Solve: x/4 + x/5 = 45. What is x?
  33. 33.Solve: 6p + 5 = 3p + 8. What is p?
  34. 34.A father is 45 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?
  35. 35.The sum of two consecutive whole numbers is 75. What is the largest of them?
  36. 36.The sum of three consecutive whole numbers is 165. What is the smallest of them?
  37. 37.Solve: 6(x − 3) = 4x + 14. What is x?
  38. 38.The length of a rectangle is 15 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
  39. 39.The length of a rectangle is 12 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
  40. 40.The sum of four consecutive whole numbers is 86. What is the largest of them?

Answer key

  1. 7
  2. 8
  3. 48
  4. 25
  5. 10
  6. 23
  7. 36
  8. 6
  9. 13
  10. 60
  11. 7
  12. 55
  13. 43
  14. 12
  15. 7
  16. 7
  17. 46
  18. 12
  19. 55
  20. 28
  21. 6
  22. 50
  23. 5
  24. 2
  25. 4
  26. 15
  27. 12
  28. 13
  29. 9
  30. 3
  31. 17
  32. 100
  33. 1
  34. 9
  35. 38
  36. 54
  37. 16
  38. 20
  39. 11
  40. 23

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