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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 785 · 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(x − 5) = 2x + 10. What is x?
  2. 2.Solve: y/2 + y/6 = 32. What is y?
  3. 3.The sum of three consecutive whole numbers is 132. What is the smallest of them?
  4. 4.Solve: 5y + 6 = y + 42. What is y?
  5. 5.Solve: 5(y − 2) = 3y + 24. What is y?
  6. 6.A father is 30 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?
  7. 7.Solve: x/2 + x/6 = 4. What is x?
  8. 8.The sum of two consecutive whole numbers is 117. What is the smallest of them?
  9. 9.Solve: 9m + 13 = 6m + 43. What is m?
  10. 10.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?
  11. 11.Solve: 5(p − 2) = p + 2. What is p?
  12. 12.The sum of two consecutive whole numbers is 27. What is the smallest of them?
  13. 13.The sum of four consecutive whole numbers is 110. What is the largest of them?
  14. 14.Solve: 6(t − 4) = 4t + 16. What is t?
  15. 15.Solve: 3(p − 2) = 2p + 10. What is p?
  16. 16.Solve: 8x + 5 = x + 103. What is x?
  17. 17.Solve: 3n + 5 = n + 15. What is n?
  18. 18.Solve: 4p + 16 = 2p + 28. What is p?
  19. 19.The sum of four consecutive whole numbers is 126. What is the smallest of them?
  20. 20.Solve: 7t + 20 = t + 44. What is t?
  21. 21.Solve: 3(t − 2) = t + 14. What is t?
  22. 22.Solve: 3(t − 4) = 2t + 4. What is t?
  23. 23.Solve: x/2 + x/4 = 6. What is x?
  24. 24.A father is 48 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?
  25. 25.Solve: 4(m − 1) = m + 26. What is m?
  26. 26.The sum of four consecutive whole numbers is 186. What is the largest of them?
  27. 27.The sum of four consecutive whole numbers is 38. What is the smallest of them?
  28. 28.The length of a rectangle is 12 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
  29. 29.Solve: y/3 + y/5 = 56. What is y?
  30. 30.The sum of two consecutive whole numbers is 81. What is the smallest of them?
  31. 31.Solve: x/2 + x/3 = 10. What is x?
  32. 32.Solve: 3(y − 4) = y + 6. What is y?
  33. 33.Solve: 4t + 13 = t + 25. What is t?
  34. 34.The sum of two consecutive whole numbers is 13. What is the largest of them?
  35. 35.Solve: 4(y − 3) = 2y + 20. What is y?
  36. 36.Solve: 3n + 1 = n + 5. What is n?
  37. 37.Solve: 5p + 16 = 4p + 23. What is p?
  38. 38.Solve: 6(m − 1) = 4m + 18. What is m?
  39. 39.Solve: t/3 + t/5 = 16. What is t?
  40. 40.The sum of two consecutive whole numbers is 47. What is the smallest of them?

Answer key

  1. 15
  2. 48
  3. 43
  4. 9
  5. 17
  6. 9
  7. 6
  8. 58
  9. 10
  10. 7
  11. 3
  12. 13
  13. 29
  14. 20
  15. 16
  16. 14
  17. 5
  18. 6
  19. 30
  20. 4
  21. 10
  22. 16
  23. 8
  24. 10
  25. 10
  26. 48
  27. 8
  28. 9
  29. 105
  30. 40
  31. 12
  32. 9
  33. 4
  34. 7
  35. 16
  36. 2
  37. 7
  38. 12
  39. 30
  40. 23

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