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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 698 · 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: 7y + 6 = 6y + 17. What is y?
  2. 2.Solve: t/3 + t/2 = 5. What is t?
  3. 3.Solve: x/4 + x/5 = 54. What is x?
  4. 4.The sum of three consecutive whole numbers is 39. What is the largest of them?
  5. 5.Solve: 4m + 18 = 3m + 28. What is m?
  6. 6.Solve: 7y + 10 = 3y + 18. What is y?
  7. 7.Solve: x/2 + x/3 = 10. What is x?
  8. 8.The sum of three consecutive whole numbers is 63. What is the largest of them?
  9. 9.Solve: 9p + 4 = 2p + 95. What is p?
  10. 10.Solve: t/4 + t/2 = 9. What is t?
  11. 11.A father is 20 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?
  12. 12.A father is 18 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?
  13. 13.Solve: 5(x − 5) = 3x + 3. What is x?
  14. 14.The length of a rectangle is 13 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
  15. 15.The length of a rectangle is 10 cm more than its width. Its perimeter is 112 cm. What is its width (in cm)?
  16. 16.Solve: 3t + 15 = 2t + 17. What is t?
  17. 17.Solve: 5m + 7 = 3m + 27. What is m?
  18. 18.The sum of two consecutive whole numbers is 41. What is the smallest of them?
  19. 19.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?
  20. 20.Solve: 3(n − 4) = 2n + 2. What is n?
  21. 21.The sum of three consecutive whole numbers is 138. What is the largest of them?
  22. 22.The sum of four consecutive whole numbers is 98. What is the smallest of them?
  23. 23.A father is 14 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  24. 24.The sum of four consecutive whole numbers is 146. What is the smallest of them?
  25. 25.Solve: y/2 + y/4 = 12. What is y?
  26. 26.Solve: n/2 + n/6 = 32. What is n?
  27. 27.Solve: y/4 + y/2 = 12. What is y?
  28. 28.The sum of three consecutive whole numbers is 36. What is the largest of them?
  29. 29.The sum of two consecutive whole numbers is 83. What is the largest of them?
  30. 30.Solve: 6(m − 2) = m + 43. What is m?
  31. 31.The sum of four consecutive whole numbers is 114. What is the smallest of them?
  32. 32.The length of a rectangle is 12 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
  33. 33.Solve: 9y + 5 = 2y + 33. What is y?
  34. 34.Solve: m/3 + m/6 = 3. What is m?
  35. 35.Solve: 6x + 2 = 2x + 10. What is x?
  36. 36.Solve: 5m + 14 = 3m + 44. What is m?
  37. 37.Solve: 6x + 3 = 4x + 7. What is x?
  38. 38.Solve: p/6 + p/4 = 40. What is p?
  39. 39.Solve: 3t + 11 = 2t + 16. What is t?
  40. 40.A father is 36 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?

Answer key

  1. 11
  2. 6
  3. 120
  4. 14
  5. 10
  6. 2
  7. 12
  8. 22
  9. 13
  10. 12
  11. 4
  12. 5
  13. 14
  14. 9
  15. 23
  16. 2
  17. 10
  18. 20
  19. 7
  20. 14
  21. 47
  22. 23
  23. 8
  24. 35
  25. 16
  26. 48
  27. 16
  28. 13
  29. 42
  30. 11
  31. 27
  32. 23
  33. 4
  34. 6
  35. 2
  36. 15
  37. 2
  38. 96
  39. 5
  40. 4

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