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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 766 · 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.A father is 11 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  2. 2.Solve: 3(p − 5) = p + 13. What is p?
  3. 3.Solve: p/3 + p/2 = 20. What is p?
  4. 4.The sum of four consecutive whole numbers is 82. What is the smallest of them?
  5. 5.Solve: m/3 + m/4 = 49. What is m?
  6. 6.The sum of three consecutive whole numbers is 45. What is the largest of them?
  7. 7.A father is 34 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?
  8. 8.The sum of four consecutive whole numbers is 90. What is the largest of them?
  9. 9.Solve: 6(m − 3) = m + 22. What is m?
  10. 10.Solve: 4(t − 3) = t + 6. What is t?
  11. 11.Solve: 7m + 10 = 2m + 20. What is m?
  12. 12.The sum of three consecutive whole numbers is 138. What is the smallest of them?
  13. 13.Solve: 6x + 2 = 3x + 11. What is x?
  14. 14.Solve: 3(t − 1) = 2t + 2. What is t?
  15. 15.Solve: 4y + 20 = 2y + 46. What is y?
  16. 16.Solve: x/5 + x/4 = 9. What is x?
  17. 17.The sum of four consecutive whole numbers is 58. What is the largest of them?
  18. 18.The sum of three consecutive whole numbers is 21. What is the smallest of them?
  19. 19.Solve: 3(p − 4) = 2p + 13. What is p?
  20. 20.A father is 30 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: 3(t − 3) = t + 19. What is t?
  22. 22.Solve: 6(p − 5) = 5p + 8. What is p?
  23. 23.The length of a rectangle is 13 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
  24. 24.Solve: 9t + 5 = 2t + 26. What is t?
  25. 25.The length of a rectangle is 12 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
  26. 26.The length of a rectangle is 12 cm more than its width. Its perimeter is 124 cm. What is its width (in cm)?
  27. 27.A father is 15 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  28. 28.Solve: 4t + 3 = t + 9. What is t?
  29. 29.Solve: 6y + 2 = 2y + 30. What is y?
  30. 30.The sum of four consecutive whole numbers is 158. What is the smallest of them?
  31. 31.Solve: 6(t − 2) = t + 28. What is t?
  32. 32.Solve: 6(t − 3) = 5t + 9. What is t?
  33. 33.Solve: 5(n − 5) = 2n + 23. What is n?
  34. 34.Solve: 8m + 2 = 2m + 44. What is m?
  35. 35.Solve: x/3 + x/6 = 15. What is x?
  36. 36.The length of a rectangle is 7 cm more than its width. Its perimeter is 22 cm. What is its width (in cm)?
  37. 37.The sum of three consecutive whole numbers is 159. What is the smallest of them?
  38. 38.The length of a rectangle is 3 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
  39. 39.Solve: 4(m − 5) = m + 22. What is m?
  40. 40.A father is 39 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?

Answer key

  1. 4
  2. 14
  3. 24
  4. 19
  5. 84
  6. 16
  7. 11
  8. 24
  9. 8
  10. 6
  11. 2
  12. 45
  13. 3
  14. 5
  15. 13
  16. 20
  17. 16
  18. 6
  19. 25
  20. 4
  21. 14
  22. 38
  23. 2
  24. 3
  25. 21
  26. 25
  27. 12
  28. 2
  29. 7
  30. 38
  31. 8
  32. 27
  33. 16
  34. 7
  35. 30
  36. 2
  37. 52
  38. 15
  39. 14
  40. 11

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