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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 983 · 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: x/3 + x/6 = 18. What is x?
  2. 2.The length of a rectangle is 13 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
  3. 3.The sum of four consecutive whole numbers is 206. What is the largest of them?
  4. 4.The length of a rectangle is 14 cm more than its width. Its perimeter is 92 cm. What is its width (in cm)?
  5. 5.Solve: 4(p − 1) = p + 35. What is p?
  6. 6.The sum of two consecutive whole numbers is 47. What is the smallest of them?
  7. 7.The sum of three consecutive whole numbers is 126. What is the smallest of them?
  8. 8.Solve: 6y + 4 = 4y + 22. What is y?
  9. 9.Solve: 4(t − 4) = 3t + 5. What is t?
  10. 10.A father is 26 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
  11. 11.Solve: 3n + 18 = n + 46. What is n?
  12. 12.Solve: 7n + 13 = 6n + 15. What is n?
  13. 13.Solve: 9n + 13 = 5n + 49. What is n?
  14. 14.Solve: 9p + 12 = 2p + 19. What is p?
  15. 15.Solve: 5n + 7 = 2n + 13. What is n?
  16. 16.The sum of three consecutive whole numbers is 168. What is the smallest of them?
  17. 17.Solve: 3x + 8 = x + 28. What is x?
  18. 18.Solve: 3(p − 2) = p + 24. What is p?
  19. 19.The length of a rectangle is 11 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
  20. 20.A father is 26 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
  21. 21.A father is 34 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
  22. 22.The length of a rectangle is 1 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
  23. 23.Solve: 5t + 9 = t + 13. What is t?
  24. 24.The sum of three consecutive whole numbers is 126. What is the largest of them?
  25. 25.A father is 18 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?
  26. 26.Solve: 5t + 13 = 4t + 24. What is t?
  27. 27.Solve: 3p + 19 = 2p + 21. What is p?
  28. 28.The length of a rectangle is 6 cm more than its width. Its perimeter is 76 cm. What is its width (in cm)?
  29. 29.Solve: m/5 + m/3 = 64. What is m?
  30. 30.The sum of two consecutive whole numbers is 35. What is the smallest of them?
  31. 31.Solve: m/3 + m/6 = 3. What is m?
  32. 32.Solve: 5n + 9 = 3n + 19. What is n?
  33. 33.Solve: 9n + 16 = 8n + 22. What is n?
  34. 34.Solve: 4(m − 3) = m + 18. What is m?
  35. 35.A father is 20 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?
  36. 36.The length of a rectangle is 8 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
  37. 37.Solve: 4(p − 4) = p + 8. What is p?
  38. 38.The length of a rectangle is 9 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
  39. 39.Solve: 6(m − 5) = m + 40. What is m?
  40. 40.Solve: 6(m − 1) = 5m + 6. What is m?

Answer key

  1. 36
  2. 7
  3. 53
  4. 16
  5. 13
  6. 23
  7. 41
  8. 9
  9. 21
  10. 10
  11. 14
  12. 2
  13. 9
  14. 1
  15. 2
  16. 55
  17. 10
  18. 15
  19. 8
  20. 8
  21. 12
  22. 6
  23. 1
  24. 43
  25. 4
  26. 11
  27. 2
  28. 16
  29. 120
  30. 17
  31. 6
  32. 5
  33. 6
  34. 10
  35. 6
  36. 13
  37. 8
  38. 2
  39. 14
  40. 12

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