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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 183 · 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.The sum of three consecutive whole numbers is 177. What is the largest of them?
  2. 2.The length of a rectangle is 8 cm more than its width. Its perimeter is 84 cm. What is its width (in cm)?
  3. 3.The length of a rectangle is 6 cm more than its width. Its perimeter is 24 cm. What is its width (in cm)?
  4. 4.The sum of two consecutive whole numbers is 89. What is the smallest of them?
  5. 5.The sum of four consecutive whole numbers is 66. What is the largest of them?
  6. 6.Solve: y/2 + y/5 = 7. What is y?
  7. 7.Solve: 3(t − 2) = t + 10. What is t?
  8. 8.A father is 39 years older than his son. In 4 years, the father will be four times as old as his son. How old is the son now?
  9. 9.The length of a rectangle is 10 cm more than its width. Its perimeter is 92 cm. What is its width (in cm)?
  10. 10.The sum of four consecutive whole numbers is 42. What is the smallest of them?
  11. 11.Solve: n/6 + n/5 = 22. What is n?
  12. 12.Solve: 4p + 12 = 2p + 34. What is p?
  13. 13.Solve: 7t + 6 = 2t + 11. What is t?
  14. 14.Solve: 3(n − 4) = n + 12. What is n?
  15. 15.A father is 16 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?
  16. 16.Solve: 3(y − 3) = y + 17. What is y?
  17. 17.Solve: m/4 + m/6 = 5. What is m?
  18. 18.Solve: 9x + 16 = 5x + 76. What is x?
  19. 19.Solve: 4m + 4 = m + 43. What is m?
  20. 20.The length of a rectangle is 14 cm more than its width. Its perimeter is 136 cm. What is its width (in cm)?
  21. 21.Solve: 5x + 4 = 4x + 15. What is x?
  22. 22.Solve: 5(y − 1) = 3y + 3. What is y?
  23. 23.Solve: 5y + 8 = 4y + 16. What is y?
  24. 24.Solve: 4y + 14 = 2y + 40. What is y?
  25. 25.Solve: x/5 + x/3 = 16. What is x?
  26. 26.A father is 10 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?
  27. 27.Solve: 4(m − 5) = m + 16. What is m?
  28. 28.Solve: p/6 + p/5 = 22. What is p?
  29. 29.The length of a rectangle is 2 cm more than its width. Its perimeter is 12 cm. What is its width (in cm)?
  30. 30.Solve: 6(t − 4) = 2t + 32. What is t?
  31. 31.The length of a rectangle is 15 cm more than its width. Its perimeter is 130 cm. What is its width (in cm)?
  32. 32.Solve: x/3 + x/6 = 18. What is x?
  33. 33.The length of a rectangle is 2 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
  34. 34.Solve: m/5 + m/6 = 44. What is m?
  35. 35.A father is 6 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?
  36. 36.Solve: 6(x − 5) = x + 25. What is x?
  37. 37.The sum of four consecutive whole numbers is 198. What is the smallest of them?
  38. 38.The sum of two consecutive whole numbers is 75. What is the smallest of them?
  39. 39.The sum of two consecutive whole numbers is 37. What is the largest of them?
  40. 40.Solve: 5(t − 3) = t + 5. What is t?

Answer key

  1. 60
  2. 17
  3. 3
  4. 44
  5. 18
  6. 10
  7. 8
  8. 9
  9. 18
  10. 9
  11. 60
  12. 11
  13. 1
  14. 12
  15. 7
  16. 13
  17. 12
  18. 15
  19. 13
  20. 27
  21. 11
  22. 4
  23. 8
  24. 13
  25. 30
  26. 4
  27. 12
  28. 60
  29. 2
  30. 14
  31. 25
  32. 36
  33. 21
  34. 120
  35. 2
  36. 11
  37. 48
  38. 37
  39. 19
  40. 5

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