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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 204 · 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: t/2 + t/3 = 10. What is t?
  2. 2.The length of a rectangle is 15 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
  3. 3.Solve: 6(n − 2) = 5n + 2. What is n?
  4. 4.Solve: 6(x − 4) = 5x + 7. What is x?
  5. 5.Solve: 5(p − 5) = 4p + 7. What is p?
  6. 6.The length of a rectangle is 12 cm more than its width. Its perimeter is 140 cm. What is its width (in cm)?
  7. 7.A father is 9 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  8. 8.The sum of two consecutive whole numbers is 89. What is the largest of them?
  9. 9.Solve: p/2 + p/6 = 12. What is p?
  10. 10.The sum of two consecutive whole numbers is 53. What is the smallest of them?
  11. 11.Solve: t/5 + t/2 = 7. What is t?
  12. 12.Solve: 4(y − 2) = y + 34. What is y?
  13. 13.The sum of two consecutive whole numbers is 111. What is the largest of them?
  14. 14.Solve: 6x + 12 = 5x + 25. What is x?
  15. 15.Solve: 5p + 15 = 2p + 54. What is p?
  16. 16.The sum of three consecutive whole numbers is 147. What is the smallest of them?
  17. 17.A father is 12 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  18. 18.Solve: 5(m − 2) = 3m + 6. What is m?
  19. 19.The length of a rectangle is 9 cm more than its width. Its perimeter is 134 cm. What is its width (in cm)?
  20. 20.Solve: 4(p − 3) = 2p + 8. What is p?
  21. 21.The length of a rectangle is 3 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
  22. 22.Solve: n/4 + n/2 = 24. What is n?
  23. 23.The sum of four consecutive whole numbers is 30. What is the smallest of them?
  24. 24.Solve: 3(x − 3) = x + 5. What is x?
  25. 25.A father is 32 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
  26. 26.The sum of three consecutive whole numbers is 171. What is the largest of them?
  27. 27.Solve: t/2 + t/6 = 32. What is t?
  28. 28.Solve: 4(p − 3) = 2p + 26. What is p?
  29. 29.The length of a rectangle is 9 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
  30. 30.Solve: x/2 + x/5 = 56. What is x?
  31. 31.Solve: 6t + 11 = 3t + 23. What is t?
  32. 32.Solve: 5n + 12 = n + 32. What is n?
  33. 33.Solve: 4(t − 5) = t + 22. What is t?
  34. 34.A father is 15 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
  35. 35.The length of a rectangle is 9 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
  36. 36.Solve: 7m + 3 = 4m + 27. What is m?
  37. 37.Solve: 6y + 7 = 5y + 11. What is y?
  38. 38.Solve: 5t + 4 = 3t + 6. What is t?
  39. 39.The sum of three consecutive whole numbers is 138. What is the largest of them?
  40. 40.Solve: t/5 + t/3 = 56. What is t?

Answer key

  1. 12
  2. 9
  3. 14
  4. 31
  5. 32
  6. 29
  7. 8
  8. 45
  9. 18
  10. 26
  11. 10
  12. 14
  13. 56
  14. 13
  15. 13
  16. 48
  17. 11
  18. 8
  19. 29
  20. 10
  21. 18
  22. 32
  23. 6
  24. 7
  25. 9
  26. 58
  27. 48
  28. 19
  29. 8
  30. 80
  31. 4
  32. 5
  33. 14
  34. 4
  35. 23
  36. 8
  37. 4
  38. 1
  39. 47
  40. 105

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