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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 254 · 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 four consecutive whole numbers is 150. What is the smallest of them?
  2. 2.Solve: n/6 + n/3 = 12. What is n?
  3. 3.Solve: y/6 + y/5 = 33. What is y?
  4. 4.The length of a rectangle is 8 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
  5. 5.The sum of four consecutive whole numbers is 230. What is the smallest of them?
  6. 6.Solve: m/4 + m/2 = 21. What is m?
  7. 7.The sum of four consecutive whole numbers is 154. What is the smallest of them?
  8. 8.Solve: n/2 + n/3 = 15. What is n?
  9. 9.The length of a rectangle is 8 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
  10. 10.Solve: y/4 + y/5 = 18. What is y?
  11. 11.Solve: 3(t − 1) = 2t + 13. What is t?
  12. 12.Solve: n/2 + n/4 = 15. What is n?
  13. 13.Solve: 8x + 5 = 2x + 59. What is x?
  14. 14.A father is 10 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  15. 15.Solve: 9y + 15 = 4y + 25. What is y?
  16. 16.A father is 32 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
  17. 17.The length of a rectangle is 15 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
  18. 18.Solve: 6(p − 3) = 3p + 3. What is p?
  19. 19.Solve: 4(y − 3) = 3y + 7. What is y?
  20. 20.Solve: 3y + 18 = y + 28. What is y?
  21. 21.Solve: n/3 + n/6 = 3. What is n?
  22. 22.Solve: 6(t − 4) = 3t + 36. What is t?
  23. 23.The sum of three consecutive whole numbers is 27. What is the largest of them?
  24. 24.Solve: 4(y − 2) = y + 19. What is y?
  25. 25.The length of a rectangle is 15 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
  26. 26.The length of a rectangle is 3 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
  27. 27.The length of a rectangle is 9 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
  28. 28.The sum of two consecutive whole numbers is 37. What is the largest of them?
  29. 29.The length of a rectangle is 2 cm more than its width. Its perimeter is 16 cm. What is its width (in cm)?
  30. 30.Solve: 3(t − 3) = 2t + 3. What is t?
  31. 31.Solve: 4(y − 5) = y + 31. What is y?
  32. 32.Solve: 3(p − 2) = p + 2. What is p?
  33. 33.A father is 12 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  34. 34.Solve: 4(x − 1) = x + 29. What is x?
  35. 35.The length of a rectangle is 15 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
  36. 36.A father is 20 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?
  37. 37.Solve: 4t + 10 = t + 37. What is t?
  38. 38.A father is 11 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  39. 39.The length of a rectangle is 15 cm more than its width. Its perimeter is 142 cm. What is its width (in cm)?
  40. 40.Solve: 4n + 2 = 3n + 15. What is n?

Answer key

  1. 36
  2. 24
  3. 90
  4. 13
  5. 56
  6. 28
  7. 37
  8. 18
  9. 16
  10. 40
  11. 16
  12. 20
  13. 9
  14. 4
  15. 2
  16. 8
  17. 13
  18. 7
  19. 19
  20. 5
  21. 6
  22. 20
  23. 10
  24. 9
  25. 2
  26. 18
  27. 12
  28. 19
  29. 3
  30. 12
  31. 17
  32. 4
  33. 10
  34. 11
  35. 21
  36. 7
  37. 9
  38. 9
  39. 28
  40. 13

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