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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 64 · 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: 4m + 4 = m + 16. What is m?
  2. 2.A father is 18 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?
  3. 3.Solve: p/4 + p/2 = 9. What is p?
  4. 4.Solve: 5m + 18 = 2m + 54. What is m?
  5. 5.Solve: y/5 + y/4 = 18. What is y?
  6. 6.Solve: 8m + 7 = 3m + 57. What is m?
  7. 7.The length of a rectangle is 5 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
  8. 8.The sum of two consecutive whole numbers is 35. What is the largest of them?
  9. 9.The length of a rectangle is 14 cm more than its width. Its perimeter is 92 cm. What is its width (in cm)?
  10. 10.Solve: 3(n − 3) = 2n + 10. What is n?
  11. 11.Solve: 3(p − 4) = 2p + 1. What is p?
  12. 12.A father is 36 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?
  13. 13.Solve: 6(m − 1) = 3m + 27. What is m?
  14. 14.The sum of two consecutive whole numbers is 69. What is the largest of them?
  15. 15.The sum of four consecutive whole numbers is 114. What is the smallest of them?
  16. 16.Solve: x/2 + x/6 = 32. What is x?
  17. 17.Solve: 4(y − 2) = y + 25. What is y?
  18. 18.Solve: 3t + 14 = t + 36. What is t?
  19. 19.Solve: 4(y − 3) = y + 15. What is y?
  20. 20.Solve: 4(t − 4) = 3t + 1. What is t?
  21. 21.The sum of four consecutive whole numbers is 166. What is the largest of them?
  22. 22.Solve: 6(y − 5) = 5y + 3. What is y?
  23. 23.The length of a rectangle is 2 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
  24. 24.Solve: 6(n − 2) = 2n + 8. What is n?
  25. 25.The sum of two consecutive whole numbers is 99. What is the smallest of them?
  26. 26.Solve: 9m + 15 = 7m + 29. What is m?
  27. 27.Solve: x/3 + x/6 = 9. What is x?
  28. 28.The length of a rectangle is 6 cm more than its width. Its perimeter is 112 cm. What is its width (in cm)?
  29. 29.A father is 18 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
  30. 30.Solve: y/6 + y/2 = 24. What is y?
  31. 31.Solve: 9m + 19 = 5m + 47. What is m?
  32. 32.The length of a rectangle is 4 cm more than its width. Its perimeter is 16 cm. What is its width (in cm)?
  33. 33.The length of a rectangle is 12 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
  34. 34.Solve: 3(y − 2) = y + 12. What is y?
  35. 35.The length of a rectangle is 15 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
  36. 36.A father is 21 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?
  37. 37.Solve: p/2 + p/4 = 18. What is p?
  38. 38.Solve: 3y + 16 = y + 32. What is y?
  39. 39.Solve: n/5 + n/2 = 35. What is n?
  40. 40.Solve: 5(x − 3) = x + 33. What is x?

Answer key

  1. 4
  2. 4
  3. 12
  4. 12
  5. 40
  6. 10
  7. 25
  8. 18
  9. 16
  10. 19
  11. 13
  12. 11
  13. 11
  14. 35
  15. 27
  16. 48
  17. 11
  18. 11
  19. 9
  20. 17
  21. 43
  22. 33
  23. 7
  24. 5
  25. 49
  26. 7
  27. 18
  28. 25
  29. 7
  30. 36
  31. 7
  32. 2
  33. 11
  34. 9
  35. 8
  36. 3
  37. 24
  38. 8
  39. 50
  40. 12

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