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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 655 · 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: 6(m − 4) = 5m + 10. What is m?
  2. 2.Solve: 4(p − 1) = 3p + 2. What is p?
  3. 3.Solve: 6(t − 3) = 2t + 2. What is t?
  4. 4.Solve: 3(t − 3) = t + 3. What is t?
  5. 5.The length of a rectangle is 7 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
  6. 6.Solve: 6(m − 5) = 4m + 8. What is m?
  7. 7.Solve: 4y + 1 = 3y + 16. What is y?
  8. 8.The length of a rectangle is 12 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
  9. 9.Solve: x/3 + x/5 = 32. What is x?
  10. 10.The length of a rectangle is 12 cm more than its width. Its perimeter is 120 cm. What is its width (in cm)?
  11. 11.Solve: 4(y − 4) = 3y + 4. What is y?
  12. 12.The sum of four consecutive whole numbers is 130. What is the smallest of them?
  13. 13.A father is 32 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?
  14. 14.Solve: m/4 + m/2 = 3. What is m?
  15. 15.Solve: 7x + 15 = x + 87. What is x?
  16. 16.Solve: 6(y − 1) = 4y + 10. What is y?
  17. 17.A father is 14 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?
  18. 18.Solve: 4n + 3 = n + 30. What is n?
  19. 19.The sum of two consecutive whole numbers is 55. What is the largest of them?
  20. 20.A father is 7 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  21. 21.Solve: m/4 + m/2 = 15. What is m?
  22. 22.Solve: 5(x − 5) = 4x + 7. What is x?
  23. 23.The length of a rectangle is 5 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
  24. 24.Solve: x/2 + x/6 = 20. What is x?
  25. 25.Solve: 4(n − 4) = 2n + 18. What is n?
  26. 26.Solve: 8m + 17 = 7m + 27. What is m?
  27. 27.The length of a rectangle is 12 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
  28. 28.A father is 42 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?
  29. 29.Solve: 4(x − 4) = 2x + 26. What is x?
  30. 30.Solve: x/5 + x/4 = 72. What is x?
  31. 31.Solve: 4(m − 1) = 2m + 18. What is m?
  32. 32.Solve: 7y + 4 = 3y + 28. What is y?
  33. 33.Solve: 6n + 10 = 2n + 26. What is n?
  34. 34.Solve: 6(t − 2) = 2t + 20. What is t?
  35. 35.Solve: 3(p − 5) = 2p + 1. What is p?
  36. 36.Solve: 5n + 14 = 2n + 47. What is n?
  37. 37.Solve: 4(m − 3) = 3m + 13. What is m?
  38. 38.The sum of three consecutive whole numbers is 162. What is the largest of them?
  39. 39.Solve: 4(p − 1) = p + 23. What is p?
  40. 40.The length of a rectangle is 7 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?

Answer key

  1. 34
  2. 6
  3. 5
  4. 6
  5. 11
  6. 19
  7. 15
  8. 7
  9. 60
  10. 24
  11. 20
  12. 31
  13. 11
  14. 4
  15. 12
  16. 8
  17. 5
  18. 9
  19. 28
  20. 4
  21. 20
  22. 32
  23. 10
  24. 30
  25. 17
  26. 10
  27. 21
  28. 6
  29. 21
  30. 160
  31. 11
  32. 6
  33. 4
  34. 8
  35. 16
  36. 11
  37. 25
  38. 55
  39. 9
  40. 20

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