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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 521 · 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 60. What is the smallest of them?
  2. 2.Solve: 4(x − 1) = 2x + 6. What is x?
  3. 3.Solve: p/2 + p/5 = 21. What is p?
  4. 4.Solve: 4(x − 4) = x + 11. What is x?
  5. 5.The length of a rectangle is 7 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
  6. 6.A father is 10 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  7. 7.Solve: 5(m − 1) = 3m + 3. What is m?
  8. 8.Solve: x/6 + x/3 = 12. What is x?
  9. 9.Solve: y/5 + y/2 = 14. What is y?
  10. 10.The sum of four consecutive whole numbers is 98. What is the smallest of them?
  11. 11.Solve: 6m + 12 = 4m + 36. What is m?
  12. 12.Solve: p/3 + p/2 = 35. What is p?
  13. 13.The sum of two consecutive whole numbers is 89. What is the largest of them?
  14. 14.A father is 30 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
  15. 15.Solve: 5(p − 2) = p + 30. What is p?
  16. 16.Solve: 6t + 17 = 5t + 20. What is t?
  17. 17.The sum of three consecutive whole numbers is 42. What is the smallest of them?
  18. 18.The sum of four consecutive whole numbers is 30. What is the largest of them?
  19. 19.Solve: 6(y − 5) = 2y + 38. What is y?
  20. 20.The length of a rectangle is 6 cm more than its width. Its perimeter is 124 cm. What is its width (in cm)?
  21. 21.Solve: y/5 + y/2 = 56. What is y?
  22. 22.Solve: 6x + 8 = 3x + 26. What is x?
  23. 23.Solve: 3(p − 3) = 2p + 1. What is p?
  24. 24.A father is 18 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?
  25. 25.A father is 15 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  26. 26.Solve: 5(t − 1) = 2t + 13. What is t?
  27. 27.Solve: 4(m − 3) = 3m + 1. What is m?
  28. 28.Solve: 6(t − 1) = 4t + 16. What is t?
  29. 29.A father is 16 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/3 + y/5 = 64. What is y?
  31. 31.A father is 34 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?
  32. 32.The sum of four consecutive whole numbers is 70. What is the smallest of them?
  33. 33.Solve: 6(x − 5) = 3x + 9. What is x?
  34. 34.Solve: 7t + 3 = 3t + 7. What is t?
  35. 35.The length of a rectangle is 2 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
  36. 36.Solve: 3x + 4 = 2x + 9. What is x?
  37. 37.The length of a rectangle is 4 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
  38. 38.The length of a rectangle is 10 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
  39. 39.The length of a rectangle is 2 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
  40. 40.Solve: 6(p − 5) = 5p + 5. What is p?

Answer key

  1. 19
  2. 5
  3. 30
  4. 9
  5. 3
  6. 6
  7. 4
  8. 24
  9. 20
  10. 23
  11. 12
  12. 42
  13. 45
  14. 9
  15. 10
  16. 3
  17. 13
  18. 9
  19. 17
  20. 28
  21. 80
  22. 6
  23. 10
  24. 6
  25. 8
  26. 6
  27. 13
  28. 11
  29. 6
  30. 120
  31. 12
  32. 16
  33. 13
  34. 1
  35. 10
  36. 5
  37. 25
  38. 6
  39. 16
  40. 35

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