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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 667 · 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: y/4 + y/3 = 35. What is y?
  2. 2.The sum of three consecutive whole numbers is 135. What is the smallest of them?
  3. 3.Solve: 4t + 5 = t + 35. What is t?
  4. 4.Solve: 5(y − 2) = y + 26. What is y?
  5. 5.Solve: 7x + 13 = 2x + 68. What is x?
  6. 6.The sum of three consecutive whole numbers is 36. What is the smallest of them?
  7. 7.The length of a rectangle is 14 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
  8. 8.Solve: 5y + 11 = y + 19. What is y?
  9. 9.Solve: 5(x − 1) = x + 11. What is x?
  10. 10.A father is 16 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  11. 11.The sum of two consecutive whole numbers is 99. What is the smallest of them?
  12. 12.Solve: 5(t − 2) = t + 2. What is t?
  13. 13.Solve: n/2 + n/5 = 7. What is n?
  14. 14.Solve: 4(y − 2) = y + 10. What is y?
  15. 15.Solve: x/4 + x/5 = 18. What is x?
  16. 16.Solve: 9m + 15 = 8m + 29. What is m?
  17. 17.A father is 27 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
  18. 18.The length of a rectangle is 14 cm more than its width. Its perimeter is 36 cm. What is its width (in cm)?
  19. 19.A father is 9 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  20. 20.The length of a rectangle is 15 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
  21. 21.Solve: x/4 + x/3 = 35. What is x?
  22. 22.Solve: n/2 + n/4 = 21. What is n?
  23. 23.Solve: 9t + 3 = 8t + 17. What is t?
  24. 24.Solve: 3(y − 4) = 2y + 6. What is y?
  25. 25.The length of a rectangle is 11 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
  26. 26.Solve: x/4 + x/6 = 5. What is x?
  27. 27.The length of a rectangle is 1 cm more than its width. Its perimeter is 10 cm. What is its width (in cm)?
  28. 28.Solve: 6(p − 3) = 3p + 24. What is p?
  29. 29.Solve: 5n + 6 = n + 38. What is n?
  30. 30.Solve: 3p + 17 = p + 23. What is p?
  31. 31.Solve: m/6 + m/3 = 15. What is m?
  32. 32.A father is 17 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  33. 33.Solve: 6(m − 3) = 2m + 22. What is m?
  34. 34.Solve: 8y + 6 = 5y + 18. What is y?
  35. 35.A father is 20 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  36. 36.A father is 24 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?
  37. 37.Solve: y/3 + y/2 = 40. What is y?
  38. 38.The length of a rectangle is 3 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
  39. 39.Solve: 6(t − 1) = 4t + 14. What is t?
  40. 40.Solve: 3x + 15 = 2x + 30. What is x?

Answer key

  1. 60
  2. 44
  3. 10
  4. 9
  5. 11
  6. 11
  7. 4
  8. 2
  9. 4
  10. 8
  11. 49
  12. 3
  13. 10
  14. 6
  15. 40
  16. 14
  17. 4
  18. 2
  19. 3
  20. 22
  21. 60
  22. 28
  23. 14
  24. 18
  25. 13
  26. 12
  27. 2
  28. 14
  29. 8
  30. 3
  31. 30
  32. 12
  33. 10
  34. 4
  35. 12
  36. 4
  37. 48
  38. 20
  39. 10
  40. 15

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