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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 650 · 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 102. What is the smallest of them?
  2. 2.Solve: 6(y − 2) = 5y + 9. What is y?
  3. 3.Solve: 5y + 7 = 4y + 22. What is y?
  4. 4.The sum of four consecutive whole numbers is 26. What is the largest of them?
  5. 5.The sum of three consecutive whole numbers is 81. What is the largest of them?
  6. 6.The length of a rectangle is 10 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
  7. 7.The sum of two consecutive whole numbers is 35. What is the smallest of them?
  8. 8.Solve: n/6 + n/3 = 6. What is n?
  9. 9.Solve: t/4 + t/2 = 21. What is t?
  10. 10.The sum of four consecutive whole numbers is 122. What is the largest of them?
  11. 11.The length of a rectangle is 1 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
  12. 12.The sum of four consecutive whole numbers is 154. What is the largest of them?
  13. 13.Solve: m/6 + m/5 = 11. What is m?
  14. 14.Solve: p/4 + p/5 = 63. What is p?
  15. 15.Solve: 3(y − 1) = 2y + 8. What is y?
  16. 16.Solve: 6(p − 5) = p + 20. What is p?
  17. 17.Solve: t/2 + t/5 = 14. What is t?
  18. 18.The sum of two consecutive whole numbers is 47. What is the smallest of them?
  19. 19.Solve: 7x + 5 = 5x + 13. What is x?
  20. 20.The sum of three consecutive whole numbers is 126. What is the largest of them?
  21. 21.The sum of four consecutive whole numbers is 190. What is the smallest of them?
  22. 22.Solve: 7t + 14 = 3t + 26. What is t?
  23. 23.A father is 14 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?
  24. 24.Solve: 5t + 2 = 2t + 20. What is t?
  25. 25.The length of a rectangle is 4 cm more than its width. Its perimeter is 16 cm. What is its width (in cm)?
  26. 26.Solve: y/2 + y/4 = 9. What is y?
  27. 27.A father is 6 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  28. 28.The length of a rectangle is 7 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
  29. 29.The length of a rectangle is 12 cm more than its width. Its perimeter is 136 cm. What is its width (in cm)?
  30. 30.The length of a rectangle is 9 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
  31. 31.The sum of three consecutive whole numbers is 135. What is the largest of them?
  32. 32.A father is 11 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  33. 33.Solve: 6x + 1 = x + 6. What is x?
  34. 34.Solve: 7n + 5 = n + 59. What is n?
  35. 35.The length of a rectangle is 12 cm more than its width. Its perimeter is 120 cm. What is its width (in cm)?
  36. 36.Solve: 4p + 14 = 2p + 22. What is p?
  37. 37.The sum of two consecutive whole numbers is 33. What is the smallest of them?
  38. 38.The length of a rectangle is 1 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
  39. 39.A father is 33 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?
  40. 40.The sum of three consecutive whole numbers is 48. What is the largest of them?

Answer key

  1. 33
  2. 21
  3. 15
  4. 8
  5. 28
  6. 17
  7. 17
  8. 12
  9. 28
  10. 32
  11. 15
  12. 40
  13. 30
  14. 140
  15. 11
  16. 10
  17. 20
  18. 23
  19. 4
  20. 43
  21. 46
  22. 3
  23. 4
  24. 6
  25. 2
  26. 12
  27. 3
  28. 3
  29. 28
  30. 4
  31. 46
  32. 5
  33. 1
  34. 9
  35. 24
  36. 4
  37. 16
  38. 12
  39. 3
  40. 17

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