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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 151 · 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: t/5 + t/4 = 63. What is t?
  2. 2.The length of a rectangle is 8 cm more than its width. Its perimeter is 28 cm. What is its width (in cm)?
  3. 3.Solve: 4(p − 5) = 2p + 6. What is p?
  4. 4.The sum of two consecutive whole numbers is 23. What is the largest of them?
  5. 5.Solve: 3x + 5 = x + 19. What is x?
  6. 6.Solve: 4m + 4 = 2m + 16. What is m?
  7. 7.The sum of three consecutive whole numbers is 45. What is the smallest of them?
  8. 8.Solve: n/2 + n/4 = 12. What is n?
  9. 9.Solve: 4y + 5 = y + 14. What is y?
  10. 10.Solve: 4(t − 1) = 3t + 2. What is t?
  11. 11.A father is 36 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?
  12. 12.The length of a rectangle is 12 cm more than its width. Its perimeter is 132 cm. What is its width (in cm)?
  13. 13.The sum of four consecutive whole numbers is 102. What is the largest of them?
  14. 14.A father is 14 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  15. 15.The sum of four consecutive whole numbers is 106. What is the smallest of them?
  16. 16.Solve: 9y + 2 = 3y + 56. What is y?
  17. 17.Solve: 9n + 18 = 6n + 39. What is n?
  18. 18.Solve: t/3 + t/4 = 42. What is t?
  19. 19.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?
  20. 20.Solve: m/6 + m/3 = 18. What is m?
  21. 21.A father is 15 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  22. 22.Solve: 5(t − 1) = 4t + 1. What is t?
  23. 23.Solve: 7m + 20 = m + 50. What is m?
  24. 24.The length of a rectangle is 8 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
  25. 25.A father is 30 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?
  26. 26.A father is 11 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  27. 27.Solve: p/3 + p/2 = 30. What is p?
  28. 28.The sum of two consecutive whole numbers is 117. What is the largest of them?
  29. 29.Solve: 3(m − 1) = m + 5. What is m?
  30. 30.Solve: 5t + 9 = 3t + 11. What is t?
  31. 31.Solve: 5p + 12 = p + 32. What is p?
  32. 32.The length of a rectangle is 12 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
  33. 33.Solve: n/3 + n/6 = 6. What is n?
  34. 34.Solve: 6(p − 2) = 3p + 12. What is p?
  35. 35.The sum of two consecutive whole numbers is 73. What is the smallest of them?
  36. 36.Solve: 8x + 5 = 4x + 45. What is x?
  37. 37.The sum of two consecutive whole numbers is 51. What is the largest of them?
  38. 38.Solve: 6p + 4 = 4p + 6. What is p?
  39. 39.Solve: n/3 + n/2 = 35. What is n?
  40. 40.Solve: 9x + 12 = x + 68. What is x?

Answer key

  1. 140
  2. 3
  3. 13
  4. 12
  5. 7
  6. 6
  7. 14
  8. 16
  9. 3
  10. 6
  11. 7
  12. 27
  13. 27
  14. 7
  15. 25
  16. 9
  17. 7
  18. 72
  19. 9
  20. 36
  21. 9
  22. 6
  23. 5
  24. 9
  25. 5
  26. 9
  27. 36
  28. 59
  29. 4
  30. 1
  31. 5
  32. 18
  33. 12
  34. 8
  35. 36
  36. 10
  37. 26
  38. 1
  39. 42
  40. 7

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