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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 155 · 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: p/4 + p/2 = 24. What is p?
  2. 2.The sum of four consecutive whole numbers is 210. What is the largest of them?
  3. 3.Solve: m/6 + m/4 = 30. What is m?
  4. 4.Solve: 4(n − 5) = n + 1. What is n?
  5. 5.The length of a rectangle is 7 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
  6. 6.Solve: 4(m − 2) = 3m + 11. What is m?
  7. 7.The length of a rectangle is 2 cm more than its width. Its perimeter is 12 cm. What is its width (in cm)?
  8. 8.A father is 48 years older than his son. In 4 years, the father will be four times as old as his son. How old is the son now?
  9. 9.Solve: 3(m − 4) = m + 4. What is m?
  10. 10.The length of a rectangle is 11 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
  11. 11.Solve: x/2 + x/6 = 20. What is x?
  12. 12.Solve: m/6 + m/2 = 8. What is m?
  13. 13.Solve: y/4 + y/3 = 21. What is y?
  14. 14.The sum of four consecutive whole numbers is 158. What is the largest of them?
  15. 15.The length of a rectangle is 5 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
  16. 16.A father is 10 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
  17. 17.Solve: 3(m − 2) = m + 22. What is m?
  18. 18.Solve: 4y + 5 = 2y + 9. What is y?
  19. 19.The length of a rectangle is 11 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
  20. 20.The length of a rectangle is 9 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
  21. 21.Solve: 9p + 2 = 2p + 44. What is p?
  22. 22.Solve: y/3 + y/4 = 49. What is y?
  23. 23.A father is 21 years older than his son. In 4 years, the father will be four times as old as his son. How old is the son now?
  24. 24.The sum of three consecutive whole numbers is 129. What is the smallest of them?
  25. 25.Solve: 6n + 4 = 2n + 36. What is n?
  26. 26.The length of a rectangle is 8 cm more than its width. Its perimeter is 104 cm. What is its width (in cm)?
  27. 27.Solve: 5(y − 4) = 2y + 28. What is y?
  28. 28.The sum of three consecutive whole numbers is 78. What is the largest of them?
  29. 29.Solve: 3(p − 2) = p + 20. What is p?
  30. 30.Solve: 6y + 12 = 4y + 16. What is y?
  31. 31.The sum of two consecutive whole numbers is 11. What is the smallest of them?
  32. 32.The sum of three consecutive whole numbers is 21. What is the smallest of them?
  33. 33.A father is 24 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?
  34. 34.Solve: 9n + 16 = 7n + 24. What is n?
  35. 35.Solve: 6(t − 5) = 2t + 6. What is t?
  36. 36.Solve: 7p + 16 = 2p + 91. What is p?
  37. 37.The length of a rectangle is 1 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
  38. 38.Solve: 6(p − 1) = p + 49. What is p?
  39. 39.Solve: 5y + 14 = 4y + 19. What is y?
  40. 40.Solve: 3(n − 5) = n + 21. What is n?

Answer key

  1. 32
  2. 54
  3. 72
  4. 7
  5. 13
  6. 19
  7. 2
  8. 12
  9. 8
  10. 13
  11. 30
  12. 12
  13. 36
  14. 41
  15. 19
  16. 4
  17. 14
  18. 2
  19. 18
  20. 2
  21. 6
  22. 84
  23. 3
  24. 42
  25. 8
  26. 22
  27. 16
  28. 27
  29. 13
  30. 2
  31. 5
  32. 6
  33. 9
  34. 4
  35. 9
  36. 15
  37. 21
  38. 11
  39. 5
  40. 18

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