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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 351 · 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 two consecutive whole numbers is 29. What is the largest of them?
  2. 2.Solve: 6(y − 4) = 5y + 3. What is y?
  3. 3.Solve: 3(m − 2) = 2m + 1. What is m?
  4. 4.Solve: p/4 + p/3 = 7. What is p?
  5. 5.The length of a rectangle is 4 cm more than its width. Its perimeter is 64 cm. What is its width (in cm)?
  6. 6.The sum of four consecutive whole numbers is 178. What is the largest of them?
  7. 7.Solve: 6p + 14 = p + 34. What is p?
  8. 8.Solve: 3m + 7 = m + 13. What is m?
  9. 9.Solve: 4(m − 1) = 2m + 26. What is m?
  10. 10.Solve: 4p + 4 = 3p + 12. What is p?
  11. 11.A father is 42 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
  12. 12.Solve: 3(p − 5) = p + 5. What is p?
  13. 13.Solve: m/5 + m/2 = 35. What is m?
  14. 14.Solve: y/5 + y/3 = 48. What is y?
  15. 15.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?
  16. 16.Solve: 3m + 19 = 2m + 23. What is m?
  17. 17.Solve: 5(p − 5) = 3p + 11. What is p?
  18. 18.Solve: 3n + 9 = n + 17. What is n?
  19. 19.Solve: x/6 + x/4 = 5. What is x?
  20. 20.Solve: 4(t − 3) = 3t + 9. What is t?
  21. 21.The length of a rectangle is 4 cm more than its width. Its perimeter is 104 cm. What is its width (in cm)?
  22. 22.Solve: 6(y − 1) = 5y + 1. What is y?
  23. 23.Solve: n/2 + n/3 = 25. What is n?
  24. 24.Solve: 7p + 3 = 2p + 8. What is p?
  25. 25.Solve: 5(t − 3) = 2t + 24. What is t?
  26. 26.Solve: 6(n − 1) = n + 9. What is n?
  27. 27.The length of a rectangle is 7 cm more than its width. Its perimeter is 130 cm. What is its width (in cm)?
  28. 28.The length of a rectangle is 8 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
  29. 29.The sum of three consecutive whole numbers is 21. What is the largest of them?
  30. 30.Solve: m/6 + m/5 = 66. What is m?
  31. 31.The sum of two consecutive whole numbers is 19. What is the smallest of them?
  32. 32.Solve: 6y + 7 = 2y + 19. What is y?
  33. 33.Solve: 6(m − 2) = 4m + 8. What is m?
  34. 34.The sum of two consecutive whole numbers is 69. What is the smallest of them?
  35. 35.Solve: 3(m − 3) = m + 23. What is m?
  36. 36.The length of a rectangle is 5 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
  37. 37.Solve: 4(n − 5) = n + 37. What is n?
  38. 38.The length of a rectangle is 2 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
  39. 39.The sum of four consecutive whole numbers is 106. What is the largest of them?
  40. 40.Solve: 8m + 1 = 6m + 23. What is m?

Answer key

  1. 15
  2. 27
  3. 7
  4. 12
  5. 14
  6. 46
  7. 4
  8. 3
  9. 15
  10. 8
  11. 12
  12. 10
  13. 50
  14. 90
  15. 3
  16. 4
  17. 18
  18. 4
  19. 12
  20. 21
  21. 24
  22. 7
  23. 30
  24. 1
  25. 13
  26. 3
  27. 29
  28. 9
  29. 8
  30. 180
  31. 9
  32. 3
  33. 10
  34. 34
  35. 16
  36. 24
  37. 19
  38. 14
  39. 28
  40. 11

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