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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 346 · 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: 3(m − 1) = m + 13. What is m?
  2. 2.Solve: 7p + 7 = 5p + 13. What is p?
  3. 3.Solve: 3(p − 1) = 2p + 5. What is p?
  4. 4.The length of a rectangle is 6 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
  5. 5.The sum of four consecutive whole numbers is 62. What is the largest of them?
  6. 6.Solve: 6(m − 2) = 2m + 24. What is m?
  7. 7.The length of a rectangle is 8 cm more than its width. Its perimeter is 76 cm. What is its width (in cm)?
  8. 8.Solve: 4n + 14 = 3n + 16. What is n?
  9. 9.Solve: m/3 + m/6 = 9. What is m?
  10. 10.Solve: x/4 + x/2 = 6. What is x?
  11. 11.Solve: 9p + 16 = 3p + 82. What is p?
  12. 12.Solve: 4(n − 5) = n + 10. What is n?
  13. 13.The length of a rectangle is 11 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
  14. 14.The sum of two consecutive whole numbers is 11. What is the smallest of them?
  15. 15.A father is 42 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
  16. 16.Solve: 3(m − 1) = 2m + 5. What is m?
  17. 17.A father is 19 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  18. 18.Solve: 6(t − 2) = 4t + 14. What is t?
  19. 19.Solve: 6(m − 5) = 3m + 15. What is m?
  20. 20.Solve: 5(n − 2) = n + 42. What is n?
  21. 21.Solve: 5(m − 2) = 4m + 3. What is m?
  22. 22.The sum of four consecutive whole numbers is 190. What is the largest of them?
  23. 23.The length of a rectangle is 2 cm more than its width. Its perimeter is 20 cm. What is its width (in cm)?
  24. 24.Solve: 3(m − 5) = m + 1. What is m?
  25. 25.Solve: n/5 + n/3 = 48. What is n?
  26. 26.The length of a rectangle is 13 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
  27. 27.A father is 7 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.Solve: 4(m − 2) = m + 1. What is m?
  29. 29.Solve: 5(n − 3) = 3n + 5. What is n?
  30. 30.Solve: y/2 + y/3 = 10. What is y?
  31. 31.The length of a rectangle is 13 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
  32. 32.The sum of two consecutive whole numbers is 69. What is the largest of them?
  33. 33.The length of a rectangle is 1 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
  34. 34.A father is 14 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  35. 35.The length of a rectangle is 8 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
  36. 36.The sum of three consecutive whole numbers is 108. What is the smallest of them?
  37. 37.Solve: 6(n − 5) = 4n + 16. What is n?
  38. 38.Solve: 7n + 3 = 5n + 5. What is n?
  39. 39.Solve: m/2 + m/5 = 42. What is m?
  40. 40.Solve: 3t + 18 = t + 42. What is t?

Answer key

  1. 8
  2. 3
  3. 8
  4. 9
  5. 17
  6. 9
  7. 15
  8. 2
  9. 18
  10. 8
  11. 11
  12. 10
  13. 20
  14. 5
  15. 7
  16. 8
  17. 12
  18. 13
  19. 15
  20. 13
  21. 13
  22. 49
  23. 4
  24. 8
  25. 90
  26. 14
  27. 4
  28. 3
  29. 10
  30. 12
  31. 18
  32. 35
  33. 10
  34. 12
  35. 13
  36. 35
  37. 23
  38. 1
  39. 60
  40. 12

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