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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 612 · 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: 4(t − 5) = t + 1. What is t?
  2. 2.The sum of four consecutive whole numbers is 90. What is the smallest of them?
  3. 3.Solve: 4(n − 2) = n + 37. What is n?
  4. 4.Solve: 8m + 5 = 5m + 8. What is m?
  5. 5.Solve: 3(y − 5) = y + 5. What is y?
  6. 6.Solve: 4(n − 3) = 3n + 7. What is n?
  7. 7.Solve: 3t + 14 = 2t + 25. What is t?
  8. 8.Solve: 3(n − 5) = 2n + 3. What is n?
  9. 9.A father is 45 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?
  10. 10.A father is 8 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  11. 11.Solve: 7y + 1 = 2y + 21. What is y?
  12. 12.Solve: 5(m − 1) = m + 11. What is m?
  13. 13.A father is 11 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  14. 14.Solve: 6p + 15 = 2p + 51. What is p?
  15. 15.Solve: 5(t − 1) = t + 15. What is t?
  16. 16.A father is 17 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  17. 17.A father is 40 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
  18. 18.The length of a rectangle is 2 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
  19. 19.Solve: 4(n − 1) = 2n + 14. What is n?
  20. 20.The length of a rectangle is 15 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
  21. 21.Solve: 5(y − 5) = 3y + 19. What is y?
  22. 22.The length of a rectangle is 14 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
  23. 23.Solve: 6(m − 5) = 4m + 10. What is m?
  24. 24.Solve: 6(y − 3) = 5y + 10. What is y?
  25. 25.Solve: 9n + 3 = 2n + 66. What is n?
  26. 26.Solve: 4(p − 1) = 3p + 8. What is p?
  27. 27.Solve: 5(n − 2) = n + 2. What is n?
  28. 28.The length of a rectangle is 6 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
  29. 29.The length of a rectangle is 9 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
  30. 30.Solve: p/2 + p/3 = 20. What is p?
  31. 31.Solve: 4n + 9 = 3n + 16. What is n?
  32. 32.A father is 14 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  33. 33.Solve: 9y + 9 = 4y + 14. What is y?
  34. 34.Solve: m/4 + m/6 = 15. What is m?
  35. 35.A father is 6 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  36. 36.Solve: 6(m − 3) = 5m + 3. What is m?
  37. 37.The length of a rectangle is 2 cm more than its width. Its perimeter is 72 cm. What is its width (in cm)?
  38. 38.Solve: 5(x − 2) = 2x + 11. What is x?
  39. 39.Solve: n/3 + n/4 = 21. What is n?
  40. 40.Solve: 5(p − 1) = 2p + 28. What is p?

Answer key

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

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