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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 194 · 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(y − 5) = 2y + 4. What is y?
  2. 2.The length of a rectangle is 7 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
  3. 3.Solve: 5t + 14 = 4t + 24. What is t?
  4. 4.The length of a rectangle is 4 cm more than its width. Its perimeter is 120 cm. What is its width (in cm)?
  5. 5.Solve: 3(y − 2) = y + 6. What is y?
  6. 6.Solve: 5(p − 4) = 2p + 1. What is p?
  7. 7.Solve: n/6 + n/2 = 12. What is n?
  8. 8.The length of a rectangle is 9 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
  9. 9.Solve: t/6 + t/5 = 11. What is t?
  10. 10.A father is 24 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?
  11. 11.Solve: n/4 + n/6 = 35. What is n?
  12. 12.Solve: 5p + 14 = p + 34. What is p?
  13. 13.The sum of three consecutive whole numbers is 72. What is the smallest of them?
  14. 14.Solve: y/6 + y/4 = 10. What is y?
  15. 15.The length of a rectangle is 6 cm more than its width. Its perimeter is 64 cm. What is its width (in cm)?
  16. 16.The sum of two consecutive whole numbers is 121. What is the largest of them?
  17. 17.Solve: 4(t − 3) = t + 18. What is t?
  18. 18.Solve: 6(n − 4) = 3n + 6. What is n?
  19. 19.Solve: 5(y − 5) = 3y + 3. What is y?
  20. 20.Solve: m/6 + m/2 = 20. What is m?
  21. 21.The length of a rectangle is 4 cm more than its width. Its perimeter is 20 cm. What is its width (in cm)?
  22. 22.Solve: 5y + 7 = y + 11. What is y?
  23. 23.A father is 12 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  24. 24.Solve: 9y + 9 = 6y + 27. What is y?
  25. 25.Solve: 5(x − 3) = 3x + 13. What is x?
  26. 26.Solve: 3(n − 3) = 2n + 3. What is n?
  27. 27.Solve: 6(x − 2) = 2x + 40. What is x?
  28. 28.The sum of two consecutive whole numbers is 121. What is the smallest of them?
  29. 29.Solve: 7x + 3 = 4x + 24. What is x?
  30. 30.The sum of two consecutive whole numbers is 65. What is the smallest of them?
  31. 31.The length of a rectangle is 14 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
  32. 32.Solve: 5(n − 4) = 3n + 6. What is n?
  33. 33.A father is 27 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?
  34. 34.Solve: 5m + 5 = 4m + 9. What is m?
  35. 35.The length of a rectangle is 2 cm more than its width. Its perimeter is 16 cm. What is its width (in cm)?
  36. 36.Solve: 6(m − 1) = m + 14. What is m?
  37. 37.A father is 12 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  38. 38.The length of a rectangle is 14 cm more than its width. Its perimeter is 148 cm. What is its width (in cm)?
  39. 39.Solve: 3(p − 5) = 2p + 4. What is p?
  40. 40.The sum of four consecutive whole numbers is 138. What is the largest of them?

Answer key

  1. 19
  2. 21
  3. 10
  4. 28
  5. 6
  6. 7
  7. 18
  8. 14
  9. 30
  10. 3
  11. 84
  12. 5
  13. 23
  14. 24
  15. 13
  16. 61
  17. 10
  18. 10
  19. 14
  20. 30
  21. 3
  22. 1
  23. 4
  24. 6
  25. 14
  26. 12
  27. 13
  28. 60
  29. 7
  30. 32
  31. 20
  32. 13
  33. 4
  34. 4
  35. 3
  36. 4
  37. 11
  38. 30
  39. 19
  40. 36

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