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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 172 · 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: 5(p − 2) = 4p + 3. What is p?
  2. 2.The length of a rectangle is 4 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
  3. 3.Solve: 3p + 10 = 2p + 25. What is p?
  4. 4.The length of a rectangle is 2 cm more than its width. Its perimeter is 104 cm. What is its width (in cm)?
  5. 5.Solve: 7p + 3 = 2p + 78. What is p?
  6. 6.Solve: 5(x − 3) = 4x + 6. What is x?
  7. 7.Solve: 5x + 13 = x + 29. What is x?
  8. 8.Solve: 5x + 15 = x + 63. What is x?
  9. 9.The sum of two consecutive whole numbers is 59. What is the largest of them?
  10. 10.Solve: 8y + 8 = 4y + 16. What is y?
  11. 11.Solve: 3(p − 4) = 2p + 6. What is p?
  12. 12.The length of a rectangle is 11 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
  13. 13.Solve: 4y + 4 = 3y + 16. What is y?
  14. 14.The sum of four consecutive whole numbers is 94. What is the smallest of them?
  15. 15.A father is 30 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?
  16. 16.The sum of three consecutive whole numbers is 177. What is the largest of them?
  17. 17.A father is 8 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  18. 18.Solve: 3(t − 2) = 2t + 10. What is t?
  19. 19.The sum of two consecutive whole numbers is 53. What is the largest of them?
  20. 20.Solve: 6(y − 2) = 5y + 1. What is y?
  21. 21.A father is 36 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?
  22. 22.Solve: n/3 + n/2 = 10. What is n?
  23. 23.Solve: 8x + 19 = x + 96. What is x?
  24. 24.The sum of three consecutive whole numbers is 123. What is the largest of them?
  25. 25.The length of a rectangle is 2 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
  26. 26.Solve: 8m + 9 = m + 44. What is m?
  27. 27.A father is 20 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  28. 28.The sum of four consecutive whole numbers is 138. What is the largest of them?
  29. 29.A father is 9 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  30. 30.Solve: t/2 + t/4 = 6. What is t?
  31. 31.Solve: 3(n − 5) = n + 13. What is n?
  32. 32.Solve: n/4 + n/5 = 72. What is n?
  33. 33.Solve: y/3 + y/2 = 30. What is y?
  34. 34.A father is 54 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?
  35. 35.Solve: p/4 + p/2 = 18. What is p?
  36. 36.Solve: 5(t − 5) = 2t + 20. What is t?
  37. 37.The length of a rectangle is 14 cm more than its width. Its perimeter is 84 cm. What is its width (in cm)?
  38. 38.Solve: 4y + 8 = 2y + 36. What is y?
  39. 39.Solve: 5(p − 2) = 4p + 13. What is p?
  40. 40.A father is 28 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?

Answer key

  1. 13
  2. 18
  3. 15
  4. 25
  5. 15
  6. 21
  7. 4
  8. 12
  9. 30
  10. 2
  11. 18
  12. 18
  13. 12
  14. 22
  15. 6
  16. 60
  17. 3
  18. 16
  19. 27
  20. 13
  21. 9
  22. 12
  23. 11
  24. 42
  25. 23
  26. 5
  27. 12
  28. 36
  29. 6
  30. 8
  31. 14
  32. 160
  33. 36
  34. 11
  35. 24
  36. 15
  37. 14
  38. 14
  39. 23
  40. 7

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