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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 622 · 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 25. What is the smallest of them?
  2. 2.Solve: 7p + 1 = p + 85. What is p?
  3. 3.Solve: 3(y − 4) = y + 14. What is y?
  4. 4.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?
  5. 5.The length of a rectangle is 5 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
  6. 6.Solve: 6(m − 5) = 4m + 16. What is m?
  7. 7.Solve: p/2 + p/4 = 12. What is p?
  8. 8.The length of a rectangle is 6 cm more than its width. Its perimeter is 132 cm. What is its width (in cm)?
  9. 9.Solve: 6x + 10 = 3x + 37. What is x?
  10. 10.Solve: 6(p − 2) = 2p + 12. What is p?
  11. 11.Solve: t/5 + t/3 = 64. What is t?
  12. 12.Solve: 4(t − 2) = 3t + 5. What is t?
  13. 13.A father is 27 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?
  14. 14.Solve: m/6 + m/3 = 18. What is m?
  15. 15.Solve: p/5 + p/2 = 21. What is p?
  16. 16.Solve: p/3 + p/6 = 21. What is p?
  17. 17.Solve: t/2 + t/3 = 35. What is t?
  18. 18.Solve: 8x + 6 = 2x + 48. What is x?
  19. 19.A father is 22 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?
  20. 20.The sum of three consecutive whole numbers is 132. What is the smallest of them?
  21. 21.Solve: 4x + 19 = 3x + 25. What is x?
  22. 22.Solve: 3(n − 2) = 2n + 11. What is n?
  23. 23.Solve: 4(x − 3) = 3x + 12. What is x?
  24. 24.Solve: 6(m − 4) = 3m + 15. What is m?
  25. 25.The length of a rectangle is 2 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
  26. 26.The length of a rectangle is 2 cm more than its width. Its perimeter is 92 cm. What is its width (in cm)?
  27. 27.Solve: 3(n − 1) = n + 15. What is n?
  28. 28.A father is 33 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?
  29. 29.The length of a rectangle is 8 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
  30. 30.Solve: 3(p − 4) = 2p + 3. What is p?
  31. 31.Solve: 5p + 15 = 4p + 23. What is p?
  32. 32.The length of a rectangle is 2 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
  33. 33.Solve: 3x + 19 = x + 47. What is x?
  34. 34.A father is 51 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?
  35. 35.Solve: 3(p − 5) = p + 9. What is p?
  36. 36.Solve: m/4 + m/3 = 21. What is m?
  37. 37.Solve: 4x + 2 = 2x + 6. What is x?
  38. 38.The length of a rectangle is 15 cm more than its width. Its perimeter is 146 cm. What is its width (in cm)?
  39. 39.The sum of two consecutive whole numbers is 77. What is the smallest of them?
  40. 40.Solve: 7y + 4 = 5y + 16. What is y?

Answer key

  1. 12
  2. 14
  3. 13
  4. 3
  5. 15
  6. 23
  7. 16
  8. 30
  9. 9
  10. 6
  11. 120
  12. 13
  13. 6
  14. 36
  15. 30
  16. 42
  17. 42
  18. 7
  19. 4
  20. 43
  21. 6
  22. 17
  23. 24
  24. 13
  25. 10
  26. 22
  27. 9
  28. 6
  29. 9
  30. 15
  31. 8
  32. 23
  33. 14
  34. 9
  35. 12
  36. 36
  37. 2
  38. 29
  39. 38
  40. 6

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