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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 79 · 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: 6n + 16 = 5n + 17. What is n?
  2. 2.The length of a rectangle is 2 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
  3. 3.Solve: 3p + 17 = 2p + 20. What is p?
  4. 4.Solve: x/4 + x/6 = 15. What is x?
  5. 5.Solve: 7p + 4 = 6p + 19. What is p?
  6. 6.The length of a rectangle is 1 cm more than its width. Its perimeter is 18 cm. What is its width (in cm)?
  7. 7.Solve: m/4 + m/5 = 54. What is m?
  8. 8.The sum of three consecutive whole numbers is 96. What is the smallest of them?
  9. 9.Solve: 4x + 18 = 3x + 20. What is x?
  10. 10.Solve: n/2 + n/3 = 35. What is n?
  11. 11.The length of a rectangle is 9 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
  12. 12.The sum of three consecutive whole numbers is 135. What is the smallest of them?
  13. 13.Solve: 4(x − 4) = 3x + 13. What is x?
  14. 14.Solve: 3(x − 4) = x + 14. What is x?
  15. 15.The length of a rectangle is 5 cm more than its width. Its perimeter is 18 cm. What is its width (in cm)?
  16. 16.Solve: 8p + 16 = 5p + 55. What is p?
  17. 17.The length of a rectangle is 4 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
  18. 18.A father is 18 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
  19. 19.A father is 11 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  20. 20.Solve: 5y + 1 = y + 21. What is y?
  21. 21.Solve: y/3 + y/5 = 8. What is y?
  22. 22.Solve: 3(n − 4) = n + 14. What is n?
  23. 23.Solve: t/6 + t/3 = 21. What is t?
  24. 24.Solve: n/4 + n/6 = 15. What is n?
  25. 25.The length of a rectangle is 7 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
  26. 26.Solve: 8x + 18 = 7x + 20. What is x?
  27. 27.Solve: m/5 + m/4 = 27. What is m?
  28. 28.The sum of two consecutive whole numbers is 69. What is the smallest of them?
  29. 29.The length of a rectangle is 9 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
  30. 30.A father is 33 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?
  31. 31.Solve: x/6 + x/3 = 3. What is x?
  32. 32.A father is 28 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
  33. 33.A father is 26 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
  34. 34.The sum of three consecutive whole numbers is 123. What is the smallest of them?
  35. 35.Solve: 3(t − 5) = t + 1. What is t?
  36. 36.A father is 15 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  37. 37.The sum of four consecutive whole numbers is 46. What is the smallest of them?
  38. 38.The sum of three consecutive whole numbers is 132. What is the smallest of them?
  39. 39.Solve: 4(y − 3) = 3y + 1. What is y?
  40. 40.The sum of two consecutive whole numbers is 25. What is the smallest of them?

Answer key

  1. 1
  2. 26
  3. 3
  4. 36
  5. 15
  6. 4
  7. 120
  8. 31
  9. 2
  10. 42
  11. 9
  12. 44
  13. 29
  14. 13
  15. 2
  16. 13
  17. 9
  18. 6
  19. 4
  20. 5
  21. 15
  22. 13
  23. 42
  24. 36
  25. 21
  26. 2
  27. 60
  28. 34
  29. 23
  30. 4
  31. 6
  32. 8
  33. 11
  34. 40
  35. 8
  36. 11
  37. 10
  38. 43
  39. 13
  40. 12

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