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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 636 · 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: 9m + 7 = 8m + 16. What is m?
  2. 2.The length of a rectangle is 14 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
  3. 3.The sum of three consecutive whole numbers is 33. What is the smallest of them?
  4. 4.Solve: 6p + 18 = 5p + 19. What is p?
  5. 5.The length of a rectangle is 9 cm more than its width. Its perimeter is 138 cm. What is its width (in cm)?
  6. 6.Solve: m/3 + m/6 = 12. What is m?
  7. 7.A father is 27 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
  8. 8.Solve: 3(x − 4) = x + 18. What is x?
  9. 9.Solve: y/3 + y/4 = 7. What is y?
  10. 10.Solve: 5(t − 4) = 3t + 12. What is t?
  11. 11.Solve: 5(y − 1) = 2y + 28. What is y?
  12. 12.The sum of two consecutive whole numbers is 67. What is the smallest of them?
  13. 13.The sum of three consecutive whole numbers is 90. What is the largest of them?
  14. 14.Solve: y/3 + y/6 = 18. What is y?
  15. 15.Solve: 4(n − 4) = n + 35. What is n?
  16. 16.A father is 12 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
  17. 17.Solve: 3(m − 5) = m + 11. What is m?
  18. 18.A father is 30 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
  19. 19.Solve: 5n + 9 = 3n + 11. What is n?
  20. 20.The sum of three consecutive whole numbers is 36. What is the largest of them?
  21. 21.Solve: y/2 + y/3 = 5. What is y?
  22. 22.Solve: m/4 + m/2 = 15. What is m?
  23. 23.The length of a rectangle is 9 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
  24. 24.Solve: 6(m − 3) = 2m + 42. What is m?
  25. 25.The sum of two consecutive whole numbers is 101. What is the largest of them?
  26. 26.The sum of four consecutive whole numbers is 86. What is the largest of them?
  27. 27.A father is 54 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
  28. 28.Solve: 6(x − 3) = 5x + 10. What is x?
  29. 29.Solve: y/5 + y/2 = 35. What is y?
  30. 30.A father is 36 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?
  31. 31.Solve: 5(n − 5) = 2n + 17. What is n?
  32. 32.The length of a rectangle is 5 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
  33. 33.The length of a rectangle is 15 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
  34. 34.Solve: 8t + 18 = 5t + 36. What is t?
  35. 35.Solve: 3(x − 2) = 2x + 13. What is x?
  36. 36.Solve: 3(m − 2) = 2m + 4. What is m?
  37. 37.The sum of four consecutive whole numbers is 38. What is the smallest of them?
  38. 38.Solve: n/4 + n/2 = 6. What is n?
  39. 39.The length of a rectangle is 3 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
  40. 40.Solve: p/4 + p/3 = 42. What is p?

Answer key

  1. 9
  2. 18
  3. 10
  4. 1
  5. 30
  6. 24
  7. 3
  8. 15
  9. 12
  10. 16
  11. 11
  12. 33
  13. 31
  14. 36
  15. 17
  16. 2
  17. 13
  18. 4
  19. 1
  20. 13
  21. 6
  22. 20
  23. 14
  24. 15
  25. 51
  26. 23
  27. 12
  28. 28
  29. 50
  30. 4
  31. 14
  32. 16
  33. 6
  34. 6
  35. 19
  36. 10
  37. 8
  38. 8
  39. 11
  40. 72

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