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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 949 · 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 length of a rectangle is 11 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
  2. 2.The length of a rectangle is 7 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
  3. 3.The sum of three consecutive whole numbers is 144. What is the largest of them?
  4. 4.Solve: 3x + 2 = 2x + 9. What is x?
  5. 5.Solve: p/6 + p/2 = 16. What is p?
  6. 6.Solve: 8m + 19 = 7m + 28. What is m?
  7. 7.The length of a rectangle is 12 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
  8. 8.Solve: y/2 + y/5 = 14. What is y?
  9. 9.Solve: 8p + 5 = 5p + 17. What is p?
  10. 10.The length of a rectangle is 11 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
  11. 11.Solve: 6(n − 3) = 5n + 10. What is n?
  12. 12.Solve: 6(p − 5) = 2p + 2. What is p?
  13. 13.The sum of four consecutive whole numbers is 26. What is the smallest of them?
  14. 14.The length of a rectangle is 7 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
  15. 15.Solve: y/2 + y/4 = 3. What is y?
  16. 16.A father is 27 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?
  17. 17.Solve: 5x + 12 = x + 68. What is x?
  18. 18.The sum of two consecutive whole numbers is 37. What is the largest of them?
  19. 19.A father is 33 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
  20. 20.Solve: 7p + 2 = 6p + 13. What is p?
  21. 21.A father is 20 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
  22. 22.Solve: y/6 + y/5 = 22. What is y?
  23. 23.The sum of two consecutive whole numbers is 93. What is the smallest of them?
  24. 24.Solve: 4p + 7 = 3p + 15. What is p?
  25. 25.A father is 8 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  26. 26.A father is 39 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
  27. 27.A father is 18 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?
  28. 28.The sum of two consecutive whole numbers is 91. What is the largest of them?
  29. 29.Solve: 5x + 2 = 3x + 12. What is x?
  30. 30.The length of a rectangle is 10 cm more than its width. Its perimeter is 72 cm. What is its width (in cm)?
  31. 31.A father is 13 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  32. 32.The length of a rectangle is 1 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
  33. 33.Solve: y/5 + y/2 = 21. What is y?
  34. 34.The sum of four consecutive whole numbers is 138. What is the largest of them?
  35. 35.Solve: 6y + 17 = 3y + 23. What is y?
  36. 36.The sum of four consecutive whole numbers is 198. What is the largest of them?
  37. 37.Solve: m/5 + m/6 = 33. What is m?
  38. 38.Solve: p/6 + p/2 = 32. What is p?
  39. 39.Solve: 5m + 17 = 4m + 27. What is m?
  40. 40.Solve: 4t + 4 = 3t + 8. What is t?

Answer key

  1. 22
  2. 12
  3. 49
  4. 7
  5. 24
  6. 9
  7. 6
  8. 20
  9. 4
  10. 7
  11. 28
  12. 8
  13. 5
  14. 19
  15. 4
  16. 2
  17. 14
  18. 19
  19. 10
  20. 11
  21. 9
  22. 60
  23. 46
  24. 8
  25. 7
  26. 11
  27. 5
  28. 46
  29. 5
  30. 13
  31. 7
  32. 14
  33. 30
  34. 36
  35. 2
  36. 51
  37. 90
  38. 48
  39. 10
  40. 4

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