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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 429 · 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: 4m + 19 = 3m + 26. What is m?
  2. 2.The length of a rectangle is 2 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
  3. 3.The length of a rectangle is 9 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
  4. 4.The sum of four consecutive whole numbers is 158. What is the largest of them?
  5. 5.Solve: 7p + 10 = 2p + 75. What is p?
  6. 6.Solve: m/4 + m/6 = 30. What is m?
  7. 7.A father is 30 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?
  8. 8.The length of a rectangle is 15 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
  9. 9.A father is 26 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?
  10. 10.Solve: y/5 + y/3 = 32. What is y?
  11. 11.Solve: 3m + 4 = m + 26. What is m?
  12. 12.Solve: x/4 + x/6 = 40. What is x?
  13. 13.The sum of four consecutive whole numbers is 198. What is the smallest of them?
  14. 14.A father is 14 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  15. 15.Solve: 4m + 19 = m + 22. What is m?
  16. 16.Solve: 6t + 1 = 4t + 25. What is t?
  17. 17.The length of a rectangle is 2 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
  18. 18.The length of a rectangle is 9 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
  19. 19.The sum of two consecutive whole numbers is 105. What is the largest of them?
  20. 20.Solve: 3(m − 4) = m + 16. What is m?
  21. 21.The length of a rectangle is 9 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
  22. 22.Solve: 4(n − 3) = 3n + 8. What is n?
  23. 23.Solve: p/4 + p/2 = 9. What is p?
  24. 24.Solve: n/5 + n/3 = 24. What is n?
  25. 25.Solve: 3t + 10 = 2t + 13. What is t?
  26. 26.Solve: 3(p − 3) = 2p + 3. What is p?
  27. 27.Solve: 3(x − 1) = 2x + 13. What is x?
  28. 28.A father is 27 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?
  29. 29.Solve: y/4 + y/6 = 40. What is y?
  30. 30.Solve: 4p + 11 = 2p + 25. What is p?
  31. 31.Solve: m/2 + m/3 = 35. What is m?
  32. 32.Solve: 6(p − 2) = 5p + 9. What is p?
  33. 33.The length of a rectangle is 2 cm more than its width. Its perimeter is 12 cm. What is its width (in cm)?
  34. 34.The length of a rectangle is 2 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
  35. 35.Solve: y/3 + y/5 = 64. What is y?
  36. 36.The length of a rectangle is 12 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
  37. 37.Solve: 4(t − 4) = t + 2. What is t?
  38. 38.Solve: 6t + 3 = t + 33. What is t?
  39. 39.The length of a rectangle is 1 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
  40. 40.Solve: 9x + 9 = 6x + 24. What is x?

Answer key

  1. 7
  2. 23
  3. 26
  4. 41
  5. 13
  6. 72
  7. 9
  8. 14
  9. 12
  10. 60
  11. 11
  12. 96
  13. 48
  14. 8
  15. 1
  16. 12
  17. 26
  18. 5
  19. 53
  20. 14
  21. 16
  22. 20
  23. 12
  24. 45
  25. 3
  26. 12
  27. 16
  28. 7
  29. 96
  30. 7
  31. 42
  32. 21
  33. 2
  34. 16
  35. 120
  36. 18
  37. 6
  38. 6
  39. 16
  40. 5

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