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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 203 · 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: 5(x − 5) = 2x + 38. What is x?
  2. 2.Solve: p/6 + p/5 = 44. What is p?
  3. 3.The sum of two consecutive whole numbers is 107. What is the smallest of them?
  4. 4.Solve: 6(n − 5) = n + 35. What is n?
  5. 5.Solve: 3(x − 2) = x + 20. What is x?
  6. 6.Solve: 4n + 2 = 2n + 10. What is n?
  7. 7.Solve: 3(x − 2) = 2x + 1. What is x?
  8. 8.The length of a rectangle is 10 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
  9. 9.The length of a rectangle is 9 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
  10. 10.The sum of two consecutive whole numbers is 93. What is the smallest of them?
  11. 11.Solve: 6(m − 1) = 3m + 3. What is m?
  12. 12.Solve: 8x + 12 = 7x + 23. What is x?
  13. 13.Solve: 6(p − 2) = p + 8. What is p?
  14. 14.Solve: m/4 + m/3 = 35. What is m?
  15. 15.A father is 17 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  16. 16.Solve: 6(y − 3) = 3y + 3. What is y?
  17. 17.Solve: t/5 + t/2 = 14. What is t?
  18. 18.Solve: 3(m − 4) = 2m + 4. What is m?
  19. 19.The sum of four consecutive whole numbers is 158. What is the largest of them?
  20. 20.A father is 22 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
  21. 21.Solve: n/2 + n/6 = 8. What is n?
  22. 22.Solve: 6(t − 4) = 3t + 27. What is t?
  23. 23.Solve: 5(p − 3) = 3p + 23. What is p?
  24. 24.Solve: 7m + 5 = 5m + 25. What is m?
  25. 25.Solve: 5p + 2 = p + 6. What is p?
  26. 26.Solve: 4x + 12 = 2x + 28. What is x?
  27. 27.A father is 12 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  28. 28.Solve: 3(y − 1) = 2y + 2. What is y?
  29. 29.The sum of two consecutive whole numbers is 63. What is the largest of them?
  30. 30.Solve: m/2 + m/5 = 49. What is m?
  31. 31.Solve: 4(x − 4) = x + 8. What is x?
  32. 32.Solve: 4(n − 1) = n + 32. What is n?
  33. 33.Solve: p/3 + p/2 = 10. What is p?
  34. 34.A father is 5 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  35. 35.Solve: p/3 + p/4 = 28. What is p?
  36. 36.Solve: 5m + 12 = 2m + 36. What is m?
  37. 37.Solve: 9x + 5 = x + 21. What is x?
  38. 38.The sum of four consecutive whole numbers is 186. What is the largest of them?
  39. 39.The length of a rectangle is 7 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
  40. 40.Solve: m/3 + m/6 = 12. What is m?

Answer key

  1. 21
  2. 120
  3. 53
  4. 13
  5. 13
  6. 4
  7. 7
  8. 5
  9. 17
  10. 46
  11. 3
  12. 11
  13. 4
  14. 60
  15. 9
  16. 7
  17. 20
  18. 16
  19. 41
  20. 3
  21. 12
  22. 17
  23. 19
  24. 10
  25. 1
  26. 8
  27. 9
  28. 5
  29. 32
  30. 70
  31. 8
  32. 12
  33. 12
  34. 2
  35. 48
  36. 8
  37. 2
  38. 48
  39. 12
  40. 24

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