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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 440 · 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(m − 5) = 2m + 11. What is m?
  2. 2.Solve: 3y + 1 = y + 13. What is y?
  3. 3.The length of a rectangle is 9 cm more than its width. Its perimeter is 130 cm. What is its width (in cm)?
  4. 4.Solve: 4m + 15 = m + 33. What is m?
  5. 5.Solve: 5x + 12 = 4x + 22. What is x?
  6. 6.Solve: 3(y − 4) = y + 24. What is y?
  7. 7.The length of a rectangle is 9 cm more than its width. Its perimeter is 134 cm. What is its width (in cm)?
  8. 8.Solve: 6(x − 2) = 2x + 24. What is x?
  9. 9.Solve: m/6 + m/2 = 16. What is m?
  10. 10.Solve: p/4 + p/2 = 24. What is p?
  11. 11.The sum of four consecutive whole numbers is 174. What is the smallest of them?
  12. 12.Solve: 3(p − 5) = p + 21. What is p?
  13. 13.A father is 13 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  14. 14.Solve: t/4 + t/3 = 21. What is t?
  15. 15.Solve: 7t + 18 = 4t + 21. What is t?
  16. 16.Solve: 4p + 5 = p + 47. What is p?
  17. 17.A father is 22 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?
  18. 18.The length of a rectangle is 8 cm more than its width. Its perimeter is 72 cm. What is its width (in cm)?
  19. 19.Solve: 5(x − 3) = 4x + 12. What is x?
  20. 20.Solve: 7x + 1 = 6x + 13. What is x?
  21. 21.The sum of four consecutive whole numbers is 150. What is the smallest of them?
  22. 22.Solve: 6p + 1 = 4p + 7. What is p?
  23. 23.Solve: 5(p − 5) = 4p + 13. What is p?
  24. 24.The sum of three consecutive whole numbers is 42. What is the largest of them?
  25. 25.Solve: 3(x − 1) = x + 25. What is x?
  26. 26.A father is 30 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?
  27. 27.Solve: 5(x − 3) = 2x + 39. What is x?
  28. 28.Solve: 6(x − 3) = 5x + 6. What is x?
  29. 29.Solve: 6(t − 5) = t + 65. What is t?
  30. 30.Solve: 6(m − 1) = m + 44. What is m?
  31. 31.The length of a rectangle is 2 cm more than its width. Its perimeter is 104 cm. What is its width (in cm)?
  32. 32.A father is 27 years older than his son. In 4 years, the father will be four times as old as his son. How old is the son now?
  33. 33.The length of a rectangle is 7 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
  34. 34.Solve: p/5 + p/2 = 7. What is p?
  35. 35.Solve: t/6 + t/5 = 22. What is t?
  36. 36.A father is 21 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
  37. 37.Solve: x/2 + x/6 = 20. What is x?
  38. 38.The sum of two consecutive whole numbers is 11. What is the largest of them?
  39. 39.Solve: 5(n − 3) = 4n + 13. What is n?
  40. 40.Solve: 3t + 18 = t + 20. What is t?

Answer key

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

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