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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 290 · 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: 7y + 5 = y + 95. What is y?
  2. 2.Solve: 3(x − 3) = x + 13. What is x?
  3. 3.The length of a rectangle is 13 cm more than its width. Its perimeter is 130 cm. What is its width (in cm)?
  4. 4.A father is 9 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?
  5. 5.Solve: 4(y − 3) = y + 30. What is y?
  6. 6.A father is 48 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?
  7. 7.The sum of three consecutive whole numbers is 108. What is the largest of them?
  8. 8.A father is 38 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
  9. 9.Solve: 4(p − 5) = 2p + 14. What is p?
  10. 10.Solve: 4m + 11 = 2m + 15. What is m?
  11. 11.Solve: 9t + 5 = 2t + 103. What is t?
  12. 12.Solve: 9t + 2 = t + 26. What is t?
  13. 13.Solve: 8m + 5 = 5m + 8. What is m?
  14. 14.A father is 18 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?
  15. 15.Solve: n/3 + n/6 = 21. What is n?
  16. 16.Solve: n/3 + n/6 = 15. What is n?
  17. 17.Solve: 9x + 2 = 7x + 28. What is x?
  18. 18.The sum of three consecutive whole numbers is 165. What is the largest of them?
  19. 19.The length of a rectangle is 9 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
  20. 20.Solve: 7t + 3 = 3t + 15. What is t?
  21. 21.The sum of four consecutive whole numbers is 106. What is the largest of them?
  22. 22.A father is 11 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  23. 23.The sum of two consecutive whole numbers is 107. What is the largest of them?
  24. 24.The sum of two consecutive whole numbers is 119. What is the smallest of them?
  25. 25.Solve: 5(x − 3) = 2x + 27. What is x?
  26. 26.Solve: 4(y − 2) = y + 28. What is y?
  27. 27.The sum of three consecutive whole numbers is 177. What is the largest of them?
  28. 28.Solve: n/5 + n/2 = 14. What is n?
  29. 29.A father is 39 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?
  30. 30.A father is 12 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  31. 31.Solve: 5(n − 1) = 4n + 7. What is n?
  32. 32.Solve: 9y + 11 = 6y + 17. What is y?
  33. 33.The length of a rectangle is 12 cm more than its width. Its perimeter is 128 cm. What is its width (in cm)?
  34. 34.Solve: 9t + 13 = 7t + 21. What is t?
  35. 35.The length of a rectangle is 1 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
  36. 36.Solve: 4(p − 1) = 2p + 2. What is p?
  37. 37.The sum of two consecutive whole numbers is 93. What is the largest of them?
  38. 38.Solve: 4y + 5 = 2y + 21. What is y?
  39. 39.Solve: 6(p − 3) = 2p + 18. What is p?
  40. 40.Solve: p/2 + p/3 = 5. What is p?

Answer key

  1. 15
  2. 11
  3. 26
  4. 2
  5. 14
  6. 11
  7. 37
  8. 12
  9. 17
  10. 2
  11. 14
  12. 3
  13. 1
  14. 3
  15. 42
  16. 30
  17. 13
  18. 56
  19. 26
  20. 3
  21. 28
  22. 5
  23. 54
  24. 59
  25. 14
  26. 12
  27. 60
  28. 20
  29. 6
  30. 8
  31. 12
  32. 2
  33. 26
  34. 4
  35. 20
  36. 3
  37. 47
  38. 8
  39. 9
  40. 6

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