Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 452 · 40 sums

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.

1. 1.A father is 14 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
2. 2.Solve: 6(n − 4) = 2n + 20. What is n?
3. 3.The length of a rectangle is 6 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
4. 4.Solve: 4(y − 1) = 3y + 2. What is y?
5. 5.The length of a rectangle is 6 cm more than its width. Its perimeter is 36 cm. What is its width (in cm)?
6. 6.The sum of three consecutive whole numbers is 63. What is the largest of them?
7. 7.Solve: 8m + 14 = 6m + 40. What is m?
8. 8.Solve: 3t + 17 = 2t + 29. What is t?
9. 9.Solve: 3t + 1 = 2t + 15. What is t?
10. 10.The length of a rectangle is 11 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
11. 11.Solve: x/2 + x/3 = 30. What is x?
12. 12.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?
13. 13.A father is 6 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?
14. 14.The length of a rectangle is 8 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
15. 15.Solve: 4x + 7 = x + 22. What is x?
16. 16.Solve: m/5 + m/4 = 45. What is m?
17. 17.Solve: x/6 + x/3 = 18. What is x?
18. 18.Solve: 7x + 17 = 2x + 27. What is x?
19. 19.The length of a rectangle is 5 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
20. 20.Solve: p/3 + p/4 = 28. What is p?
21. 21.Solve: 5(p − 3) = 4p + 6. What is p?
22. 22.Solve: 4(y − 5) = y + 34. What is y?
23. 23.A father is 24 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
24. 24.Solve: 5m + 20 = 2m + 50. What is m?
25. 25.The sum of three consecutive whole numbers is 81. What is the smallest of them?
26. 26.Solve: m/2 + m/3 = 35. What is m?
27. 27.The length of a rectangle is 1 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
28. 28.The length of a rectangle is 15 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
29. 29.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?
30. 30.Solve: 9m + 9 = 4m + 49. What is m?
31. 31.A father is 21 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?
32. 32.A father is 18 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?
33. 33.Solve: 5p + 7 = 2p + 46. What is p?
34. 34.Solve: 5(x − 4) = 2x + 25. What is x?
35. 35.The length of a rectangle is 6 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
36. 36.Solve: 9n + 14 = 4n + 74. What is n?
37. 37.Solve: 6n + 9 = 5n + 19. What is n?
38. 38.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?
39. 39.The length of a rectangle is 2 cm more than its width. Its perimeter is 16 cm. What is its width (in cm)?
40. 40.A father is 36 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?

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets