Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 948 · 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.Solve: x/4 + x/3 = 21. What is x?
2. 2.Solve: 3(n − 1) = 2n + 5. What is n?
3. 3.A father is 26 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?
4. 4.Solve: 3n + 4 = 2n + 19. What is n?
5. 5.The length of a rectangle is 8 cm more than its width. Its perimeter is 24 cm. What is its width (in cm)?
6. 6.The sum of four consecutive whole numbers is 242. What is the smallest of them?
7. 7.Solve: m/6 + m/4 = 5. What is m?
8. 8.Solve: x/2 + x/6 = 20. What is x?
9. 9.The length of a rectangle is 8 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
10. 10.A father is 9 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
11. 11.A father is 51 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
12. 12.A father is 18 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?
13. 13.A father is 48 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
14. 14.Solve: 8m + 19 = 7m + 25. What is m?
15. 15.The sum of three consecutive whole numbers is 45. What is the smallest of them?
16. 16.A father is 24 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?
17. 17.The sum of four consecutive whole numbers is 34. What is the largest of them?
18. 18.The length of a rectangle is 3 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
19. 19.Solve: x/6 + x/4 = 35. What is x?
20. 20.The length of a rectangle is 13 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
21. 21.Solve: 8t + 4 = 6t + 10. What is t?
22. 22.Solve: x/4 + x/2 = 18. What is x?
23. 23.Solve: 6(t − 3) = t + 47. What is t?
24. 24.Solve: 4(x − 4) = 2x + 24. What is x?
25. 25.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?
26. 26.Solve: 4n + 1 = n + 31. What is n?
27. 27.The length of a rectangle is 15 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
28. 28.Solve: 5y + 1 = 3y + 13. What is y?
29. 29.Solve: 9x + 16 = x + 56. What is x?
30. 30.The sum of four consecutive whole numbers is 182. What is the smallest of them?
31. 31.Solve: 5(y − 1) = 4y + 3. What is y?
32. 32.Solve: 5t + 1 = t + 5. What is t?
33. 33.The sum of two consecutive whole numbers is 29. What is the largest of them?
34. 34.The length of a rectangle is 5 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
35. 35.The sum of two consecutive whole numbers is 79. What is the smallest of them?
36. 36.Solve: 9n + 17 = 8n + 26. What is n?
37. 37.Solve: 3y + 4 = 2y + 15. What is y?
38. 38.Solve: t/4 + t/3 = 49. What is t?
39. 39.Solve: 4x + 9 = 2x + 35. What is x?
40. 40.The sum of two consecutive whole numbers is 15. What is the largest of them?

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