Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 768 · 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.The length of a rectangle is 7 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
2. 2.The length of a rectangle is 11 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
3. 3.Solve: 5(x − 4) = x + 16. What is x?
4. 4.A father is 34 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?
5. 5.Solve: 8x + 3 = 5x + 27. What is x?
6. 6.The length of a rectangle is 2 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
7. 7.The length of a rectangle is 7 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
8. 8.The sum of three consecutive whole numbers is 81. What is the smallest of them?
9. 9.Solve: x/5 + x/6 = 55. What is x?
10. 10.Solve: x/3 + x/2 = 40. What is x?
11. 11.The length of a rectangle is 4 cm more than its width. Its perimeter is 104 cm. What is its width (in cm)?
12. 12.The sum of two consecutive whole numbers is 105. What is the largest of them?
13. 13.The sum of four consecutive whole numbers is 58. What is the largest of them?
14. 14.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?
15. 15.The length of a rectangle is 1 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
16. 16.Solve: 4(m − 2) = 2m + 24. What is m?
17. 17.Solve: 5x + 12 = 3x + 18. What is x?
18. 18.The length of a rectangle is 9 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
19. 19.The length of a rectangle is 3 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
20. 20.The sum of two consecutive whole numbers is 59. What is the smallest of them?
21. 21.The length of a rectangle is 10 cm more than its width. Its perimeter is 36 cm. What is its width (in cm)?
22. 22.The sum of three consecutive whole numbers is 45. What is the smallest of them?
23. 23.Solve: 3t + 18 = t + 24. What is t?
24. 24.Solve: 5n + 14 = n + 70. What is n?
25. 25.Solve: p/6 + p/4 = 30. What is p?
26. 26.Solve: p/5 + p/2 = 28. What is p?
27. 27.Solve: 3(n − 4) = 2n + 12. What is n?
28. 28.The sum of two consecutive whole numbers is 49. What is the largest of them?
29. 29.Solve: p/2 + p/3 = 35. What is p?
30. 30.The sum of three consecutive whole numbers is 159. What is the largest of them?
31. 31.The length of a rectangle is 14 cm more than its width. Its perimeter is 76 cm. What is its width (in cm)?
32. 32.Solve: p/3 + p/2 = 30. What is p?
33. 33.Solve: 4x + 16 = x + 31. What is x?
34. 34.A father is 4 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
35. 35.The sum of four consecutive whole numbers is 62. What is the largest of them?
36. 36.Solve: y/3 + y/2 = 30. What is y?
37. 37.The sum of two consecutive whole numbers is 17. What is the smallest of them?
38. 38.Solve: 3x + 10 = 2x + 13. What is x?
39. 39.Solve: 5(m − 2) = 3m + 4. What is m?
40. 40.Solve: 6m + 13 = 4m + 15. What is m?

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