Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 592 · 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 11 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
2. 2.The length of a rectangle is 5 cm more than its width. Its perimeter is 22 cm. What is its width (in cm)?
3. 3.A father is 16 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?
4. 4.The sum of three consecutive whole numbers is 18. What is the largest of them?
5. 5.The length of a rectangle is 1 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
6. 6.Solve: 3(x − 1) = x + 25. What is x?
7. 7.Solve: 6(t − 5) = 5t + 10. What is t?
8. 8.Solve: 7p + 13 = 6p + 27. What is p?
9. 9.Solve: 4(n − 2) = n + 7. What is n?
10. 10.Solve: 5(n − 5) = n + 27. What is n?
11. 11.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?
12. 12.The length of a rectangle is 15 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
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 sum of four consecutive whole numbers is 190. What is the largest of them?
15. 15.The length of a rectangle is 6 cm more than its width. Its perimeter is 24 cm. What is its width (in cm)?
16. 16.Solve: 9n + 8 = 4n + 58. What is n?
17. 17.The length of a rectangle is 3 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
18. 18.Solve: 3x + 12 = 2x + 15. What is x?
19. 19.Solve: y/3 + y/4 = 7. What is y?
20. 20.The sum of two consecutive whole numbers is 39. What is the smallest of them?
21. 21.Solve: x/4 + x/3 = 14. What is x?
22. 22.Solve: t/6 + t/2 = 24. What is t?
23. 23.The length of a rectangle is 12 cm more than its width. Its perimeter is 76 cm. What is its width (in cm)?
24. 24.The length of a rectangle is 13 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
25. 25.A father is 36 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?
26. 26.The length of a rectangle is 7 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
27. 27.Solve: n/2 + n/4 = 24. What is n?
28. 28.Solve: 6t + 3 = 3t + 15. What is t?
29. 29.Solve: 5(p − 5) = 4p + 11. What is p?
30. 30.The length of a rectangle is 4 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
31. 31.The sum of three consecutive whole numbers is 132. What is the largest of them?
32. 32.Solve: 5m + 6 = 2m + 51. What is m?
33. 33.Solve: t/2 + t/3 = 25. What is t?
34. 34.A father is 8 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
35. 35.Solve: x/5 + x/6 = 88. What is x?
36. 36.The length of a rectangle is 8 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
37. 37.Solve: 3y + 20 = y + 30. What is y?
38. 38.A father is 36 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
39. 39.Solve: 3(x − 1) = 2x + 2. What is x?
40. 40.Solve: 3(n − 2) = 2n + 11. What is n?

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