Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 255 · 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 2 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
2. 2.The sum of two consecutive whole numbers is 97. What is the smallest of them?
3. 3.The sum of three consecutive whole numbers is 180. What is the smallest of them?
4. 4.The length of a rectangle is 5 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
5. 5.The sum of two consecutive whole numbers is 113. What is the smallest of them?
6. 6.A father is 32 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?
7. 7.Solve: 8x + 16 = 5x + 49. What is x?
8. 8.Solve: 5(x − 2) = 4x + 3. What is x?
9. 9.A father is 8 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
10. 10.Solve: 5(n − 1) = 4n + 2. What is n?
11. 11.Solve: t/6 + t/3 = 15. What is t?
12. 12.The sum of four consecutive whole numbers is 166. What is the smallest of them?
13. 13.The length of a rectangle is 15 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
14. 14.The sum of three consecutive whole numbers is 105. What is the smallest of them?
15. 15.Solve: 5(n − 4) = 4n + 10. What is n?
16. 16.The sum of three consecutive whole numbers is 147. What is the smallest of them?
17. 17.Solve: 5(x − 4) = 2x + 1. What is x?
18. 18.The sum of two consecutive whole numbers is 31. What is the smallest of them?
19. 19.Solve: 4t + 3 = 2t + 15. What is t?
20. 20.Solve: m/4 + m/2 = 9. What is m?
21. 21.The length of a rectangle is 13 cm more than its width. Its perimeter is 138 cm. What is its width (in cm)?
22. 22.Solve: 5(x − 5) = x + 11. What is x?
23. 23.A father is 13 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
24. 24.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?
25. 25.Solve: 4(p − 1) = p + 11. What is p?
26. 26.The sum of three consecutive whole numbers is 108. What is the largest of them?
27. 27.The sum of two consecutive whole numbers is 45. What is the smallest of them?
28. 28.The sum of four consecutive whole numbers is 66. What is the smallest of them?
29. 29.Solve: 6y + 5 = 2y + 9. What is y?
30. 30.Solve: 6n + 5 = 4n + 29. What is n?
31. 31.Solve: 6(n − 5) = 4n + 12. What is n?
32. 32.Solve: y/4 + y/6 = 15. What is y?
33. 33.The length of a rectangle is 15 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
34. 34.The sum of two consecutive whole numbers is 61. What is the largest of them?
35. 35.The length of a rectangle is 3 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
36. 36.The sum of four consecutive whole numbers is 46. What is the smallest of them?
37. 37.Solve: p/6 + p/2 = 32. What is p?
38. 38.Solve: 3p + 7 = 2p + 10. What is p?
39. 39.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?
40. 40.Solve: 5(y − 2) = 2y + 38. What is y?

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