Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 845 · 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 sum of four consecutive whole numbers is 166. What is the smallest of them?
2. 2.The length of a rectangle is 4 cm more than its width. Its perimeter is 64 cm. What is its width (in cm)?
3. 3.Solve: n/2 + n/6 = 20. What is n?
4. 4.A father is 14 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.The sum of three consecutive whole numbers is 180. What is the smallest of them?
6. 6.The length of a rectangle is 15 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
7. 7.A father is 33 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?
8. 8.Solve: t/6 + t/2 = 8. What is t?
9. 9.Solve: 6(x − 3) = x + 27. What is x?
10. 10.The length of a rectangle is 12 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
11. 11.A father is 48 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?
12. 12.Solve: x/2 + x/3 = 5. What is x?
13. 13.Solve: 6(x − 3) = x + 62. What is x?
14. 14.Solve: p/2 + p/6 = 12. What is p?
15. 15.Solve: 3x + 15 = x + 25. What is x?
16. 16.Solve: 3p + 14 = 2p + 19. What is p?
17. 17.A father is 9 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
18. 18.The sum of two consecutive whole numbers is 55. What is the smallest of them?
19. 19.The sum of two consecutive whole numbers is 113. What is the largest of them?
20. 20.Solve: 8y + 13 = 3y + 83. What is y?
21. 21.The sum of two consecutive whole numbers is 117. What is the smallest of them?
22. 22.Solve: x/4 + x/3 = 56. What is x?
23. 23.The sum of three consecutive whole numbers is 105. What is the largest of them?
24. 24.The length of a rectangle is 4 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
25. 25.The length of a rectangle is 3 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
26. 26.Solve: 6(t − 3) = 4t + 22. What is t?
27. 27.Solve: 6p + 10 = p + 15. What is p?
28. 28.Solve: 5(x − 1) = 3x + 7. What is x?
29. 29.Solve: 8n + 9 = 7n + 19. What is n?
30. 30.Solve: x/4 + x/3 = 49. What is x?
31. 31.A father is 19 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
32. 32.Solve: x/6 + x/3 = 6. What is x?
33. 33.The sum of two consecutive whole numbers is 13. What is the largest of them?
34. 34.The length of a rectangle is 4 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
35. 35.Solve: 4p + 14 = p + 47. What is p?
36. 36.Solve: y/5 + y/3 = 24. What is y?
37. 37.The length of a rectangle is 13 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
38. 38.A father is 24 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?
39. 39.The length of a rectangle is 12 cm more than its width. Its perimeter is 124 cm. What is its width (in cm)?
40. 40.Solve: y/2 + y/5 = 28. What is y?

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