Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 500 · 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 34. What is the smallest of them?
2. 2.A father is 16 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
3. 3.The sum of two consecutive whole numbers is 69. What is the smallest of them?
4. 4.The sum of four consecutive whole numbers is 98. What is the largest of them?
5. 5.The length of a rectangle is 6 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
6. 6.Solve: 8t + 18 = 7t + 21. What is t?
7. 7.Solve: 3(x − 1) = 2x + 13. What is x?
8. 8.A father is 14 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
9. 9.Solve: n/4 + n/2 = 21. What is n?
10. 10.Solve: y/6 + y/5 = 33. What is y?
11. 11.The length of a rectangle is 9 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
12. 12.Solve: t/4 + t/3 = 49. What is t?
13. 13.A father is 45 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
14. 14.Solve: 3x + 13 = 2x + 17. What is x?
15. 15.Solve: 3(t − 1) = 2t + 9. What is t?
16. 16.Solve: t/2 + t/3 = 25. What is t?
17. 17.Solve: 5y + 15 = y + 67. What is y?
18. 18.Solve: 3(t − 3) = t + 1. What is t?
19. 19.Solve: x/5 + x/3 = 48. What is x?
20. 20.The length of a rectangle is 7 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
21. 21.Solve: 3m + 7 = 2m + 14. What is m?
22. 22.A father is 6 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
23. 23.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?
24. 24.The length of a rectangle is 15 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
25. 25.Solve: 6p + 20 = 2p + 32. What is p?
26. 26.The sum of four consecutive whole numbers is 226. What is the largest of them?
27. 27.Solve: 5(n − 3) = 2n + 6. What is n?
28. 28.A father is 22 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?
29. 29.A father is 18 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
30. 30.A father is 33 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?
31. 31.The sum of three consecutive whole numbers is 108. What is the largest of them?
32. 32.The sum of two consecutive whole numbers is 111. What is the smallest of them?
33. 33.The length of a rectangle is 10 cm more than its width. Its perimeter is 140 cm. What is its width (in cm)?
34. 34.The length of a rectangle is 10 cm more than its width. Its perimeter is 28 cm. What is its width (in cm)?
35. 35.A father is 12 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?
36. 36.Solve: 9y + 9 = 8y + 12. What is y?
37. 37.Solve: 4y + 9 = 3y + 10. What is y?
38. 38.The sum of three consecutive whole numbers is 144. What is the smallest of them?
39. 39.The sum of three consecutive whole numbers is 105. What is the largest of them?
40. 40.Solve: 5t + 14 = 4t + 29. What is t?

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