Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 212 · 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.Solve: 4(n − 4) = 3n + 5. What is n?
2. 2.The sum of four consecutive whole numbers is 198. What is the largest of them?
3. 3.Solve: 4x + 2 = x + 23. What is x?
4. 4.A father is 18 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
5. 5.The length of a rectangle is 1 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
6. 6.Solve: 5(m − 3) = 2m + 24. What is m?
7. 7.The sum of three consecutive whole numbers is 84. What is the smallest of them?
8. 8.Solve: 7x + 1 = 3x + 17. What is x?
9. 9.The length of a rectangle is 1 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
10. 10.Solve: t/3 + t/2 = 40. What is t?
11. 11.Solve: 3m + 15 = 2m + 23. What is m?
12. 12.Solve: 8n + 9 = n + 72. What is n?
13. 13.Solve: 8t + 17 = 5t + 59. What is t?
14. 14.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?
15. 15.The length of a rectangle is 5 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
16. 16.The length of a rectangle is 14 cm more than its width. Its perimeter is 36 cm. What is its width (in cm)?
17. 17.Solve: 6(n − 4) = 5n + 3. What is n?
18. 18.Solve: 9x + 7 = 7x + 21. What is x?
19. 19.The sum of three consecutive whole numbers is 54. What is the smallest of them?
20. 20.Solve: 4(t − 3) = 2t + 10. What is t?
21. 21.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?
22. 22.The length of a rectangle is 11 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
23. 23.The length of a rectangle is 7 cm more than its width. Its perimeter is 130 cm. What is its width (in cm)?
24. 24.The sum of four consecutive whole numbers is 130. What is the smallest of them?
25. 25.Solve: 3(x − 5) = 2x + 5. What is x?
26. 26.The sum of four consecutive whole numbers is 186. What is the largest of them?
27. 27.The length of a rectangle is 13 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
28. 28.The sum of four consecutive whole numbers is 146. What is the largest of them?
29. 29.Solve: 5x + 14 = 4x + 16. What is x?
30. 30.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?
31. 31.Solve: 4p + 5 = p + 41. What is p?
32. 32.The sum of four consecutive whole numbers is 102. What is the largest of them?
33. 33.A father is 10 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
34. 34.The length of a rectangle is 1 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
35. 35.Solve: 3p + 17 = 2p + 29. What is p?
36. 36.Solve: m/3 + m/5 = 48. What is m?
37. 37.Solve: 5n + 15 = n + 31. What is n?
38. 38.Solve: n/3 + n/5 = 40. What is n?
39. 39.The sum of three consecutive whole numbers is 45. What is the largest of them?
40. 40.Solve: 4y + 17 = y + 26. What is y?

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