Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 344 · 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: 6(n − 2) = n + 48. What is n?
2. 2.The sum of four consecutive whole numbers is 166. What is the largest of them?
3. 3.Solve: 3(x − 3) = x + 3. What is x?
4. 4.Solve: 3p + 20 = p + 26. What is p?
5. 5.Solve: 8n + 4 = 5n + 34. What is n?
6. 6.Solve: p/4 + p/2 = 9. What is p?
7. 7.Solve: 5n + 7 = 3n + 31. What is n?
8. 8.The length of a rectangle is 8 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
9. 9.Solve: 6(m − 4) = m + 46. What is m?
10. 10.The sum of two consecutive whole numbers is 29. What is the largest of them?
11. 11.Solve: 7p + 16 = 4p + 49. What is p?
12. 12.A father is 36 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?
13. 13.The sum of two consecutive whole numbers is 117. What is the smallest of them?
14. 14.The sum of four consecutive whole numbers is 194. What is the largest of them?
15. 15.Solve: 3(x − 4) = x + 18. What is x?
16. 16.A father is 30 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?
17. 17.The sum of three consecutive whole numbers is 114. What is the smallest of them?
18. 18.The sum of three consecutive whole numbers is 81. What is the largest of them?
19. 19.Solve: y/6 + y/3 = 18. What is y?
20. 20.A father is 24 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?
21. 21.Solve: p/2 + p/6 = 28. What is p?
22. 22.The length of a rectangle is 8 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
23. 23.Solve: p/2 + p/5 = 42. What is p?
24. 24.The sum of four consecutive whole numbers is 194. What is the smallest of them?
25. 25.The length of a rectangle is 8 cm more than its width. Its perimeter is 104 cm. What is its width (in cm)?
26. 26.The length of a rectangle is 11 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
27. 27.Solve: 9n + 8 = 5n + 40. What is n?
28. 28.The length of a rectangle is 7 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
29. 29.A father is 51 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?
30. 30.The sum of two consecutive whole numbers is 13. What is the smallest of them?
31. 31.Solve: 4(y − 4) = 2y + 10. What is y?
32. 32.Solve: 6t + 11 = 2t + 71. What is t?
33. 33.Solve: 3(x − 4) = x + 20. What is x?
34. 34.The length of a rectangle is 7 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
35. 35.The length of a rectangle is 10 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
36. 36.The sum of four consecutive whole numbers is 78. What is the largest of them?
37. 37.The length of a rectangle is 15 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
38. 38.Solve: 8y + 14 = 3y + 19. What is y?
39. 39.Solve: 8p + 8 = 7p + 19. What is p?
40. 40.The sum of two consecutive whole numbers is 93. What is the largest of them?

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