Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 813 · 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 11 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
2. 2.The sum of two consecutive whole numbers is 39. What is the largest of them?
3. 3.The length of a rectangle is 12 cm more than its width. Its perimeter is 132 cm. What is its width (in cm)?
4. 4.A father is 36 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?
5. 5.The length of a rectangle is 4 cm more than its width. Its perimeter is 16 cm. What is its width (in cm)?
6. 6.Solve: 4(t − 2) = 2t + 8. What is t?
7. 7.The length of a rectangle is 12 cm more than its width. Its perimeter is 136 cm. What is its width (in cm)?
8. 8.A father is 6 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
9. 9.The length of a rectangle is 2 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
10. 10.Solve: 4(t − 3) = t + 24. What is t?
11. 11.A father is 8 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
12. 12.Solve: 4(x − 4) = x + 5. What is x?
13. 13.Solve: 6t + 3 = 4t + 29. What is t?
14. 14.Solve: m/2 + m/6 = 32. What is m?
15. 15.Solve: 6(n − 4) = 3n + 27. What is n?
16. 16.Solve: x/6 + x/3 = 18. What is x?
17. 17.Solve: p/2 + p/4 = 9. What is p?
18. 18.Solve: 3m + 5 = m + 29. What is m?
19. 19.Solve: m/3 + m/4 = 28. What is m?
20. 20.Solve: 6(p − 2) = p + 8. What is p?
21. 21.The sum of four consecutive whole numbers is 102. What is the largest of them?
22. 22.The length of a rectangle is 1 cm more than its width. Its perimeter is 22 cm. What is its width (in cm)?
23. 23.Solve: n/4 + n/3 = 42. What is n?
24. 24.A father is 13 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
25. 25.The sum of three consecutive whole numbers is 141. What is the smallest of them?
26. 26.Solve: n/3 + n/4 = 56. What is n?
27. 27.A father is 17 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
28. 28.Solve: 4(x − 4) = 3x + 2. What is x?
29. 29.Solve: 6(x − 1) = 3x + 15. What is x?
30. 30.Solve: 3(n − 1) = n + 7. What is n?
31. 31.The length of a rectangle is 2 cm more than its width. Its perimeter is 28 cm. What is its width (in cm)?
32. 32.The length of a rectangle is 11 cm more than its width. Its perimeter is 142 cm. What is its width (in cm)?
33. 33.A father is 12 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
34. 34.The sum of two consecutive whole numbers is 67. What is the largest of them?
35. 35.Solve: 4p + 18 = 2p + 42. What is p?
36. 36.Solve: 9n + 5 = 7n + 25. What is n?
37. 37.Solve: 3y + 10 = 2y + 18. What is y?
38. 38.A father is 30 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?
39. 39.Solve: 6(t − 4) = 2t + 48. What is t?
40. 40.The length of a rectangle is 5 cm more than its width. Its perimeter is 22 cm. What is its width (in cm)?

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