Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 414 · 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.A father is 13 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
2. 2.A father is 39 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
3. 3.The length of a rectangle is 8 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
4. 4.Solve: t/4 + t/5 = 63. What is t?
5. 5.Solve: 3t + 3 = 2t + 5. What is t?
6. 6.Solve: 3(m − 4) = 2m + 3. What is m?
7. 7.Solve: 6(t − 2) = 4t + 24. What is t?
8. 8.Solve: x/2 + x/3 = 35. What is x?
9. 9.A father is 16 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
10. 10.A father is 5 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
11. 11.The length of a rectangle is 4 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
12. 12.Solve: 4(y − 2) = 2y + 12. What is y?
13. 13.Solve: y/5 + y/2 = 7. What is y?
14. 14.The sum of three consecutive whole numbers is 123. What is the smallest of them?
15. 15.Solve: x/2 + x/6 = 32. What is x?
16. 16.The length of a rectangle is 8 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
17. 17.A father is 14 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?
18. 18.Solve: 8x + 9 = x + 86. What is x?
19. 19.The length of a rectangle is 6 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
20. 20.Solve: n/6 + n/5 = 77. What is n?
21. 21.The sum of two consecutive whole numbers is 85. What is the smallest of them?
22. 22.Solve: x/3 + x/5 = 64. What is x?
23. 23.Solve: 3(m − 4) = 2m + 10. What is m?
24. 24.A father is 33 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?
25. 25.The length of a rectangle is 3 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
26. 26.The length of a rectangle is 8 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
27. 27.Solve: 7y + 7 = 5y + 33. What is y?
28. 28.A father is 36 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?
29. 29.The length of a rectangle is 8 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
30. 30.Solve: 3(p − 2) = p + 22. What is p?
31. 31.Solve: n/2 + n/3 = 30. What is n?
32. 32.The length of a rectangle is 14 cm more than its width. Its perimeter is 36 cm. What is its width (in cm)?
33. 33.The length of a rectangle is 2 cm more than its width. Its perimeter is 12 cm. What is its width (in cm)?
34. 34.Solve: 6(x − 2) = x + 18. What is x?
35. 35.Solve: 8t + 13 = 5t + 40. What is t?
36. 36.Solve: 6t + 8 = 4t + 36. What is t?
37. 37.Solve: 6m + 17 = 5m + 25. What is m?
38. 38.Solve: 8m + 2 = 7m + 7. What is m?
39. 39.The sum of three consecutive whole numbers is 57. What is the largest of them?
40. 40.Solve: 3m + 9 = 2m + 22. What is m?

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