Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 587 · 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 36 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?
2. 2.The sum of four consecutive whole numbers is 166. What is the largest of them?
3. 3.A father is 11 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
4. 4.Solve: 4(t − 1) = t + 8. What is t?
5. 5.Solve: t/4 + t/3 = 56. What is t?
6. 6.Solve: 5(y − 5) = y + 23. What is y?
7. 7.A father is 6 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?
8. 8.Solve: p/2 + p/3 = 15. What is p?
9. 9.A father is 28 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
10. 10.Solve: 4m + 15 = m + 21. What is m?
11. 11.The length of a rectangle is 9 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
12. 12.Solve: 5x + 2 = 4x + 5. What is x?
13. 13.The sum of three consecutive whole numbers is 63. What is the largest of them?
14. 14.Solve: t/5 + t/2 = 14. What is t?
15. 15.Solve: m/2 + m/4 = 18. What is m?
16. 16.Solve: x/2 + x/3 = 15. What is x?
17. 17.Solve: 5y + 9 = 2y + 48. What is y?
18. 18.Solve: 4(x − 2) = x + 31. What is x?
19. 19.The length of a rectangle is 6 cm more than its width. Its perimeter is 104 cm. What is its width (in cm)?
20. 20.The sum of two consecutive whole numbers is 79. What is the largest of them?
21. 21.Solve: m/5 + m/6 = 55. What is m?
22. 22.Solve: 5(y − 1) = 3y + 23. What is y?
23. 23.The length of a rectangle is 4 cm more than its width. Its perimeter is 76 cm. What is its width (in cm)?
24. 24.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?
25. 25.The sum of three consecutive whole numbers is 87. What is the largest of them?
26. 26.Solve: 5(n − 1) = 3n + 1. What is n?
27. 27.Solve: 6m + 5 = m + 15. What is m?
28. 28.The length of a rectangle is 14 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
29. 29.The sum of four consecutive whole numbers is 246. What is the largest of them?
30. 30.Solve: 4(x − 2) = x + 37. What is x?
31. 31.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?
32. 32.A father is 28 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
33. 33.The sum of three consecutive whole numbers is 39. What is the largest of them?
34. 34.Solve: t/2 + t/6 = 24. What is t?
35. 35.Solve: 3(n − 2) = 2n + 8. What is n?
36. 36.The length of a rectangle is 4 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
37. 37.Solve: 6(y − 5) = y + 5. What is y?
38. 38.The length of a rectangle is 15 cm more than its width. Its perimeter is 150 cm. What is its width (in cm)?
39. 39.Solve: p/3 + p/5 = 48. What is p?
40. 40.Solve: 6(x − 4) = 2x + 8. What is x?

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