Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 553 · 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.Solve: 5(t − 4) = 4t + 8. What is t?
3. 3.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?
4. 4.A father is 24 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
5. 5.The sum of four consecutive whole numbers is 178. What is the smallest of them?
6. 6.Solve: y/6 + y/2 = 20. What is y?
7. 7.The length of a rectangle is 11 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
8. 8.A father is 24 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?
9. 9.Solve: 6(y − 2) = 3y + 6. What is y?
10. 10.Solve: 6(t − 5) = 4t + 14. What is t?
11. 11.Solve: 3n + 14 = 2n + 19. What is n?
12. 12.The sum of four consecutive whole numbers is 142. What is the largest of them?
13. 13.Solve: p/3 + p/2 = 30. What is p?
14. 14.The sum of four consecutive whole numbers is 46. What is the largest of them?
15. 15.Solve: 9m + 19 = 3m + 49. What is m?
16. 16.Solve: m/2 + m/3 = 5. What is m?
17. 17.The length of a rectangle is 7 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
18. 18.The length of a rectangle is 15 cm more than its width. Its perimeter is 134 cm. What is its width (in cm)?
19. 19.The sum of three consecutive whole numbers is 63. What is the smallest of them?
20. 20.Solve: 6t + 5 = 5t + 12. What is t?
21. 21.Solve: 3x + 19 = x + 25. What is x?
22. 22.Solve: 8y + 6 = 4y + 14. What is y?
23. 23.Solve: 4m + 18 = m + 57. What is m?
24. 24.The sum of two consecutive whole numbers is 119. What is the smallest of them?
25. 25.Solve: 4(p − 3) = 2p + 6. What is p?
26. 26.The sum of four consecutive whole numbers is 198. What is the smallest of them?
27. 27.The length of a rectangle is 5 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
28. 28.Solve: 6m + 1 = 4m + 11. What is m?
29. 29.The length of a rectangle is 12 cm more than its width. Its perimeter is 120 cm. What is its width (in cm)?
30. 30.The sum of four consecutive whole numbers is 86. What is the smallest of them?
31. 31.The length of a rectangle is 14 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
32. 32.The length of a rectangle is 10 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
33. 33.Solve: n/3 + n/5 = 40. What is n?
34. 34.A father is 54 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?
35. 35.Solve: 4(m − 1) = m + 38. What is m?
36. 36.Solve: x/3 + x/6 = 9. What is x?
37. 37.Solve: 3(x − 1) = x + 11. What is x?
38. 38.The length of a rectangle is 4 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
39. 39.Solve: 5(m − 4) = 2m + 13. What is m?
40. 40.Solve: 5(n − 4) = 2n + 31. What is n?

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