Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 337 · 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: 7n + 14 = 2n + 79. What is n?
2. 2.Solve: 8p + 16 = 3p + 86. What is p?
3. 3.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?
4. 4.Solve: 6(x − 1) = x + 9. What is x?
5. 5.Solve: 6(p − 1) = 2p + 50. What is p?
6. 6.The length of a rectangle is 1 cm more than its width. Its perimeter is 18 cm. What is its width (in cm)?
7. 7.The length of a rectangle is 14 cm more than its width. Its perimeter is 56 cm. What is its width (in cm)?
8. 8.A father is 10 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.Solve: 4(m − 1) = 2m + 18. What is m?
10. 10.A father is 33 years older than his son. In 4 years, the father will be four times as old as his son. How old is the son now?
11. 11.Solve: n/2 + n/5 = 49. What is n?
12. 12.The length of a rectangle is 15 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
13. 13.Solve: 6t + 17 = 2t + 41. What is t?
14. 14.Solve: 6p + 17 = p + 32. What is p?
15. 15.A father is 12 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
16. 16.Solve: 4(y − 4) = 2y + 24. What is y?
17. 17.Solve: 3(y − 3) = y + 17. What is y?
18. 18.The sum of four consecutive whole numbers is 246. What is the smallest of them?
19. 19.The length of a rectangle is 1 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
20. 20.Solve: 5(p − 4) = 2p + 16. What is p?
21. 21.A father is 10 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
22. 22.The sum of two consecutive whole numbers is 105. What is the smallest of them?
23. 23.The length of a rectangle is 10 cm more than its width. Its perimeter is 140 cm. What is its width (in cm)?
24. 24.Solve: 5(t − 2) = 2t + 29. What is t?
25. 25.A father is 11 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
26. 26.A father is 10 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
27. 27.Solve: 9x + 13 = 5x + 21. What is x?
28. 28.The length of a rectangle is 7 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
29. 29.The length of a rectangle is 13 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
30. 30.The length of a rectangle is 7 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
31. 31.Solve: 4y + 9 = 3y + 13. What is y?
32. 32.Solve: 5m + 17 = 3m + 25. What is m?
33. 33.Solve: t/6 + t/5 = 33. What is t?
34. 34.The length of a rectangle is 14 cm more than its width. Its perimeter is 104 cm. What is its width (in cm)?
35. 35.The length of a rectangle is 10 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
36. 36.Solve: 5x + 1 = x + 5. What is x?
37. 37.Solve: 6x + 18 = 4x + 44. What is x?
38. 38.Solve: 4(x − 1) = 3x + 2. What is x?
39. 39.A father is 60 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?
40. 40.Solve: x/4 + x/2 = 12. What is x?

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