Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 438 · 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: 3(x − 3) = 2x + 2. What is x?
2. 2.A father is 14 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
3. 3.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?
4. 4.Solve: 6(x − 4) = 4x + 22. What is x?
5. 5.A father is 45 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?
6. 6.The length of a rectangle is 9 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
7. 7.A father is 51 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
8. 8.Solve: 3(y − 4) = y + 14. What is y?
9. 9.Solve: 4(y − 5) = 3y + 10. What is y?
10. 10.Solve: n/4 + n/3 = 14. What is n?
11. 11.The sum of three consecutive whole numbers is 174. What is the smallest of them?
12. 12.The sum of two consecutive whole numbers is 47. What is the smallest of them?
13. 13.The length of a rectangle is 14 cm more than its width. Its perimeter is 136 cm. What is its width (in cm)?
14. 14.Solve: 3x + 4 = 2x + 13. What is x?
15. 15.The length of a rectangle is 14 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
16. 16.Solve: x/2 + x/4 = 12. What is x?
17. 17.A father is 26 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?
18. 18.Solve: 8n + 9 = 6n + 29. What is n?
19. 19.Solve: y/5 + y/2 = 56. What is y?
20. 20.The sum of three consecutive whole numbers is 78. What is the smallest of them?
21. 21.The sum of two consecutive whole numbers is 53. What is the smallest of them?
22. 22.A father is 11 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
23. 23.Solve: 5(m − 2) = 2m + 32. What is m?
24. 24.The length of a rectangle is 12 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
25. 25.The sum of three consecutive whole numbers is 111. What is the largest of them?
26. 26.Solve: 6(y − 4) = 4y + 26. What is y?
27. 27.Solve: 4n + 1 = 3n + 4. What is n?
28. 28.Solve: t/3 + t/5 = 40. What is t?
29. 29.The length of a rectangle is 8 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
30. 30.Solve: y/5 + y/3 = 24. What is y?
31. 31.A father is 36 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?
32. 32.Solve: t/2 + t/5 = 21. What is t?
33. 33.Solve: 9n + 6 = 3n + 24. What is n?
34. 34.A father is 9 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
35. 35.The length of a rectangle is 5 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
36. 36.The length of a rectangle is 13 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
37. 37.The length of a rectangle is 11 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
38. 38.Solve: 5(y − 2) = 4y + 3. What is y?
39. 39.Solve: 6(y − 3) = y + 32. What is y?
40. 40.Solve: p/6 + p/4 = 5. What is p?

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