Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 815 · 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.The sum of three consecutive whole numbers is 120. What is the smallest of them?
2. 2.Solve: 3(n − 2) = n + 14. What is n?
3. 3.Solve: x/3 + x/5 = 32. What is x?
4. 4.A father is 24 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
5. 5.Solve: t/4 + t/6 = 20. What is t?
6. 6.Solve: 9t + 11 = t + 27. What is t?
7. 7.Solve: 4x + 15 = 3x + 27. What is x?
8. 8.The length of a rectangle is 6 cm more than its width. Its perimeter is 64 cm. What is its width (in cm)?
9. 9.Solve: t/6 + t/2 = 28. What is t?
10. 10.The length of a rectangle is 3 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
11. 11.The length of a rectangle is 10 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
12. 12.Solve: 8n + 13 = 4n + 17. What is n?
13. 13.Solve: 3(p − 5) = p + 15. What is p?
14. 14.A father is 19 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
15. 15.Solve: 4(p − 1) = p + 26. What is p?
16. 16.A father is 36 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?
17. 17.The sum of three consecutive whole numbers is 168. What is the smallest of them?
18. 18.Solve: 3y + 1 = 2y + 14. What is y?
19. 19.The sum of two consecutive whole numbers is 107. What is the largest of them?
20. 20.A father is 38 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
21. 21.Solve: 7n + 14 = 6n + 20. What is n?
22. 22.The length of a rectangle is 11 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
23. 23.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?
24. 24.Solve: 4p + 8 = 2p + 26. What is p?
25. 25.The length of a rectangle is 14 cm more than its width. Its perimeter is 36 cm. What is its width (in cm)?
26. 26.Solve: 3(n − 2) = 2n + 6. What is n?
27. 27.The length of a rectangle is 3 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
28. 28.Solve: 5x + 11 = x + 15. What is x?
29. 29.Solve: 5(x − 3) = 4x + 2. What is x?
30. 30.The length of a rectangle is 10 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
31. 31.Solve: 5(t − 1) = t + 31. What is t?
32. 32.Solve: 6(n − 1) = 3n + 33. What is n?
33. 33.The length of a rectangle is 2 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
34. 34.Solve: y/5 + y/4 = 27. What is y?
35. 35.Solve: 3n + 12 = n + 30. What is n?
36. 36.The length of a rectangle is 11 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
37. 37.The length of a rectangle is 14 cm more than its width. Its perimeter is 112 cm. What is its width (in cm)?
38. 38.Solve: 5(m − 2) = 4m + 4. What is m?
39. 39.The length of a rectangle is 15 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
40. 40.Solve: 9x + 3 = 8x + 17. What is x?

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