Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 872 · 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: x/5 + x/6 = 77. What is x?
2. 2.The sum of four consecutive whole numbers is 34. What is the largest of them?
3. 3.Solve: p/5 + p/4 = 72. What is p?
4. 4.The length of a rectangle is 14 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
5. 5.The length of a rectangle is 10 cm more than its width. Its perimeter is 84 cm. What is its width (in cm)?
6. 6.Solve: 4(m − 3) = m + 3. What is m?
7. 7.Solve: 6(x − 5) = 2x + 50. What is x?
8. 8.The length of a rectangle is 14 cm more than its width. Its perimeter is 140 cm. What is its width (in cm)?
9. 9.A father is 9 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
10. 10.The length of a rectangle is 12 cm more than its width. Its perimeter is 112 cm. What is its width (in cm)?
11. 11.Solve: 3t + 3 = 2t + 12. What is t?
12. 12.A father is 8 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
13. 13.Solve: 5n + 1 = n + 5. What is n?
14. 14.The length of a rectangle is 3 cm more than its width. Its perimeter is 18 cm. What is its width (in cm)?
15. 15.A father is 48 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?
16. 16.The sum of four consecutive whole numbers is 118. What is the smallest of them?
17. 17.Solve: x/4 + x/6 = 20. What is x?
18. 18.The sum of four consecutive whole numbers is 30. What is the smallest of them?
19. 19.A father is 24 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?
20. 20.A father is 12 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
21. 21.Solve: x/6 + x/4 = 25. What is x?
22. 22.The length of a rectangle is 4 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
23. 23.A father is 36 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?
24. 24.The sum of two consecutive whole numbers is 115. What is the smallest of them?
25. 25.Solve: n/6 + n/2 = 8. What is n?
26. 26.A father is 12 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
27. 27.The length of a rectangle is 7 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
28. 28.Solve: m/6 + m/3 = 15. What is m?
29. 29.Solve: 3x + 7 = 2x + 16. What is x?
30. 30.Solve: 4y + 14 = y + 17. What is y?
31. 31.The length of a rectangle is 11 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
32. 32.Solve: y/4 + y/5 = 72. What is y?
33. 33.Solve: 9n + 9 = 2n + 58. What is n?
34. 34.Solve: 6(t − 4) = t + 11. What is t?
35. 35.Solve: 5y + 17 = 2y + 47. What is y?
36. 36.The length of a rectangle is 3 cm more than its width. Its perimeter is 14 cm. What is its width (in cm)?
37. 37.The length of a rectangle is 3 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
38. 38.Solve: 5x + 19 = 3x + 41. What is x?
39. 39.Solve: 3n + 8 = n + 28. What is n?
40. 40.Solve: 5(n − 3) = 2n + 36. What is n?

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