Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 65 · 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 length of a rectangle is 5 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
2. 2.Solve: 7n + 20 = 4n + 26. What is n?
3. 3.The sum of two consecutive whole numbers is 105. What is the smallest of them?
4. 4.Solve: 5y + 2 = 2y + 47. What is y?
5. 5.Solve: 6(x − 1) = 2x + 22. What is x?
6. 6.Solve: y/5 + y/4 = 18. What is y?
7. 7.The length of a rectangle is 2 cm more than its width. Its perimeter is 16 cm. What is its width (in cm)?
8. 8.A father is 33 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?
9. 9.Solve: 4(m − 1) = m + 29. What is m?
10. 10.A father is 24 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
11. 11.Solve: m/4 + m/3 = 49. What is m?
12. 12.A father is 36 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?
13. 13.Solve: m/6 + m/5 = 77. What is m?
14. 14.Solve: 3x + 17 = x + 43. What is x?
15. 15.Solve: n/6 + n/5 = 55. What is n?
16. 16.The sum of three consecutive whole numbers is 21. What is the largest of them?
17. 17.Solve: 5m + 4 = m + 44. What is m?
18. 18.A father is 22 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
19. 19.Solve: 4(x − 5) = 3x + 4. What is x?
20. 20.Solve: 3m + 5 = m + 9. What is m?
21. 21.Solve: x/5 + x/2 = 14. What is x?
22. 22.The length of a rectangle is 1 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
23. 23.The sum of three consecutive whole numbers is 168. What is the largest of them?
24. 24.The length of a rectangle is 3 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
25. 25.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?
26. 26.Solve: 4(t − 4) = 2t + 22. What is t?
27. 27.The length of a rectangle is 4 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
28. 28.The sum of two consecutive whole numbers is 85. What is the largest of them?
29. 29.The sum of three consecutive whole numbers is 18. What is the smallest of them?
30. 30.Solve: 7t + 14 = 2t + 19. What is t?
31. 31.Solve: y/2 + y/4 = 3. What is y?
32. 32.The sum of four consecutive whole numbers is 202. What is the smallest of them?
33. 33.A father is 30 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?
34. 34.Solve: t/5 + t/6 = 77. What is t?
35. 35.Solve: 5m + 7 = 3m + 15. What is m?
36. 36.The length of a rectangle is 10 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
37. 37.The sum of three consecutive whole numbers is 51. What is the largest of them?
38. 38.Solve: 5x + 10 = 4x + 18. What is x?
39. 39.The length of a rectangle is 4 cm more than its width. Its perimeter is 16 cm. What is its width (in cm)?
40. 40.The sum of two consecutive whole numbers is 23. What is the smallest of them?

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