Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 995 · 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.A father is 24 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
2. 2.A father is 32 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?
3. 3.The length of a rectangle is 2 cm more than its width. Its perimeter is 112 cm. What is its width (in cm)?
4. 4.The length of a rectangle is 1 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
5. 5.The length of a rectangle is 8 cm more than its width. Its perimeter is 112 cm. What is its width (in cm)?
6. 6.A father is 15 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
7. 7.Solve: 3t + 19 = 2t + 22. What is t?
8. 8.Solve: 5m + 8 = 2m + 14. What is m?
9. 9.A father is 5 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
10. 10.Solve: 5(t − 1) = t + 51. What is t?
11. 11.The sum of four consecutive whole numbers is 30. What is the largest of them?
12. 12.Solve: 9n + 13 = 4n + 83. What is n?
13. 13.The length of a rectangle is 2 cm more than its width. Its perimeter is 72 cm. What is its width (in cm)?
14. 14.The sum of two consecutive whole numbers is 23. What is the largest of them?
15. 15.Solve: t/2 + t/4 = 24. What is t?
16. 16.Solve: t/5 + t/4 = 45. What is t?
17. 17.A father is 28 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.The length of a rectangle is 1 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
19. 19.Solve: 9t + 4 = 6t + 40. What is t?
20. 20.The length of a rectangle is 1 cm more than its width. Its perimeter is 14 cm. What is its width (in cm)?
21. 21.The length of a rectangle is 1 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
22. 22.Solve: 5(n − 1) = 4n + 10. What is n?
23. 23.Solve: 6(y − 1) = 4y + 18. What is y?
24. 24.Solve: 3(x − 5) = x + 9. What is x?
25. 25.Solve: x/3 + x/2 = 40. What is x?
26. 26.Solve: 6(n − 1) = 2n + 14. What is n?
27. 27.Solve: 6(n − 2) = n + 18. What is n?
28. 28.Solve: 3x + 4 = x + 14. What is x?
29. 29.The length of a rectangle is 2 cm more than its width. Its perimeter is 16 cm. What is its width (in cm)?
30. 30.The sum of three consecutive whole numbers is 18. What is the smallest of them?
31. 31.The length of a rectangle is 4 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
32. 32.Solve: 6m + 4 = 2m + 48. What is m?
33. 33.Solve: 6(t − 5) = t + 50. What is t?
34. 34.Solve: 7m + 20 = 3m + 40. What is m?
35. 35.The length of a rectangle is 11 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
36. 36.Solve: t/3 + t/5 = 24. What is t?
37. 37.The length of a rectangle is 13 cm more than its width. Its perimeter is 142 cm. What is its width (in cm)?
38. 38.Solve: 5(m − 3) = 3m + 13. What is m?
39. 39.A father is 27 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?
40. 40.Solve: t/5 + t/2 = 14. What is t?

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