Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 617 · 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 10 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
2. 2.A father is 36 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?
3. 3.Solve: x/6 + x/3 = 9. What is x?
4. 4.Solve: t/2 + t/6 = 32. What is t?
5. 5.Solve: 4(m − 2) = 3m + 9. What is m?
6. 6.A father is 26 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
7. 7.Solve: 9n + 7 = 5n + 11. What is n?
8. 8.Solve: 7m + 11 = 2m + 41. What is m?
9. 9.The sum of two consecutive whole numbers is 93. What is the largest of them?
10. 10.A father is 27 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?
11. 11.The length of a rectangle is 6 cm more than its width. Its perimeter is 24 cm. What is its width (in cm)?
12. 12.The length of a rectangle is 9 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
13. 13.A father is 45 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?
14. 14.Solve: p/5 + p/3 = 48. What is p?
15. 15.The sum of four consecutive whole numbers is 242. What is the smallest of them?
16. 16.Solve: 6(p − 4) = p + 21. What is p?
17. 17.The length of a rectangle is 13 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
18. 18.Solve: n/2 + n/6 = 8. What is n?
19. 19.The sum of four consecutive whole numbers is 246. What is the largest of them?
20. 20.The length of a rectangle is 2 cm more than its width. Its perimeter is 20 cm. What is its width (in cm)?
21. 21.The length of a rectangle is 2 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
22. 22.A father is 15 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
23. 23.The length of a rectangle is 5 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
24. 24.Solve: 5(t − 4) = 2t + 22. What is t?
25. 25.The length of a rectangle is 12 cm more than its width. Its perimeter is 64 cm. What is its width (in cm)?
26. 26.The length of a rectangle is 2 cm more than its width. Its perimeter is 76 cm. What is its width (in cm)?
27. 27.Solve: t/3 + t/5 = 32. What is t?
28. 28.The sum of four consecutive whole numbers is 142. What is the smallest of them?
29. 29.Solve: 3(t − 3) = 2t + 4. What is t?
30. 30.Solve: 3y + 15 = y + 23. What is y?
31. 31.The sum of three consecutive whole numbers is 168. What is the smallest of them?
32. 32.The length of a rectangle is 9 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
33. 33.Solve: 6(y − 4) = 2y + 40. What is y?
34. 34.The length of a rectangle is 6 cm more than its width. Its perimeter is 28 cm. What is its width (in cm)?
35. 35.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?
36. 36.Solve: 6m + 4 = m + 44. What is m?
37. 37.Solve: 6(t − 2) = t + 63. What is t?
38. 38.Solve: 5(t − 3) = t + 1. What is t?
39. 39.A father is 18 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
40. 40.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?

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