Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 260 · 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 13 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
2. 2.Solve: 4(t − 1) = t + 29. What is t?
3. 3.Solve: 6(n − 4) = 4n + 4. What is n?
4. 4.A father is 16 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?
5. 5.Solve: 3n + 16 = 2n + 29. What is n?
6. 6.The length of a rectangle is 6 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
7. 7.Solve: 6(y − 5) = 2y + 10. What is y?
8. 8.The length of a rectangle is 2 cm more than its width. Its perimeter is 120 cm. What is its width (in cm)?
9. 9.Solve: p/2 + p/5 = 7. What is p?
10. 10.Solve: t/2 + t/6 = 4. What is t?
11. 11.The length of a rectangle is 11 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
12. 12.Solve: p/4 + p/5 = 18. What is p?
13. 13.Solve: 3n + 5 = 2n + 20. What is n?
14. 14.Solve: 6(p − 3) = 4p + 2. What is p?
15. 15.Solve: 8y + 3 = y + 59. What is y?
16. 16.Solve: 3m + 6 = 2m + 7. What is m?
17. 17.A father is 21 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?
18. 18.Solve: 6(x − 5) = x + 60. What is x?
19. 19.A father is 16 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
20. 20.Solve: 3(p − 2) = p + 10. What is p?
21. 21.Solve: 6(y − 4) = y + 16. What is y?
22. 22.The sum of four consecutive whole numbers is 94. What is the smallest of them?
23. 23.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?
24. 24.Solve: 5(m − 1) = 2m + 25. What is m?
25. 25.A father is 48 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
26. 26.The sum of two consecutive whole numbers is 37. What is the largest of them?
27. 27.The sum of three consecutive whole numbers is 57. What is the smallest of them?
28. 28.The length of a rectangle is 10 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
29. 29.Solve: 5(x − 2) = 4x + 9. What is x?
30. 30.The length of a rectangle is 3 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
31. 31.The length of a rectangle is 1 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
32. 32.The length of a rectangle is 5 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
33. 33.Solve: 5(t − 2) = 2t + 38. What is t?
34. 34.The sum of four consecutive whole numbers is 182. What is the smallest of them?
35. 35.The sum of two consecutive whole numbers is 35. What is the largest of them?
36. 36.A father is 12 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
37. 37.The length of a rectangle is 3 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
38. 38.Solve: 4(m − 4) = 3m + 10. What is m?
39. 39.Solve: 3(x − 4) = 2x + 4. What is x?
40. 40.Solve: 9p + 2 = 2p + 79. What is p?

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