Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 513 · 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 70 cm. What is its width (in cm)?
2. 2.Solve: 6(p − 4) = 5p + 12. What is p?
3. 3.A father is 8 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
4. 4.The length of a rectangle is 3 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
5. 5.The sum of two consecutive whole numbers is 43. What is the largest of them?
6. 6.The length of a rectangle is 11 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
7. 7.Solve: n/3 + n/6 = 18. What is n?
8. 8.The sum of four consecutive whole numbers is 166. What is the largest of them?
9. 9.Solve: x/4 + x/2 = 9. What is x?
10. 10.A father is 26 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?
11. 11.Solve: 3(x − 4) = x + 10. What is x?
12. 12.A father is 33 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?
13. 13.Solve: p/5 + p/2 = 7. What is p?
14. 14.The length of a rectangle is 1 cm more than its width. Its perimeter is 18 cm. What is its width (in cm)?
15. 15.Solve: 5(m − 1) = 2m + 25. What is m?
16. 16.Solve: 3(x − 4) = x + 14. What is x?
17. 17.The sum of two consecutive whole numbers is 105. What is the largest of them?
18. 18.Solve: 9y + 10 = 6y + 43. What is y?
19. 19.Solve: t/6 + t/4 = 5. What is t?
20. 20.Solve: 4t + 18 = t + 63. What is t?
21. 21.A father is 24 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?
22. 22.The sum of four consecutive whole numbers is 242. What is the smallest of them?
23. 23.The length of a rectangle is 1 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
24. 24.Solve: 3(p − 1) = 2p + 8. What is p?
25. 25.The sum of two consecutive whole numbers is 97. What is the smallest of them?
26. 26.Solve: 5(p − 4) = 4p + 2. What is p?
27. 27.Solve: n/2 + n/3 = 35. What is n?
28. 28.Solve: 8p + 4 = 6p + 12. What is p?
29. 29.The sum of three consecutive whole numbers is 24. What is the largest of them?
30. 30.The length of a rectangle is 1 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
31. 31.The sum of two consecutive whole numbers is 59. What is the smallest of them?
32. 32.Solve: 3(t − 1) = 2t + 10. What is t?
33. 33.Solve: 4p + 20 = 3p + 24. What is p?
34. 34.Solve: y/4 + y/3 = 56. What is y?
35. 35.The sum of two consecutive whole numbers is 89. What is the largest of them?
36. 36.The sum of four consecutive whole numbers is 54. What is the largest of them?
37. 37.Solve: t/5 + t/2 = 35. What is t?
38. 38.Solve: n/3 + n/4 = 35. What is n?
39. 39.A father is 51 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?
40. 40.The sum of four consecutive whole numbers is 186. What is the largest of them?

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