Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 345 · 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.Solve: 3(y − 4) = y + 4. What is y?
2. 2.The length of a rectangle is 10 cm more than its width. Its perimeter is 72 cm. What is its width (in cm)?
3. 3.The length of a rectangle is 1 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
4. 4.The sum of two consecutive whole numbers is 65. What is the smallest of them?
5. 5.A father is 10 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?
6. 6.Solve: 3y + 15 = 2y + 18. What is y?
7. 7.Solve: 9p + 2 = 6p + 8. What is p?
8. 8.A father is 20 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?
9. 9.Solve: 4(t − 1) = 3t + 10. What is t?
10. 10.The length of a rectangle is 7 cm more than its width. Its perimeter is 22 cm. What is its width (in cm)?
11. 11.A father is 28 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
12. 12.Solve: p/3 + p/5 = 32. What is p?
13. 13.The sum of four consecutive whole numbers is 206. What is the largest of them?
14. 14.The length of a rectangle is 2 cm more than its width. Its perimeter is 20 cm. What is its width (in cm)?
15. 15.The length of a rectangle is 2 cm more than its width. Its perimeter is 120 cm. What is its width (in cm)?
16. 16.The length of a rectangle is 14 cm more than its width. Its perimeter is 104 cm. What is its width (in cm)?
17. 17.The sum of three consecutive whole numbers is 48. What is the largest of them?
18. 18.Solve: 6(n − 3) = 4n + 10. What is n?
19. 19.Solve: 4t + 8 = 2t + 34. What is t?
20. 20.Solve: 8x + 10 = x + 31. What is x?
21. 21.The sum of four consecutive whole numbers is 234. What is the smallest of them?
22. 22.Solve: t/3 + t/5 = 32. What is t?
23. 23.Solve: y/4 + y/2 = 21. What is y?
24. 24.Solve: 6(p − 3) = 2p + 26. What is p?
25. 25.Solve: 8m + 2 = 4m + 34. What is m?
26. 26.The length of a rectangle is 8 cm more than its width. Its perimeter is 24 cm. What is its width (in cm)?
27. 27.A father is 22 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
28. 28.Solve: 8y + 1 = 5y + 22. What is y?
29. 29.Solve: 7n + 3 = 2n + 23. What is n?
30. 30.Solve: 3(p − 4) = p + 10. What is p?
31. 31.The sum of four consecutive whole numbers is 66. What is the largest of them?
32. 32.Solve: t/3 + t/6 = 15. What is t?
33. 33.The sum of two consecutive whole numbers is 95. What is the smallest of them?
34. 34.Solve: y/2 + y/3 = 10. What is y?
35. 35.The sum of three consecutive whole numbers is 36. What is the smallest of them?
36. 36.Solve: y/2 + y/5 = 49. What is y?
37. 37.The sum of four consecutive whole numbers is 54. What is the smallest of them?
38. 38.The sum of two consecutive whole numbers is 87. What is the smallest of them?
39. 39.The length of a rectangle is 13 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
40. 40.The sum of four consecutive whole numbers is 202. What is the smallest of them?

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