Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 504 · 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 sum of four consecutive whole numbers is 242. What is the smallest of them?
2. 2.A father is 6 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
3. 3.Solve: n/5 + n/4 = 72. What is n?
4. 4.Solve: 6(m − 1) = 2m + 2. What is m?
5. 5.The length of a rectangle is 8 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
6. 6.The sum of three consecutive whole numbers is 114. What is the largest of them?
7. 7.A father is 42 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
8. 8.Solve: x/4 + x/5 = 63. What is x?
9. 9.Solve: 7t + 20 = 2t + 30. What is t?
10. 10.The length of a rectangle is 1 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
11. 11.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?
12. 12.The sum of four consecutive whole numbers is 158. What is the smallest of them?
13. 13.A father is 15 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?
14. 14.The sum of two consecutive whole numbers is 41. What is the smallest of them?
15. 15.The sum of two consecutive whole numbers is 27. What is the largest of them?
16. 16.Solve: 6p + 16 = p + 66. What is p?
17. 17.Solve: 3(y − 2) = 2y + 11. What is y?
18. 18.The length of a rectangle is 2 cm more than its width. Its perimeter is 12 cm. What is its width (in cm)?
19. 19.Solve: 5(n − 1) = 4n + 11. What is n?
20. 20.The sum of two consecutive whole numbers is 23. What is the largest of them?
21. 21.Solve: 9y + 2 = 2y + 9. What is y?
22. 22.Solve: x/4 + x/3 = 56. What is x?
23. 23.The length of a rectangle is 9 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
24. 24.A father is 33 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
25. 25.Solve: 4y + 2 = 2y + 6. What is y?
26. 26.The length of a rectangle is 13 cm more than its width. Its perimeter is 130 cm. What is its width (in cm)?
27. 27.The sum of four consecutive whole numbers is 234. What is the largest of them?
28. 28.A father is 16 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
29. 29.The sum of two consecutive whole numbers is 87. What is the largest of them?
30. 30.Solve: x/2 + x/3 = 40. What is x?
31. 31.The length of a rectangle is 13 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
32. 32.Solve: y/4 + y/5 = 63. What is y?
33. 33.The sum of four consecutive whole numbers is 90. What is the smallest of them?
34. 34.Solve: 4n + 8 = 3n + 14. What is n?
35. 35.The length of a rectangle is 12 cm more than its width. Its perimeter is 132 cm. What is its width (in cm)?
36. 36.Solve: 5p + 17 = p + 77. What is p?
37. 37.Solve: 5(n − 5) = n + 3. What is n?
38. 38.Solve: 8m + 10 = 2m + 40. What is m?
39. 39.The sum of four consecutive whole numbers is 130. What is the smallest of them?
40. 40.The length of a rectangle is 11 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?

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