Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 776 · 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 three consecutive whole numbers is 84. What is the largest of them?
2. 2.Solve: 7x + 16 = 2x + 31. What is x?
3. 3.The sum of four consecutive whole numbers is 58. What is the smallest of them?
4. 4.Solve: m/4 + m/6 = 10. What is m?
5. 5.The sum of two consecutive whole numbers is 47. What is the largest of them?
6. 6.Solve: 3y + 5 = 2y + 15. What is y?
7. 7.Solve: 8n + 7 = 4n + 63. What is n?
8. 8.The length of a rectangle is 2 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
9. 9.Solve: n/6 + n/3 = 24. What is n?
10. 10.The sum of two consecutive whole numbers is 23. What is the largest of them?
11. 11.Solve: n/4 + n/6 = 10. What is n?
12. 12.Solve: 5n + 2 = 4n + 16. What is n?
13. 13.Solve: 4(n − 3) = 2n + 16. What is n?
14. 14.The sum of three consecutive whole numbers is 66. What is the largest of them?
15. 15.A father is 12 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?
16. 16.The length of a rectangle is 6 cm more than its width. Its perimeter is 64 cm. What is its width (in cm)?
17. 17.The sum of four consecutive whole numbers is 38. What is the largest of them?
18. 18.A father is 45 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?
19. 19.A father is 22 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?
20. 20.The length of a rectangle is 14 cm more than its width. Its perimeter is 56 cm. What is its width (in cm)?
21. 21.Solve: 5n + 16 = 3n + 46. What is n?
22. 22.Solve: 4(n − 2) = 2n + 2. What is n?
23. 23.Solve: 3(t − 4) = 2t + 2. What is t?
24. 24.Solve: 4(y − 2) = y + 22. What is y?
25. 25.Solve: 8t + 11 = 7t + 21. What is t?
26. 26.Solve: 8n + 13 = 4n + 57. What is n?
27. 27.The length of a rectangle is 3 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
28. 28.The sum of four consecutive whole numbers is 50. What is the largest of them?
29. 29.Solve: 8x + 12 = 5x + 30. What is x?
30. 30.Solve: 3(m − 3) = m + 25. What is m?
31. 31.The sum of two consecutive whole numbers is 93. What is the smallest of them?
32. 32.The length of a rectangle is 15 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
33. 33.The sum of four consecutive whole numbers is 66. What is the smallest of them?
34. 34.A father is 24 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
35. 35.The sum of three consecutive whole numbers is 102. What is the largest of them?
36. 36.The sum of three consecutive whole numbers is 126. What is the largest of them?
37. 37.A father is 24 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
38. 38.The sum of two consecutive whole numbers is 13. What is the largest of them?
39. 39.The length of a rectangle is 8 cm more than its width. Its perimeter is 24 cm. What is its width (in cm)?
40. 40.A father is 21 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?

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