Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 678 · 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.A father is 10 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?
2. 2.The sum of three consecutive whole numbers is 69. What is the largest of them?
3. 3.A father is 57 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?
4. 4.A father is 16 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?
5. 5.Solve: t/3 + t/2 = 25. What is t?
6. 6.The length of a rectangle is 4 cm more than its width. Its perimeter is 92 cm. What is its width (in cm)?
7. 7.Solve: y/4 + y/2 = 6. What is y?
8. 8.Solve: y/5 + y/2 = 7. What is y?
9. 9.The length of a rectangle is 6 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
10. 10.Solve: 5n + 9 = 2n + 42. What is n?
11. 11.Solve: x/3 + x/6 = 18. What is x?
12. 12.Solve: m/4 + m/5 = 45. What is m?
13. 13.Solve: 5y + 6 = 2y + 48. What is y?
14. 14.The length of a rectangle is 8 cm more than its width. Its perimeter is 24 cm. What is its width (in cm)?
15. 15.The sum of three consecutive whole numbers is 66. What is the smallest of them?
16. 16.Solve: 9x + 7 = 3x + 43. What is x?
17. 17.Solve: 9y + 2 = 6y + 29. What is y?
18. 18.The sum of four consecutive whole numbers is 38. What is the largest of them?
19. 19.Solve: 3(m − 4) = m + 4. What is m?
20. 20.A father is 8 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
21. 21.The length of a rectangle is 8 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
22. 22.The sum of two consecutive whole numbers is 57. What is the smallest of them?
23. 23.The sum of four consecutive whole numbers is 226. What is the largest of them?
24. 24.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?
25. 25.Solve: 6x + 3 = 2x + 7. What is x?
26. 26.The sum of two consecutive whole numbers is 61. What is the largest of them?
27. 27.Solve: 4n + 5 = n + 41. What is n?
28. 28.A father is 30 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?
29. 29.The sum of two consecutive whole numbers is 39. What is the smallest of them?
30. 30.The sum of two consecutive whole numbers is 101. What is the largest of them?
31. 31.The length of a rectangle is 10 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
32. 32.The sum of three consecutive whole numbers is 114. What is the smallest of them?
33. 33.Solve: 5(x − 3) = 2x + 6. What is x?
34. 34.Solve: 3(x − 2) = 2x + 13. What is x?
35. 35.The length of a rectangle is 15 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
36. 36.Solve: 6(m − 4) = 3m + 9. What is m?
37. 37.Solve: t/2 + t/3 = 25. What is t?
38. 38.A father is 10 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
39. 39.The length of a rectangle is 8 cm more than its width. Its perimeter is 28 cm. What is its width (in cm)?
40. 40.Solve: y/6 + y/3 = 12. What is y?

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