Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 216 · 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 39 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?
2. 2.The sum of three consecutive whole numbers is 165. What is the largest of them?
3. 3.A father is 20 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?
4. 4.The sum of four consecutive whole numbers is 174. What is the smallest of them?
5. 5.The length of a rectangle is 15 cm more than its width. Its perimeter is 138 cm. What is its width (in cm)?
6. 6.Solve: 3m + 3 = 2m + 17. What is m?
7. 7.Solve: p/3 + p/5 = 48. What is p?
8. 8.Solve: 5n + 14 = n + 74. What is n?
9. 9.Solve: x/4 + x/3 = 56. What is x?
10. 10.The sum of two consecutive whole numbers is 59. What is the largest of them?
11. 11.The sum of two consecutive whole numbers is 17. What is the largest of them?
12. 12.The length of a rectangle is 3 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
13. 13.Solve: 5(t − 2) = 2t + 11. What is t?
14. 14.Solve: 5n + 2 = 2n + 38. What is n?
15. 15.A father is 39 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?
16. 16.Solve: 6(n − 3) = 3n + 18. What is n?
17. 17.The length of a rectangle is 10 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
18. 18.Solve: t/3 + t/2 = 35. What is t?
19. 19.Solve: 7y + 1 = y + 43. What is y?
20. 20.A father is 30 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?
21. 21.The length of a rectangle is 15 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
22. 22.A father is 16 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
23. 23.A father is 22 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?
24. 24.A father is 22 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?
25. 25.A father is 13 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
26. 26.Solve: m/4 + m/5 = 54. What is m?
27. 27.Solve: 5(n − 3) = 2n + 27. What is n?
28. 28.Solve: y/4 + y/6 = 40. What is y?
29. 29.The length of a rectangle is 9 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
30. 30.Solve: x/5 + x/2 = 14. What is x?
31. 31.Solve: 3y + 12 = 2y + 13. What is y?
32. 32.Solve: 3x + 4 = 2x + 17. What is x?
33. 33.Solve: p/2 + p/4 = 21. What is p?
34. 34.The length of a rectangle is 13 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
35. 35.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?
36. 36.The sum of two consecutive whole numbers is 49. What is the largest of them?
37. 37.Solve: 5(x − 2) = 4x + 7. What is x?
38. 38.Solve: 9m + 6 = m + 22. What is m?
39. 39.Solve: 5(y − 2) = y + 26. What is y?
40. 40.Solve: 4m + 2 = m + 35. What is m?

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