Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 492 · 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 70. What is the smallest of them?
2. 2.Solve: x/2 + x/5 = 42. What is x?
3. 3.A father is 26 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?
4. 4.The sum of four consecutive whole numbers is 54. What is the largest of them?
5. 5.Solve: 4n + 8 = 2n + 14. What is n?
6. 6.Solve: x/6 + x/5 = 66. What is x?
7. 7.Solve: 9t + 4 = 4t + 54. What is t?
8. 8.The sum of three consecutive whole numbers is 36. What is the smallest of them?
9. 9.Solve: 9m + 20 = 6m + 50. What is m?
10. 10.A father is 54 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?
11. 11.Solve: m/3 + m/5 = 48. What is m?
12. 12.The length of a rectangle is 15 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
13. 13.Solve: m/6 + m/3 = 24. What is m?
14. 14.The length of a rectangle is 7 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
15. 15.Solve: 6(p − 1) = 3p + 9. What is p?
16. 16.The sum of three consecutive whole numbers is 177. What is the largest of them?
17. 17.Solve: 5p + 10 = 3p + 38. What is p?
18. 18.The sum of three consecutive whole numbers is 108. What is the largest of them?
19. 19.Solve: 9n + 2 = 2n + 44. What is n?
20. 20.Solve: x/2 + x/6 = 4. What is x?
21. 21.Solve: 4(t − 4) = t + 26. What is t?
22. 22.A father is 14 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?
23. 23.Solve: 6(p − 3) = 2p + 6. What is p?
24. 24.Solve: 4(x − 5) = 3x + 9. What is x?
25. 25.A father is 45 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?
26. 26.The length of a rectangle is 11 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
27. 27.A father is 54 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?
28. 28.A father is 45 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
29. 29.The length of a rectangle is 13 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
30. 30.Solve: p/4 + p/2 = 18. What is p?
31. 31.Solve: 4(x − 3) = 2x + 18. What is x?
32. 32.The length of a rectangle is 10 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
33. 33.Solve: t/3 + t/4 = 7. What is t?
34. 34.The length of a rectangle is 7 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
35. 35.Solve: m/6 + m/4 = 10. What is m?
36. 36.Solve: n/5 + n/6 = 55. What is n?
37. 37.The sum of two consecutive whole numbers is 61. What is the largest of them?
38. 38.A father is 5 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 sum of three consecutive whole numbers is 153. What is the smallest of them?
40. 40.Solve: m/4 + m/3 = 7. What is m?

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