Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 643 · 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.Solve: n/2 + n/6 = 12. What is n?
2. 2.A father is 27 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?
3. 3.A father is 28 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?
4. 4.The sum of two consecutive whole numbers is 53. What is the largest of them?
5. 5.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?
6. 6.Solve: n/4 + n/3 = 49. What is n?
7. 7.The sum of two consecutive whole numbers is 115. What is the smallest of them?
8. 8.Solve: t/5 + t/2 = 21. What is t?
9. 9.Solve: 3x + 10 = 2x + 14. What is x?
10. 10.Solve: 7y + 16 = y + 88. What is y?
11. 11.A father is 14 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?
12. 12.The sum of three consecutive whole numbers is 45. What is the smallest of them?
13. 13.The length of a rectangle is 5 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
14. 14.Solve: 7p + 10 = 4p + 19. What is p?
15. 15.Solve: 3(x − 4) = x + 8. What is x?
16. 16.A father is 36 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?
17. 17.The sum of two consecutive whole numbers is 97. What is the smallest of them?
18. 18.Solve: 5(t − 4) = 3t + 10. What is t?
19. 19.The length of a rectangle is 13 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
20. 20.The sum of three consecutive whole numbers is 165. What is the smallest of them?
21. 21.The sum of two consecutive whole numbers is 49. What is the smallest of them?
22. 22.Solve: 3(y − 2) = y + 18. What is y?
23. 23.Solve: 3t + 13 = t + 21. What is t?
24. 24.The sum of two consecutive whole numbers is 57. What is the smallest of them?
25. 25.A father is 39 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?
26. 26.Solve: x/5 + x/2 = 7. What is x?
27. 27.Solve: 3(m − 3) = m + 17. What is m?
28. 28.The length of a rectangle is 10 cm more than its width. Its perimeter is 64 cm. What is its width (in cm)?
29. 29.Solve: 6(m − 3) = 5m + 7. What is m?
30. 30.Solve: 7n + 12 = 4n + 24. What is n?
31. 31.The length of a rectangle is 1 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
32. 32.Solve: n/3 + n/4 = 14. What is n?
33. 33.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?
34. 34.Solve: y/6 + y/4 = 35. What is y?
35. 35.A father is 22 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?
36. 36.The sum of two consecutive whole numbers is 57. What is the largest of them?
37. 37.Solve: 5(n − 1) = 3n + 7. What is n?
38. 38.The length of a rectangle is 3 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
39. 39.Solve: x/3 + x/5 = 64. What is x?
40. 40.The sum of two consecutive whole numbers is 45. What is the smallest of them?

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