Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 316 · 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 126. What is the largest of them?
2. 2.A father is 28 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
3. 3.Solve: y/2 + y/3 = 5. What is y?
4. 4.A father is 45 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?
5. 5.Solve: y/5 + y/4 = 72. What is y?
6. 6.Solve: 6(y − 2) = 2y + 44. What is y?
7. 7.The sum of three consecutive whole numbers is 63. What is the largest of them?
8. 8.Solve: 5x + 6 = x + 66. What is x?
9. 9.A father is 16 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?
10. 10.The sum of three consecutive whole numbers is 78. What is the smallest of them?
11. 11.Solve: 5t + 10 = 2t + 52. What is t?
12. 12.A father is 24 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?
13. 13.A father is 42 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?
14. 14.Solve: 3(t − 5) = 2t + 10. What is t?
15. 15.Solve: 5(m − 4) = 3m + 12. What is m?
16. 16.Solve: 3(p − 2) = 2p + 13. What is p?
17. 17.A father is 26 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
18. 18.Solve: 5(p − 4) = 3p + 8. What is p?
19. 19.A father is 4 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
20. 20.Solve: p/3 + p/2 = 30. What is p?
21. 21.Solve: x/4 + x/3 = 49. What is x?
22. 22.The sum of four consecutive whole numbers is 218. What is the smallest of them?
23. 23.The length of a rectangle is 4 cm more than its width. Its perimeter is 36 cm. What is its width (in cm)?
24. 24.Solve: 6(t − 5) = 4t + 4. What is t?
25. 25.Solve: y/5 + y/2 = 49. What is y?
26. 26.The sum of four consecutive whole numbers is 26. What is the smallest of them?
27. 27.The length of a rectangle is 14 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
28. 28.The length of a rectangle is 13 cm more than its width. Its perimeter is 126 cm. What is its width (in cm)?
29. 29.Solve: x/4 + x/2 = 15. What is x?
30. 30.The sum of four consecutive whole numbers is 186. What is the smallest of them?
31. 31.Solve: y/2 + y/6 = 16. What is y?
32. 32.Solve: p/2 + p/4 = 9. What is p?
33. 33.The length of a rectangle is 9 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
34. 34.A father is 36 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?
35. 35.Solve: 3(t − 2) = 2t + 9. What is t?
36. 36.A father is 11 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
37. 37.Solve: 4(x − 1) = x + 23. What is x?
38. 38.A father is 34 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?
39. 39.Solve: 3t + 12 = t + 40. What is t?
40. 40.A father is 27 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?

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