Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 624 · 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 15 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
2. 2.The sum of four consecutive whole numbers is 90. What is the smallest of them?
3. 3.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?
4. 4.Solve: 3(y − 4) = 2y + 11. What is y?
5. 5.Solve: 7n + 2 = 5n + 10. What is n?
6. 6.A father is 12 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?
7. 7.The sum of two consecutive whole numbers is 67. What is the largest of them?
8. 8.A father is 45 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?
9. 9.Solve: 8p + 2 = 7p + 5. What is p?
10. 10.Solve: 8y + 14 = y + 112. What is y?
11. 11.Solve: 7p + 12 = 5p + 22. What is p?
12. 12.The sum of two consecutive whole numbers is 97. What is the smallest of them?
13. 13.The sum of two consecutive whole numbers is 79. What is the smallest of them?
14. 14.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?
15. 15.A father is 3 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
16. 16.Solve: 8y + 9 = 5y + 24. What is y?
17. 17.Solve: n/3 + n/6 = 6. What is n?
18. 18.Solve: 3(p − 1) = p + 15. What is p?
19. 19.Solve: t/5 + t/4 = 18. What is t?
20. 20.The length of a rectangle is 15 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
21. 21.The sum of three consecutive whole numbers is 63. What is the smallest of them?
22. 22.The length of a rectangle is 1 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
23. 23.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?
24. 24.The length of a rectangle is 14 cm more than its width. Its perimeter is 124 cm. What is its width (in cm)?
25. 25.The sum of two consecutive whole numbers is 53. What is the largest of them?
26. 26.The length of a rectangle is 3 cm more than its width. Its perimeter is 126 cm. What is its width (in cm)?
27. 27.A father is 24 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
28. 28.A father is 15 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?
29. 29.A father is 7 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
30. 30.A father is 6 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
31. 31.Solve: 6(x − 4) = 4x + 6. What is x?
32. 32.Solve: 5n + 18 = 4n + 31. What is n?
33. 33.Solve: 4(n − 3) = n + 30. What is n?
34. 34.Solve: y/2 + y/3 = 35. What is y?
35. 35.Solve: t/6 + t/3 = 15. What is t?
36. 36.The length of a rectangle is 14 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
37. 37.The sum of four consecutive whole numbers is 166. What is the smallest of them?
38. 38.Solve: 5(p − 4) = 3p + 10. What is p?
39. 39.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?
40. 40.Solve: 4y + 12 = 2y + 16. What is y?

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