Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 947 · 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 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?
2. 2.Solve: 5(t − 5) = 2t + 8. What is t?
3. 3.Solve: 4(x − 1) = 2x + 26. What is x?
4. 4.The sum of four consecutive whole numbers is 242. What is the largest of them?
5. 5.Solve: x/5 + x/3 = 32. What is x?
6. 6.The length of a rectangle is 6 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
7. 7.Solve: 4(p − 1) = 2p + 16. What is p?
8. 8.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?
9. 9.The length of a rectangle is 1 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
10. 10.The length of a rectangle is 9 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
11. 11.Solve: 3(t − 4) = t + 8. What is t?
12. 12.Solve: 9y + 6 = 6y + 33. What is y?
13. 13.Solve: 5n + 8 = 3n + 22. What is n?
14. 14.Solve: 3(x − 5) = 2x + 5. What is x?
15. 15.Solve: 8x + 10 = 3x + 15. What is x?
16. 16.Solve: 4x + 8 = x + 26. What is x?
17. 17.Solve: 5(x − 3) = 3x + 7. What is x?
18. 18.A father is 9 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
19. 19.Solve: 3n + 4 = n + 8. What is n?
20. 20.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?
21. 21.Solve: 3(n − 4) = n + 2. What is n?
22. 22.The length of a rectangle is 9 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
23. 23.Solve: 5m + 16 = 4m + 27. What is m?
24. 24.Solve: t/4 + t/3 = 21. What is t?
25. 25.A father is 11 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
26. 26.A father is 26 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?
27. 27.A father is 24 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?
28. 28.Solve: m/3 + m/5 = 40. What is m?
29. 29.The length of a rectangle is 9 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
30. 30.The length of a rectangle is 7 cm more than its width. Its perimeter is 22 cm. What is its width (in cm)?
31. 31.The sum of four consecutive whole numbers is 238. What is the largest of them?
32. 32.The sum of two consecutive whole numbers is 39. What is the largest of them?
33. 33.Solve: 4m + 19 = 3m + 25. What is m?
34. 34.The sum of three consecutive whole numbers is 96. What is the largest of them?
35. 35.A father is 10 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
36. 36.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?
37. 37.Solve: 8m + 19 = 7m + 22. What is m?
38. 38.The length of a rectangle is 15 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
39. 39.Solve: x/4 + x/6 = 15. What is x?
40. 40.Solve: t/3 + t/5 = 8. What is t?

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