Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 437 · 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 30 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?
2. 2.Solve: 9x + 4 = 3x + 46. What is x?
3. 3.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?
4. 4.Solve: 3y + 16 = 2y + 17. What is y?
5. 5.Solve: 3(t − 1) = 2t + 3. What is t?
6. 6.A father is 22 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
7. 7.Solve: 9t + 1 = t + 65. What is t?
8. 8.Solve: 7p + 2 = 3p + 58. What is p?
9. 9.The length of a rectangle is 15 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
10. 10.A father is 30 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
11. 11.The sum of three consecutive whole numbers is 81. What is the largest of them?
12. 12.Solve: 5(t − 4) = t + 20. What is t?
13. 13.The length of a rectangle is 5 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
14. 14.Solve: 6m + 4 = 3m + 40. What is m?
15. 15.The sum of three consecutive whole numbers is 180. What is the largest of them?
16. 16.Solve: y/2 + y/3 = 15. What is y?
17. 17.Solve: 6(t − 4) = 3t + 27. What is t?
18. 18.Solve: 3(t − 5) = t + 3. What is t?
19. 19.The length of a rectangle is 6 cm more than its width. Its perimeter is 24 cm. What is its width (in cm)?
20. 20.The sum of four consecutive whole numbers is 238. What is the largest of them?
21. 21.The length of a rectangle is 11 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
22. 22.The sum of two consecutive whole numbers is 81. What is the largest of them?
23. 23.Solve: t/4 + t/2 = 21. What is t?
24. 24.The length of a rectangle is 11 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
25. 25.Solve: y/6 + y/2 = 28. What is y?
26. 26.Solve: n/5 + n/4 = 9. What is n?
27. 27.A father is 48 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
28. 28.A father is 48 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?
29. 29.The sum of two consecutive whole numbers is 91. What is the largest of them?
30. 30.Solve: 6(p − 5) = 2p + 22. What is p?
31. 31.Solve: 7y + 13 = 6y + 22. What is y?
32. 32.Solve: t/6 + t/4 = 35. What is t?
33. 33.A father is 33 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: 3(n − 5) = n + 23. What is n?
35. 35.Solve: 5(t − 1) = 4t + 1. What is t?
36. 36.Solve: n/4 + n/2 = 21. What is n?
37. 37.The length of a rectangle is 10 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
38. 38.The length of a rectangle is 9 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
39. 39.Solve: 3t + 16 = t + 34. What is t?
40. 40.Solve: m/5 + m/2 = 14. What is m?

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