Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 480 · 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: p/5 + p/3 = 48. What is p?
2. 2.Solve: y/6 + y/3 = 21. What is y?
3. 3.The length of a rectangle is 10 cm more than its width. Its perimeter is 112 cm. What is its width (in cm)?
4. 4.The length of a rectangle is 13 cm more than its width. Its perimeter is 146 cm. What is its width (in cm)?
5. 5.Solve: x/3 + x/4 = 7. What is x?
6. 6.The sum of three consecutive whole numbers is 120. What is the largest of them?
7. 7.Solve: 7y + 1 = 6y + 14. What is y?
8. 8.Solve: 5m + 17 = 2m + 26. What is m?
9. 9.A father is 20 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.Solve: 3(m − 4) = 2m + 4. What is m?
11. 11.The sum of two consecutive whole numbers is 111. What is the smallest of them?
12. 12.The length of a rectangle is 12 cm more than its width. Its perimeter is 84 cm. What is its width (in cm)?
13. 13.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?
14. 14.Solve: t/5 + t/4 = 9. What is t?
15. 15.The sum of three consecutive whole numbers is 99. What is the smallest of them?
16. 16.Solve: 4(p − 2) = 2p + 10. What is p?
17. 17.Solve: 3(t − 4) = t + 10. What is t?
18. 18.Solve: 3p + 5 = 2p + 7. What is p?
19. 19.Solve: x/5 + x/3 = 32. What is x?
20. 20.Solve: 6(m − 5) = 4m + 26. What is m?
21. 21.The length of a rectangle is 8 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
22. 22.The sum of two consecutive whole numbers is 67. What is the largest of them?
23. 23.Solve: y/5 + y/6 = 44. What is y?
24. 24.The length of a rectangle is 11 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
25. 25.The length of a rectangle is 2 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
26. 26.Solve: 6n + 12 = 5n + 26. What is n?
27. 27.The length of a rectangle is 6 cm more than its width. Its perimeter is 20 cm. What is its width (in cm)?
28. 28.The length of a rectangle is 6 cm more than its width. Its perimeter is 128 cm. What is its width (in cm)?
29. 29.A father is 51 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?
30. 30.Solve: y/4 + y/3 = 7. What is y?
31. 31.A father is 42 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?
32. 32.Solve: y/6 + y/3 = 18. What is y?
33. 33.A father is 8 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
34. 34.The length of a rectangle is 15 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
35. 35.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?
36. 36.Solve: x/6 + x/5 = 22. What is x?
37. 37.Solve: 3(x − 4) = 2x + 4. What is x?
38. 38.The sum of two consecutive whole numbers is 47. What is the largest of them?
39. 39.Solve: 3x + 13 = 2x + 26. What is x?
40. 40.Solve: 6(x − 2) = 4x + 22. What is x?

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