Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 980 · 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: t/6 + t/5 = 88. What is t?
2. 2.The length of a rectangle is 4 cm more than its width. Its perimeter is 36 cm. What is its width (in cm)?
3. 3.Solve: 5(x − 2) = x + 46. What is x?
4. 4.The length of a rectangle is 5 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
5. 5.A father is 10 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
6. 6.Solve: 6(x − 1) = 4x + 16. What is x?
7. 7.Solve: 3(y − 1) = y + 1. What is y?
8. 8.A father is 11 years older than his son. In 2 years, the father will be twice 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 66 cm. What is its width (in cm)?
10. 10.Solve: 9n + 14 = 3n + 98. What is n?
11. 11.Solve: 9n + 15 = 4n + 60. What is n?
12. 12.Solve: x/6 + x/3 = 21. What is x?
13. 13.The sum of four consecutive whole numbers is 86. What is the largest of them?
14. 14.The length of a rectangle is 9 cm more than its width. Its perimeter is 138 cm. What is its width (in cm)?
15. 15.Solve: t/6 + t/2 = 28. What is t?
16. 16.The length of a rectangle is 13 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
17. 17.Solve: n/5 + n/6 = 22. What is n?
18. 18.A father is 14 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?
19. 19.The sum of three consecutive whole numbers is 81. What is the smallest of them?
20. 20.Solve: t/2 + t/6 = 12. What is t?
21. 21.The length of a rectangle is 13 cm more than its width. Its perimeter is 134 cm. What is its width (in cm)?
22. 22.The length of a rectangle is 4 cm more than its width. Its perimeter is 28 cm. What is its width (in cm)?
23. 23.The sum of two consecutive whole numbers is 43. What is the largest of them?
24. 24.The length of a rectangle is 15 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
25. 25.Solve: 5y + 6 = 4y + 15. What is y?
26. 26.A father is 33 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
27. 27.Solve: 6n + 10 = 5n + 13. What is n?
28. 28.The length of a rectangle is 1 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
29. 29.Solve: 8m + 9 = 7m + 12. What is m?
30. 30.Solve: n/3 + n/5 = 32. What is n?
31. 31.Solve: m/5 + m/3 = 64. What is m?
32. 32.A father is 12 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?
33. 33.Solve: 8y + 15 = y + 43. What is y?
34. 34.Solve: 9m + 14 = 3m + 86. What is m?
35. 35.The length of a rectangle is 9 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
36. 36.The length of a rectangle is 2 cm more than its width. Its perimeter is 16 cm. What is its width (in cm)?
37. 37.The length of a rectangle is 12 cm more than its width. Its perimeter is 72 cm. What is its width (in cm)?
38. 38.The length of a rectangle is 2 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
39. 39.Solve: 5(n − 1) = 3n + 7. What is n?
40. 40.A father is 51 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?

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