Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 463 · 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: 4y + 20 = 3y + 21. What is y?
2. 2.Solve: n/3 + n/5 = 64. What is n?
3. 3.Solve: 5(y − 1) = 3y + 15. What is y?
4. 4.The length of a rectangle is 5 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
5. 5.The sum of two consecutive whole numbers is 65. What is the largest of them?
6. 6.A father is 20 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?
7. 7.The sum of two consecutive whole numbers is 11. What is the largest of them?
8. 8.The length of a rectangle is 9 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
9. 9.Solve: 4y + 16 = 3y + 20. What is y?
10. 10.The length of a rectangle is 4 cm more than its width. Its perimeter is 92 cm. What is its width (in cm)?
11. 11.A father is 12 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
12. 12.The length of a rectangle is 3 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
13. 13.The length of a rectangle is 11 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
14. 14.Solve: 7x + 11 = 4x + 41. What is x?
15. 15.Solve: 7x + 4 = 2x + 74. What is x?
16. 16.The length of a rectangle is 9 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
17. 17.Solve: t/4 + t/2 = 6. What is t?
18. 18.The length of a rectangle is 9 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
19. 19.A father is 8 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
20. 20.Solve: 8x + 3 = x + 108. What is x?
21. 21.Solve: 6(m − 4) = 5m + 2. What is m?
22. 22.Solve: 3y + 7 = y + 21. What is y?
23. 23.Solve: y/4 + y/3 = 42. What is y?
24. 24.A father is 28 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
25. 25.A father is 20 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
26. 26.Solve: 3y + 1 = 2y + 15. What is y?
27. 27.Solve: 6(t − 2) = 2t + 44. What is t?
28. 28.Solve: 5(p − 1) = 4p + 7. What is p?
29. 29.The length of a rectangle is 2 cm more than its width. Its perimeter is 84 cm. What is its width (in cm)?
30. 30.The length of a rectangle is 3 cm more than its width. Its perimeter is 14 cm. What is its width (in cm)?
31. 31.Solve: y/2 + y/3 = 40. What is y?
32. 32.The length of a rectangle is 15 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
33. 33.Solve: 5(y − 2) = 3y + 12. What is y?
34. 34.Solve: 8x + 6 = 2x + 36. What is x?
35. 35.The length of a rectangle is 1 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
36. 36.The sum of three consecutive whole numbers is 54. What is the largest of them?
37. 37.Solve: 6m + 1 = 2m + 61. What is m?
38. 38.The length of a rectangle is 11 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
39. 39.Solve: 3m + 10 = 2m + 24. What is m?
40. 40.The sum of three consecutive whole numbers is 150. What is the smallest of them?

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