Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 479 · 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: 3(m − 5) = m + 19. What is m?
2. 2.Solve: n/5 + n/4 = 54. What is n?
3. 3.Solve: t/4 + t/2 = 18. What is t?
4. 4.Solve: 3(n − 4) = n + 14. What is n?
5. 5.Solve: m/6 + m/5 = 22. What is m?
6. 6.The length of a rectangle is 8 cm more than its width. Its perimeter is 128 cm. What is its width (in cm)?
7. 7.Solve: 4(n − 1) = 2n + 26. What is n?
8. 8.Solve: x/4 + x/5 = 45. What is x?
9. 9.The sum of three consecutive whole numbers is 27. What is the smallest of them?
10. 10.Solve: 9m + 15 = 3m + 51. What is m?
11. 11.The length of a rectangle is 1 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
12. 12.Solve: t/6 + t/4 = 30. What is t?
13. 13.The length of a rectangle is 13 cm more than its width. Its perimeter is 146 cm. What is its width (in cm)?
14. 14.A father is 9 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
15. 15.A father is 13 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
16. 16.A father is 7 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
17. 17.A father is 19 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
18. 18.Solve: 5(y − 5) = 2y + 5. What is y?
19. 19.A father is 11 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
20. 20.Solve: x/5 + x/6 = 22. What is x?
21. 21.Solve: p/2 + p/6 = 4. What is p?
22. 22.The length of a rectangle is 1 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
23. 23.A father is 22 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
24. 24.Solve: 3(m − 4) = 2m + 8. What is m?
25. 25.The length of a rectangle is 9 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
26. 26.The sum of two consecutive whole numbers is 57. What is the smallest of them?
27. 27.Solve: 4y + 8 = 2y + 30. What is y?
28. 28.The length of a rectangle is 7 cm more than its width. Its perimeter is 22 cm. What is its width (in cm)?
29. 29.A father is 8 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?
30. 30.Solve: 5(y − 1) = 2y + 22. What is y?
31. 31.Solve: x/6 + x/4 = 35. What is x?
32. 32.The sum of three consecutive whole numbers is 69. What is the largest of them?
33. 33.The sum of four consecutive whole numbers is 186. What is the smallest of them?
34. 34.The length of a rectangle is 13 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
35. 35.The sum of four consecutive whole numbers is 30. What is the smallest of them?
36. 36.Solve: 6(n − 5) = 4n + 8. What is n?
37. 37.The sum of two consecutive whole numbers is 55. What is the largest of them?
38. 38.The sum of two consecutive whole numbers is 35. What is the largest of them?
39. 39.Solve: 4(y − 2) = y + 19. What is y?
40. 40.The length of a rectangle is 5 cm more than its width. Its perimeter is 18 cm. What is its width (in cm)?

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