Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 175 · 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.The sum of two consecutive whole numbers is 19. What is the largest of them?
2. 2.Solve: 4m + 6 = m + 24. What is m?
3. 3.The sum of two consecutive whole numbers is 111. What is the largest of them?
4. 4.The length of a rectangle is 5 cm more than its width. Its perimeter is 18 cm. What is its width (in cm)?
5. 5.The length of a rectangle is 2 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
6. 6.Solve: 3t + 16 = 2t + 28. What is t?
7. 7.Solve: 8p + 5 = 2p + 59. What is p?
8. 8.Solve: 4(y − 4) = y + 26. What is y?
9. 9.Solve: n/5 + n/4 = 36. What is n?
10. 10.A father is 7 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
11. 11.A father is 27 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?
12. 12.The sum of four consecutive whole numbers is 74. What is the largest of them?
13. 13.Solve: 6(n − 2) = 2n + 48. What is n?
14. 14.The sum of three consecutive whole numbers is 90. What is the smallest of them?
15. 15.The length of a rectangle is 3 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
16. 16.Solve: m/3 + m/6 = 18. What is m?
17. 17.The length of a rectangle is 9 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
18. 18.The length of a rectangle is 2 cm more than its width. Its perimeter is 104 cm. What is its width (in cm)?
19. 19.The length of a rectangle is 7 cm more than its width. Its perimeter is 22 cm. What is its width (in cm)?
20. 20.Solve: 6(n − 5) = 4n + 20. What is n?
21. 21.Solve: n/2 + n/6 = 12. What is n?
22. 22.A father is 24 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
23. 23.Solve: 6m + 4 = 5m + 12. What is m?
24. 24.Solve: 5(n − 2) = 4n + 2. What is n?
25. 25.The length of a rectangle is 1 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
26. 26.Solve: x/5 + x/4 = 36. What is x?
27. 27.A father is 11 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
28. 28.Solve: 3(m − 5) = 2m + 5. What is m?
29. 29.The sum of three consecutive whole numbers is 141. What is the largest of them?
30. 30.Solve: 5(y − 1) = y + 39. What is y?
31. 31.A father is 14 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
32. 32.Solve: 4x + 13 = 2x + 19. What is x?
33. 33.Solve: 3y + 19 = y + 21. What is y?
34. 34.The length of a rectangle is 1 cm more than its width. Its perimeter is 18 cm. What is its width (in cm)?
35. 35.The sum of three consecutive whole numbers is 54. What is the smallest of them?
36. 36.The sum of two consecutive whole numbers is 57. What is the smallest of them?
37. 37.A father is 26 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
38. 38.Solve: 3(x − 5) = 2x + 7. What is x?
39. 39.Solve: 3t + 11 = t + 15. What is t?
40. 40.A father is 11 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?

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