Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 319 · 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 four consecutive whole numbers is 174. What is the largest of them?
2. 2.The length of a rectangle is 3 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
3. 3.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?
4. 4.Solve: 8y + 7 = 4y + 55. What is y?
5. 5.Solve: 5(t − 1) = 2t + 34. What is t?
6. 6.A father is 18 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?
7. 7.Solve: 3m + 9 = m + 15. What is m?
8. 8.The sum of two consecutive whole numbers is 101. What is the smallest of them?
9. 9.Solve: 4(m − 1) = m + 23. What is m?
10. 10.The sum of three consecutive whole numbers is 45. What is the smallest of them?
11. 11.A father is 39 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?
12. 12.A father is 18 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?
13. 13.The length of a rectangle is 15 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
14. 14.The length of a rectangle is 14 cm more than its width. Its perimeter is 144 cm. What is its width (in cm)?
15. 15.The length of a rectangle is 11 cm more than its width. Its perimeter is 142 cm. What is its width (in cm)?
16. 16.The length of a rectangle is 7 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
17. 17.The sum of two consecutive whole numbers is 39. What is the largest of them?
18. 18.Solve: 9p + 4 = p + 20. What is p?
19. 19.Solve: 3m + 9 = m + 21. What is m?
20. 20.Solve: y/4 + y/6 = 25. What is y?
21. 21.Solve: n/5 + n/2 = 42. What is n?
22. 22.Solve: 6(m − 2) = 4m + 6. What is m?
23. 23.Solve: 3(t − 5) = t + 5. What is t?
24. 24.The sum of two consecutive whole numbers is 63. What is the smallest of them?
25. 25.Solve: 6(y − 4) = y + 46. What is y?
26. 26.Solve: 5(m − 5) = m + 19. What is m?
27. 27.Solve: 5p + 6 = 3p + 8. What is p?
28. 28.The sum of two consecutive whole numbers is 105. What is the largest of them?
29. 29.Solve: x/2 + x/6 = 4. What is x?
30. 30.The sum of two consecutive whole numbers is 59. What is the largest of them?
31. 31.The sum of three consecutive whole numbers is 60. What is the largest of them?
32. 32.The sum of four consecutive whole numbers is 226. What is the smallest of them?
33. 33.A father is 21 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?
34. 34.Solve: 6m + 15 = 4m + 29. What is m?
35. 35.The sum of three consecutive whole numbers is 120. What is the largest of them?
36. 36.Solve: 9m + 3 = 6m + 48. What is m?
37. 37.Solve: 6(n − 5) = 5n + 5. What is n?
38. 38.The length of a rectangle is 5 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
39. 39.Solve: 6(m − 2) = 3m + 30. What is m?
40. 40.The length of a rectangle is 13 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?

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