Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 469 · 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 57. What is the largest of them?
2. 2.The sum of two consecutive whole numbers is 17. What is the smallest of them?
3. 3.Solve: 4y + 14 = y + 47. What is y?
4. 4.The sum of four consecutive whole numbers is 154. What is the smallest of them?
5. 5.The length of a rectangle is 11 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
6. 6.The sum of four consecutive whole numbers is 106. What is the smallest of them?
7. 7.The length of a rectangle is 13 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
8. 8.The sum of three consecutive whole numbers is 174. What is the smallest of them?
9. 9.Solve: 4n + 4 = 2n + 26. What is n?
10. 10.Solve: y/6 + y/5 = 55. What is y?
11. 11.Solve: 4(x − 4) = x + 20. What is x?
12. 12.Solve: m/5 + m/6 = 88. What is m?
13. 13.The length of a rectangle is 12 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
14. 14.The sum of three consecutive whole numbers is 144. What is the largest of them?
15. 15.Solve: p/2 + p/5 = 42. What is p?
16. 16.Solve: 4(x − 1) = 2x + 24. What is x?
17. 17.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?
18. 18.A father is 24 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?
19. 19.The sum of four consecutive whole numbers is 78. What is the largest of them?
20. 20.A father is 14 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
21. 21.Solve: 4p + 10 = 2p + 36. What is p?
22. 22.The sum of two consecutive whole numbers is 103. What is the largest of them?
23. 23.The sum of two consecutive whole numbers is 85. What is the largest of them?
24. 24.A father is 14 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
25. 25.Solve: 3m + 3 = 2m + 18. What is m?
26. 26.Solve: 5(x − 4) = 2x + 19. What is x?
27. 27.Solve: 8x + 20 = 4x + 40. What is x?
28. 28.The sum of three consecutive whole numbers is 54. What is the largest of them?
29. 29.The sum of three consecutive whole numbers is 54. What is the smallest of them?
30. 30.A father is 15 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
31. 31.Solve: 4(m − 5) = 2m + 10. What is m?
32. 32.Solve: 6x + 1 = 5x + 12. What is x?
33. 33.Solve: 5y + 3 = y + 7. What is y?
34. 34.The length of a rectangle is 1 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
35. 35.The length of a rectangle is 2 cm more than its width. Its perimeter is 20 cm. What is its width (in cm)?
36. 36.The length of a rectangle is 10 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
37. 37.Solve: 7x + 5 = 2x + 55. What is x?
38. 38.A father is 7 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
39. 39.Solve: t/2 + t/3 = 20. What is t?
40. 40.Solve: 8t + 2 = 3t + 72. What is t?

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