Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 89 · 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 three consecutive whole numbers is 48. What is the largest of them?
2. 2.The sum of three consecutive whole numbers is 81. What is the smallest of them?
3. 3.The sum of two consecutive whole numbers is 79. What is the largest of them?
4. 4.Solve: 8p + 11 = 2p + 35. What is p?
5. 5.Solve: m/3 + m/6 = 3. What is m?
6. 6.Solve: 3(m − 5) = 2m + 5. What is m?
7. 7.Solve: 3(p − 1) = p + 23. What is p?
8. 8.Solve: n/3 + n/4 = 49. What is n?
9. 9.Solve: 8x + 15 = x + 106. What is x?
10. 10.The sum of two consecutive whole numbers is 21. What is the smallest of them?
11. 11.Solve: 5n + 6 = n + 54. What is n?
12. 12.The length of a rectangle is 2 cm more than its width. Its perimeter is 72 cm. What is its width (in cm)?
13. 13.Solve: 4p + 14 = p + 17. What is p?
14. 14.Solve: 4(n − 3) = n + 24. What is n?
15. 15.Solve: 5y + 8 = 2y + 20. What is y?
16. 16.The length of a rectangle is 3 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
17. 17.Solve: m/3 + m/2 = 40. What is m?
18. 18.Solve: 8y + 16 = y + 100. What is y?
19. 19.The length of a rectangle is 8 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
20. 20.The length of a rectangle is 5 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
21. 21.A father is 24 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?
22. 22.Solve: 7p + 8 = 6p + 19. What is p?
23. 23.The sum of three consecutive whole numbers is 33. What is the largest of them?
24. 24.A father is 33 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?
25. 25.Solve: n/4 + n/2 = 6. What is n?
26. 26.The length of a rectangle is 8 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
27. 27.Solve: 5x + 16 = 4x + 27. What is x?
28. 28.The sum of two consecutive whole numbers is 45. What is the smallest of them?
29. 29.The sum of four consecutive whole numbers is 126. What is the largest of them?
30. 30.A father is 16 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
31. 31.The sum of two consecutive whole numbers is 77. What is the largest of them?
32. 32.Solve: 5(x − 3) = 4x + 1. What is x?
33. 33.A father is 51 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
34. 34.The length of a rectangle is 1 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
35. 35.The sum of three consecutive whole numbers is 51. What is the largest of them?
36. 36.Solve: m/6 + m/3 = 15. What is m?
37. 37.Solve: 3(y − 4) = 2y + 12. What is y?
38. 38.The sum of four consecutive whole numbers is 210. What is the largest of them?
39. 39.Solve: x/3 + x/6 = 15. What is x?
40. 40.A father is 34 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?

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