Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 924 · 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 177. What is the largest of them?
2. 2.Solve: 3(n − 3) = n + 3. What is n?
3. 3.The sum of three consecutive whole numbers is 69. What is the largest of them?
4. 4.The sum of three consecutive whole numbers is 54. What is the largest of them?
5. 5.Solve: 5p + 12 = 3p + 38. What is p?
6. 6.The sum of two consecutive whole numbers is 49. What is the smallest of them?
7. 7.Solve: 8p + 9 = 2p + 87. What is p?
8. 8.The sum of three consecutive whole numbers is 33. What is the smallest of them?
9. 9.The sum of four consecutive whole numbers is 218. What is the largest of them?
10. 10.Solve: n/3 + n/4 = 14. What is n?
11. 11.Solve: 5(m − 4) = 3m + 24. What is m?
12. 12.The length of a rectangle is 11 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
13. 13.The length of a rectangle is 15 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
14. 14.The length of a rectangle is 1 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
15. 15.Solve: 3(n − 3) = n + 1. What is n?
16. 16.The length of a rectangle is 7 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
17. 17.The sum of three consecutive whole numbers is 24. What is the largest of them?
18. 18.A father is 22 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
19. 19.The length of a rectangle is 15 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
20. 20.The sum of three consecutive whole numbers is 90. What is the smallest of them?
21. 21.Solve: 6(x − 5) = 5x + 8. What is x?
22. 22.A father is 16 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
23. 23.Solve: y/2 + y/3 = 10. What is y?
24. 24.Solve: t/5 + t/4 = 54. What is t?
25. 25.A father is 16 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?
26. 26.Solve: 3(x − 4) = 2x + 1. What is x?
27. 27.The sum of three consecutive whole numbers is 87. What is the largest of them?
28. 28.The length of a rectangle is 3 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
29. 29.The length of a rectangle is 11 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
30. 30.Solve: 3(y − 2) = 2y + 6. What is y?
31. 31.The sum of three consecutive whole numbers is 138. What is the smallest of them?
32. 32.A father is 5 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
33. 33.Solve: 4(m − 2) = 3m + 1. What is m?
34. 34.Solve: 8y + 19 = 5y + 46. What is y?
35. 35.Solve: y/6 + y/3 = 15. What is y?
36. 36.The sum of three consecutive whole numbers is 108. What is the largest of them?
37. 37.Solve: 5(p − 1) = p + 3. What is p?
38. 38.The length of a rectangle is 2 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
39. 39.The sum of three consecutive whole numbers is 33. What is the largest of them?
40. 40.Solve: 7x + 11 = 2x + 86. What is x?

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