Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 825 · 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.Solve: n/5 + n/6 = 44. What is n?
2. 2.The sum of four consecutive whole numbers is 202. What is the smallest of them?
3. 3.A father is 12 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?
4. 4.Solve: 3y + 5 = y + 17. What is y?
5. 5.Solve: 6(x − 2) = 3x + 39. What is x?
6. 6.Solve: 5x + 20 = x + 36. What is x?
7. 7.The sum of two consecutive whole numbers is 31. What is the smallest of them?
8. 8.The length of a rectangle is 14 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
9. 9.Solve: 5(y − 1) = y + 27. What is y?
10. 10.A father is 42 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?
11. 11.Solve: 8y + 15 = 2y + 33. What is y?
12. 12.The length of a rectangle is 15 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
13. 13.The sum of two consecutive whole numbers is 115. What is the largest of them?
14. 14.The sum of two consecutive whole numbers is 37. What is the smallest of them?
15. 15.The length of a rectangle is 1 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
16. 16.The sum of three consecutive whole numbers is 177. What is the smallest of them?
17. 17.Solve: 6m + 17 = 3m + 26. What is m?
18. 18.A father is 24 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
19. 19.Solve: 4(n − 1) = n + 8. What is n?
20. 20.The sum of two consecutive whole numbers is 51. What is the smallest of them?
21. 21.The length of a rectangle is 6 cm more than its width. Its perimeter is 112 cm. What is its width (in cm)?
22. 22.The length of a rectangle is 13 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
23. 23.Solve: 5(n − 4) = 4n + 10. What is n?
24. 24.The sum of four consecutive whole numbers is 130. What is the smallest of them?
25. 25.Solve: 5n + 9 = n + 25. What is n?
26. 26.The length of a rectangle is 2 cm more than its width. Its perimeter is 124 cm. What is its width (in cm)?
27. 27.The length of a rectangle is 9 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
28. 28.The length of a rectangle is 12 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
29. 29.A father is 10 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
30. 30.The length of a rectangle is 15 cm more than its width. Its perimeter is 138 cm. What is its width (in cm)?
31. 31.The sum of three consecutive whole numbers is 180. What is the largest of them?
32. 32.Solve: 4y + 8 = y + 11. What is y?
33. 33.Solve: 7y + 15 = 5y + 17. What is y?
34. 34.Solve: 4(y − 4) = y + 26. What is y?
35. 35.Solve: n/2 + n/5 = 35. What is n?
36. 36.The length of a rectangle is 6 cm more than its width. Its perimeter is 128 cm. What is its width (in cm)?
37. 37.Solve: 6(n − 3) = 4n + 24. What is n?
38. 38.Solve: 4(m − 3) = 3m + 2. What is m?
39. 39.Solve: y/4 + y/3 = 14. What is y?
40. 40.Solve: n/5 + n/3 = 32. What is n?

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