Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 847 · 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: 6x + 11 = 2x + 27. What is x?
2. 2.Solve: 3n + 1 = 2n + 8. What is n?
3. 3.The length of a rectangle is 12 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
4. 4.The sum of four consecutive whole numbers is 194. What is the smallest of them?
5. 5.Solve: n/4 + n/3 = 49. What is n?
6. 6.Solve: x/2 + x/3 = 25. What is x?
7. 7.The sum of two consecutive whole numbers is 79. What is the smallest of them?
8. 8.The sum of two consecutive whole numbers is 39. What is the largest of them?
9. 9.Solve: 6p + 5 = p + 10. What is p?
10. 10.The length of a rectangle is 9 cm more than its width. Its perimeter is 126 cm. What is its width (in cm)?
11. 11.A father is 11 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
12. 12.Solve: n/5 + n/2 = 7. What is n?
13. 13.The sum of two consecutive whole numbers is 87. What is the smallest of them?
14. 14.The length of a rectangle is 4 cm more than its width. Its perimeter is 16 cm. What is its width (in cm)?
15. 15.Solve: 3(n − 4) = 2n + 7. What is n?
16. 16.Solve: 4(m − 5) = m + 37. What is m?
17. 17.Solve: 4n + 10 = 3n + 18. What is n?
18. 18.The length of a rectangle is 7 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
19. 19.The sum of three consecutive whole numbers is 63. What is the largest of them?
20. 20.Solve: x/4 + x/6 = 25. What is x?
21. 21.The sum of four consecutive whole numbers is 142. What is the smallest of them?
22. 22.The length of a rectangle is 3 cm more than its width. Its perimeter is 14 cm. What is its width (in cm)?
23. 23.The length of a rectangle is 10 cm more than its width. Its perimeter is 112 cm. What is its width (in cm)?
24. 24.The sum of two consecutive whole numbers is 117. What is the smallest of them?
25. 25.The length of a rectangle is 15 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
26. 26.The sum of three consecutive whole numbers is 156. What is the largest of them?
27. 27.The sum of two consecutive whole numbers is 77. What is the largest of them?
28. 28.The sum of three consecutive whole numbers is 183. What is the smallest of them?
29. 29.The sum of two consecutive whole numbers is 15. What is the smallest of them?
30. 30.The sum of four consecutive whole numbers is 194. What is the largest of them?
31. 31.Solve: 5(n − 4) = 4n + 2. What is n?
32. 32.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?
33. 33.Solve: y/5 + y/2 = 7. What is y?
34. 34.Solve: p/6 + p/2 = 4. What is p?
35. 35.Solve: 9y + 15 = 3y + 51. What is y?
36. 36.The length of a rectangle is 15 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
37. 37.The length of a rectangle is 8 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
38. 38.The sum of three consecutive whole numbers is 123. What is the smallest of them?
39. 39.A father is 34 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
40. 40.The sum of two consecutive whole numbers is 101. What is the smallest of them?

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