Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 444 · 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 length of a rectangle is 5 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
2. 2.Solve: 6(n − 4) = 3n + 15. What is n?
3. 3.Solve: m/4 + m/5 = 9. What is m?
4. 4.Solve: 3n + 7 = n + 19. What is n?
5. 5.Solve: 7n + 15 = 2n + 60. What is n?
6. 6.A father is 39 years older than his son. In 4 years, the father will be four times as old as his son. How old is the son now?
7. 7.The sum of two consecutive whole numbers is 63. What is the smallest of them?
8. 8.The sum of four consecutive whole numbers is 90. What is the largest of them?
9. 9.Solve: 6(p − 1) = 4p + 16. What is p?
10. 10.Solve: 4p + 10 = 2p + 22. What is p?
11. 11.Solve: 5x + 1 = x + 25. What is x?
12. 12.Solve: 8m + 17 = 7m + 26. What is m?
13. 13.A father is 42 years older than his son. In 4 years, the father will be four times as old as his son. How old is the son now?
14. 14.Solve: 5(p − 5) = 2p + 14. What is p?
15. 15.A father is 21 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?
16. 16.The length of a rectangle is 7 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
17. 17.Solve: 3m + 13 = 2m + 17. What is m?
18. 18.The length of a rectangle is 11 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
19. 19.The sum of two consecutive whole numbers is 43. What is the largest of them?
20. 20.Solve: 4(m − 2) = 3m + 1. What is m?
21. 21.Solve: 4(n − 1) = 3n + 12. What is n?
22. 22.A father is 26 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?
23. 23.A father is 45 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?
24. 24.The length of a rectangle is 9 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
25. 25.Solve: n/2 + n/4 = 6. What is n?
26. 26.A father is 15 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
27. 27.Solve: 7n + 13 = 2n + 28. What is n?
28. 28.The sum of two consecutive whole numbers is 15. What is the largest of them?
29. 29.Solve: x/2 + x/4 = 3. What is x?
30. 30.The length of a rectangle is 11 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
31. 31.Solve: m/5 + m/2 = 28. What is m?
32. 32.The length of a rectangle is 9 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
33. 33.Solve: x/5 + x/4 = 9. What is x?
34. 34.Solve: y/6 + y/3 = 18. What is y?
35. 35.Solve: n/2 + n/3 = 25. What is n?
36. 36.Solve: 3n + 7 = 2n + 22. What is n?
37. 37.The sum of two consecutive whole numbers is 43. What is the smallest of them?
38. 38.The length of a rectangle is 15 cm more than its width. Its perimeter is 142 cm. What is its width (in cm)?
39. 39.The length of a rectangle is 4 cm more than its width. Its perimeter is 28 cm. What is its width (in cm)?
40. 40.Solve: 5(t − 3) = t + 41. What is t?

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