Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 17 · 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: p/2 + p/4 = 18. What is p?
2. 2.The length of a rectangle is 5 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
3. 3.The sum of three consecutive whole numbers is 126. What is the largest of them?
4. 4.Solve: 5(p − 1) = 4p + 9. What is p?
5. 5.Solve: 3(t − 4) = 2t + 4. What is t?
6. 6.The sum of two consecutive whole numbers is 77. What is the largest of them?
7. 7.The sum of three consecutive whole numbers is 63. What is the largest of them?
8. 8.The length of a rectangle is 5 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
9. 9.A father is 28 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
10. 10.A father is 13 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
11. 11.Solve: 5n + 12 = 2n + 24. What is n?
12. 12.Solve: 7m + 20 = m + 26. What is m?
13. 13.The length of a rectangle is 15 cm more than its width. Its perimeter is 138 cm. What is its width (in cm)?
14. 14.Solve: t/2 + t/6 = 4. What is t?
15. 15.The length of a rectangle is 13 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
16. 16.The sum of two consecutive whole numbers is 73. What is the largest of them?
17. 17.Solve: 6(m − 2) = 5m + 2. What is m?
18. 18.Solve: x/4 + x/3 = 21. What is x?
19. 19.A father is 27 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?
20. 20.A father is 14 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
21. 21.Solve: n/6 + n/3 = 6. What is n?
22. 22.Solve: 3(m − 2) = 2m + 7. What is m?
23. 23.Solve: 3m + 6 = m + 22. What is m?
24. 24.Solve: 6y + 8 = 5y + 12. What is y?
25. 25.The sum of three consecutive whole numbers is 36. What is the smallest of them?
26. 26.The sum of three consecutive whole numbers is 63. What is the smallest of them?
27. 27.Solve: 5(p − 2) = 4p + 12. What is p?
28. 28.The sum of three consecutive whole numbers is 141. What is the smallest of them?
29. 29.Solve: 4n + 9 = 3n + 13. What is n?
30. 30.The length of a rectangle is 4 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
31. 31.The sum of two consecutive whole numbers is 49. What is the largest of them?
32. 32.Solve: 3(t − 1) = t + 5. What is t?
33. 33.Solve: 4(n − 1) = n + 14. What is n?
34. 34.The length of a rectangle is 3 cm more than its width. Its perimeter is 126 cm. What is its width (in cm)?
35. 35.The sum of two consecutive whole numbers is 121. What is the largest of them?
36. 36.Solve: t/3 + t/4 = 56. What is t?
37. 37.Solve: t/4 + t/6 = 10. What is t?
38. 38.The length of a rectangle is 4 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
39. 39.A father is 57 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?
40. 40.Solve: 8x + 14 = 5x + 50. What is x?

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets