Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 130 · 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: 5x + 8 = 4x + 14. What is x?
2. 2.Solve: 4t + 12 = 3t + 16. What is t?
3. 3.The length of a rectangle is 7 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
4. 4.Solve: 6(p − 1) = 4p + 8. What is p?
5. 5.Solve: 4(x − 2) = x + 7. What is x?
6. 6.The length of a rectangle is 10 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
7. 7.The length of a rectangle is 6 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
8. 8.Solve: 4y + 16 = 2y + 42. What is y?
9. 9.The sum of two consecutive whole numbers is 69. What is the largest of them?
10. 10.Solve: p/5 + p/4 = 18. What is p?
11. 11.The sum of four consecutive whole numbers is 154. What is the largest of them?
12. 12.Solve: 6(y − 5) = 3y + 12. What is y?
13. 13.Solve: 9x + 3 = 7x + 23. What is x?
14. 14.Solve: 5(m − 1) = 2m + 7. What is m?
15. 15.The sum of two consecutive whole numbers is 13. What is the largest of them?
16. 16.The sum of two consecutive whole numbers is 93. What is the largest of them?
17. 17.Solve: 7n + 15 = 4n + 57. What is n?
18. 18.The sum of two consecutive whole numbers is 33. What is the largest of them?
19. 19.The sum of three consecutive whole numbers is 144. What is the smallest of them?
20. 20.The sum of two consecutive whole numbers is 93. What is the smallest of them?
21. 21.The length of a rectangle is 5 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
22. 22.Solve: 3(t − 3) = t + 5. What is t?
23. 23.Solve: 4m + 11 = 2m + 37. What is m?
24. 24.Solve: 6(y − 5) = 3y + 3. What is y?
25. 25.The sum of four consecutive whole numbers is 42. What is the smallest of them?
26. 26.Solve: 3(y − 1) = 2y + 1. What is y?
27. 27.Solve: m/4 + m/2 = 15. What is m?
28. 28.Solve: 3(y − 3) = y + 7. What is y?
29. 29.Solve: 6(t − 4) = 4t + 10. What is t?
30. 30.The length of a rectangle is 12 cm more than its width. Its perimeter is 104 cm. What is its width (in cm)?
31. 31.The sum of three consecutive whole numbers is 96. What is the smallest of them?
32. 32.The length of a rectangle is 13 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
33. 33.A father is 13 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
34. 34.The length of a rectangle is 2 cm more than its width. Its perimeter is 16 cm. What is its width (in cm)?
35. 35.The sum of three consecutive whole numbers is 63. What is the smallest of them?
36. 36.A father is 30 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?
37. 37.The length of a rectangle is 4 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
38. 38.Solve: m/6 + m/5 = 55. What is m?
39. 39.The length of a rectangle is 1 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
40. 40.The length of a rectangle is 10 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?

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