Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 434 · 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 1 cm more than its width. Its perimeter is 14 cm. What is its width (in cm)?
2. 2.Solve: x/2 + x/5 = 7. What is x?
3. 3.Solve: 5(x − 1) = x + 23. What is x?
4. 4.Solve: 5(x − 4) = x + 52. What is x?
5. 5.The length of a rectangle is 13 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
6. 6.Solve: 3(x − 1) = 2x + 8. What is x?
7. 7.A father is 48 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?
8. 8.A father is 6 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
9. 9.A father is 48 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?
10. 10.Solve: x/3 + x/4 = 7. What is x?
11. 11.The length of a rectangle is 8 cm more than its width. Its perimeter is 132 cm. What is its width (in cm)?
12. 12.Solve: 6x + 7 = 3x + 28. What is x?
13. 13.The length of a rectangle is 5 cm more than its width. Its perimeter is 126 cm. What is its width (in cm)?
14. 14.Solve: m/3 + m/2 = 30. What is m?
15. 15.A father is 42 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?
16. 16.The sum of two consecutive whole numbers is 67. What is the smallest of them?
17. 17.The length of a rectangle is 11 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
18. 18.The sum of two consecutive whole numbers is 83. What is the smallest of them?
19. 19.The sum of three consecutive whole numbers is 138. What is the largest of them?
20. 20.The sum of two consecutive whole numbers is 93. What is the smallest of them?
21. 21.The sum of three consecutive whole numbers is 24. What is the largest of them?
22. 22.Solve: x/5 + x/2 = 14. What is x?
23. 23.The sum of four consecutive whole numbers is 146. What is the largest of them?
24. 24.Solve: 8x + 6 = 4x + 38. What is x?
25. 25.The length of a rectangle is 13 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
26. 26.The sum of two consecutive whole numbers is 25. What is the largest of them?
27. 27.Solve: 9n + 14 = 8n + 19. What is n?
28. 28.Solve: 6(p − 5) = 3p + 18. What is p?
29. 29.The length of a rectangle is 5 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
30. 30.Solve: 4(n − 4) = n + 14. What is n?
31. 31.Solve: 4(t − 2) = 3t + 11. What is t?
32. 32.Solve: 3(y − 4) = 2y + 4. What is y?
33. 33.A father is 4 years older than his son. In 2 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 6 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
35. 35.Solve: 4(m − 1) = m + 32. What is m?
36. 36.The length of a rectangle is 12 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
37. 37.Solve: 4t + 8 = 3t + 15. What is t?
38. 38.Solve: x/3 + x/4 = 56. What is x?
39. 39.Solve: 5y + 6 = 3y + 18. What is y?
40. 40.Solve: 5(p − 4) = 4p + 9. What is p?

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