Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 334 · 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 4 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
2. 2.Solve: 6(x − 3) = 2x + 34. What is x?
3. 3.Solve: 5(n − 1) = 2n + 4. What is n?
4. 4.Solve: m/5 + m/3 = 24. What is m?
5. 5.A father is 36 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?
6. 6.A father is 33 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?
7. 7.Solve: 4(t − 2) = 3t + 2. What is t?
8. 8.Solve: 3(p − 2) = p + 14. What is p?
9. 9.Solve: 5(x − 1) = 4x + 12. What is x?
10. 10.Solve: x/6 + x/4 = 20. What is x?
11. 11.Solve: 7m + 10 = m + 34. What is m?
12. 12.The sum of two consecutive whole numbers is 105. What is the smallest of them?
13. 13.The length of a rectangle is 8 cm more than its width. Its perimeter is 104 cm. What is its width (in cm)?
14. 14.The sum of two consecutive whole numbers is 23. What is the largest of them?
15. 15.The length of a rectangle is 6 cm more than its width. Its perimeter is 132 cm. What is its width (in cm)?
16. 16.Solve: 5x + 19 = 4x + 21. What is x?
17. 17.The sum of four consecutive whole numbers is 42. What is the largest of them?
18. 18.The sum of three consecutive whole numbers is 144. What is the smallest of them?
19. 19.Solve: 5(n − 2) = 3n + 22. What is n?
20. 20.Solve: 4(t − 4) = t + 20. What is t?
21. 21.Solve: p/3 + p/5 = 8. What is p?
22. 22.Solve: 4t + 19 = 3t + 30. What is t?
23. 23.The sum of four consecutive whole numbers is 26. What is the smallest of them?
24. 24.Solve: y/6 + y/5 = 22. What is y?
25. 25.The length of a rectangle is 11 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
26. 26.The sum of four consecutive whole numbers is 226. What is the smallest of them?
27. 27.Solve: 7t + 13 = 2t + 58. What is t?
28. 28.The length of a rectangle is 8 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
29. 29.A father is 15 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
30. 30.A father is 30 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?
31. 31.The length of a rectangle is 4 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
32. 32.A father is 15 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
33. 33.Solve: 5(n − 1) = 4n + 4. What is n?
34. 34.The length of a rectangle is 4 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
35. 35.The sum of three consecutive whole numbers is 78. What is the smallest of them?
36. 36.The sum of three consecutive whole numbers is 177. What is the smallest of them?
37. 37.The sum of three consecutive whole numbers is 150. What is the smallest of them?
38. 38.Solve: 4(m − 2) = 3m + 13. What is m?
39. 39.The length of a rectangle is 15 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
40. 40.Solve: 6(n − 5) = 3n + 36. What is n?

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