Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 383 · 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: 7p + 8 = 2p + 73. What is p?
2. 2.The length of a rectangle is 4 cm more than its width. Its perimeter is 92 cm. What is its width (in cm)?
3. 3.Solve: 9t + 2 = 2t + 58. What is t?
4. 4.Solve: 4t + 16 = 3t + 26. What is t?
5. 5.The length of a rectangle is 4 cm more than its width. Its perimeter is 112 cm. What is its width (in cm)?
6. 6.Solve: 6(x − 1) = 2x + 30. What is x?
7. 7.Solve: 5(m − 1) = 2m + 4. What is m?
8. 8.Solve: x/5 + x/4 = 18. What is x?
9. 9.Solve: 7m + 10 = 6m + 13. What is m?
10. 10.The sum of two consecutive whole numbers is 99. What is the smallest of them?
11. 11.Solve: 6(x − 1) = 2x + 18. What is x?
12. 12.The length of a rectangle is 12 cm more than its width. Its perimeter is 84 cm. What is its width (in cm)?
13. 13.A father is 42 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
14. 14.Solve: 8n + 1 = 5n + 25. What is n?
15. 15.The sum of four consecutive whole numbers is 34. What is the smallest of them?
16. 16.Solve: p/2 + p/3 = 30. What is p?
17. 17.The length of a rectangle is 15 cm more than its width. Its perimeter is 134 cm. What is its width (in cm)?
18. 18.A father is 33 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?
19. 19.The sum of four consecutive whole numbers is 90. What is the largest of them?
20. 20.The sum of three consecutive whole numbers is 105. What is the largest of them?
21. 21.A father is 16 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
22. 22.The length of a rectangle is 2 cm more than its width. Its perimeter is 76 cm. What is its width (in cm)?
23. 23.The sum of two consecutive whole numbers is 33. What is the smallest of them?
24. 24.Solve: 3x + 13 = 2x + 26. What is x?
25. 25.Solve: y/6 + y/2 = 16. What is y?
26. 26.Solve: x/2 + x/5 = 21. What is x?
27. 27.The length of a rectangle is 10 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
28. 28.A father is 10 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
29. 29.The sum of two consecutive whole numbers is 115. What is the largest of them?
30. 30.A father is 6 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
31. 31.Solve: 6(p − 1) = 5p + 9. What is p?
32. 32.Solve: 4t + 3 = t + 12. What is t?
33. 33.A father is 42 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?
34. 34.Solve: 4p + 17 = 3p + 22. What is p?
35. 35.The length of a rectangle is 3 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
36. 36.Solve: 8p + 1 = 4p + 13. What is p?
37. 37.A father is 6 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
38. 38.Solve: 6(p − 5) = 4p + 12. What is p?
39. 39.Solve: 9n + 4 = 3n + 10. What is n?
40. 40.The length of a rectangle is 11 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?

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