Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 425 · 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: 5t + 18 = 4t + 21. What is t?
2. 2.The sum of two consecutive whole numbers is 11. What is the largest of them?
3. 3.Solve: t/6 + t/3 = 9. What is t?
4. 4.Solve: 5(x − 1) = 2x + 34. What is x?
5. 5.The length of a rectangle is 14 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
6. 6.A father is 15 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
7. 7.The length of a rectangle is 1 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
8. 8.Solve: 9m + 2 = 4m + 47. What is m?
9. 9.Solve: y/3 + y/2 = 20. What is y?
10. 10.Solve: x/2 + x/5 = 14. What is x?
11. 11.Solve: 9p + 13 = 3p + 61. What is p?
12. 12.The sum of two consecutive whole numbers is 63. What is the smallest of them?
13. 13.The sum of three consecutive whole numbers is 102. What is the largest of them?
14. 14.The sum of three consecutive whole numbers is 39. What is the smallest of them?
15. 15.A father is 45 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?
16. 16.A father is 54 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?
17. 17.Solve: 9p + 5 = 7p + 15. What is p?
18. 18.Solve: 7y + 2 = 3y + 46. What is y?
19. 19.The length of a rectangle is 9 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
20. 20.Solve: 3(t − 4) = 2t + 7. What is t?
21. 21.A father is 24 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?
22. 22.Solve: x/4 + x/6 = 20. What is x?
23. 23.Solve: t/3 + t/6 = 12. What is t?
24. 24.The length of a rectangle is 2 cm more than its width. Its perimeter is 120 cm. What is its width (in cm)?
25. 25.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?
26. 26.The sum of two consecutive whole numbers is 37. What is the smallest of them?
27. 27.A father is 14 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
28. 28.The sum of three consecutive whole numbers is 33. What is the smallest of them?
29. 29.The length of a rectangle is 7 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
30. 30.The sum of four consecutive whole numbers is 98. What is the largest of them?
31. 31.The sum of two consecutive whole numbers is 17. What is the largest of them?
32. 32.Solve: 3(m − 2) = m + 6. What is m?
33. 33.Solve: 4(p − 4) = p + 11. What is p?
34. 34.The length of a rectangle is 8 cm more than its width. Its perimeter is 24 cm. What is its width (in cm)?
35. 35.Solve: x/2 + x/5 = 49. What is x?
36. 36.Solve: p/4 + p/5 = 18. What is p?
37. 37.Solve: 5(p − 1) = 2p + 34. What is p?
38. 38.Solve: 7m + 14 = 2m + 49. What is m?
39. 39.The sum of two consecutive whole numbers is 17. What is the smallest of them?
40. 40.Solve: 3(t − 2) = 2t + 11. What is t?

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