Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 173 · 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: x/5 + x/6 = 11. What is x?
2. 2.A father is 39 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?
3. 3.A father is 32 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?
4. 4.The length of a rectangle is 2 cm more than its width. Its perimeter is 20 cm. What is its width (in cm)?
5. 5.Solve: t/2 + t/5 = 35. What is t?
6. 6.Solve: 9t + 3 = 4t + 28. What is t?
7. 7.Solve: y/2 + y/3 = 20. What is y?
8. 8.The length of a rectangle is 1 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
9. 9.A father is 24 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?
10. 10.A father is 10 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
11. 11.Solve: 6(x − 3) = 5x + 12. What is x?
12. 12.Solve: p/4 + p/6 = 30. What is p?
13. 13.Solve: 3n + 2 = n + 32. What is n?
14. 14.A father is 12 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
15. 15.The sum of two consecutive whole numbers is 41. What is the largest of them?
16. 16.Solve: 8y + 9 = y + 51. What is y?
17. 17.The length of a rectangle is 6 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
18. 18.Solve: 5(m − 2) = m + 10. What is m?
19. 19.A father is 24 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
20. 20.The length of a rectangle is 8 cm more than its width. Its perimeter is 92 cm. What is its width (in cm)?
21. 21.Solve: 4(y − 3) = 3y + 7. What is y?
22. 22.The length of a rectangle is 3 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
23. 23.The sum of three consecutive whole numbers is 108. What is the smallest of them?
24. 24.Solve: 9n + 12 = 5n + 72. What is n?
25. 25.Solve: x/4 + x/6 = 20. What is x?
26. 26.Solve: t/2 + t/6 = 4. What is t?
27. 27.Solve: 6t + 16 = 5t + 31. What is t?
28. 28.The length of a rectangle is 2 cm more than its width. Its perimeter is 112 cm. What is its width (in cm)?
29. 29.The sum of four consecutive whole numbers is 34. What is the largest of them?
30. 30.The length of a rectangle is 10 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
31. 31.The length of a rectangle is 15 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
32. 32.The sum of three consecutive whole numbers is 60. What is the largest of them?
33. 33.Solve: 5(m − 4) = m + 12. What is m?
34. 34.The length of a rectangle is 12 cm more than its width. Its perimeter is 140 cm. What is its width (in cm)?
35. 35.Solve: m/6 + m/2 = 8. What is m?
36. 36.A father is 5 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
37. 37.The sum of three consecutive whole numbers is 57. What is the smallest of them?
38. 38.The sum of three consecutive whole numbers is 24. What is the largest of them?
39. 39.Solve: 9p + 2 = 6p + 35. What is p?
40. 40.Solve: 8m + 10 = m + 45. What is m?

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