Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 879 · 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.A father is 36 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
2. 2.A father is 30 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
3. 3.The length of a rectangle is 1 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
4. 4.Solve: 4t + 20 = 2t + 36. What is t?
5. 5.Solve: 6m + 8 = 5m + 9. What is m?
6. 6.The sum of three consecutive whole numbers is 63. What is the largest of them?
7. 7.The sum of three consecutive whole numbers is 78. What is the smallest of them?
8. 8.Solve: t/6 + t/5 = 55. What is t?
9. 9.Solve: 5(p − 2) = p + 22. What is p?
10. 10.A father is 14 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
11. 11.A father is 10 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
12. 12.A father is 30 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?
13. 13.The sum of two consecutive whole numbers is 105. What is the largest of them?
14. 14.The length of a rectangle is 2 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
15. 15.Solve: 7y + 6 = 3y + 50. What is y?
16. 16.Solve: 4(x − 4) = x + 11. What is x?
17. 17.Solve: 4x + 20 = 3x + 27. What is x?
18. 18.Solve: 3(m − 2) = 2m + 11. What is m?
19. 19.Solve: 4(m − 2) = m + 4. What is m?
20. 20.Solve: 6y + 5 = 2y + 9. What is y?
21. 21.Solve: y/4 + y/6 = 15. What is y?
22. 22.Solve: 3(p − 3) = 2p + 2. What is p?
23. 23.Solve: m/5 + m/4 = 45. What is m?
24. 24.The length of a rectangle is 7 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
25. 25.Solve: 4(t − 3) = t + 39. What is t?
26. 26.Solve: 4(p − 1) = p + 11. What is p?
27. 27.The length of a rectangle is 1 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
28. 28.The length of a rectangle is 1 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
29. 29.Solve: 8m + 2 = 4m + 14. What is m?
30. 30.A father is 28 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.Solve: 6(n − 3) = 4n + 18. What is n?
32. 32.Solve: 6(t − 3) = 5t + 13. What is t?
33. 33.The sum of three consecutive whole numbers is 138. What is the largest of them?
34. 34.A father is 33 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
35. 35.Solve: 8t + 2 = t + 100. What is t?
36. 36.Solve: y/6 + y/5 = 66. What is y?
37. 37.The length of a rectangle is 5 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
38. 38.Solve: 5p + 9 = 4p + 24. What is p?
39. 39.A father is 30 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?
40. 40.Solve: t/5 + t/3 = 64. What is t?

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