Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 366 · 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 5 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
2. 2.Solve: m/3 + m/4 = 14. What is m?
3. 3.A father is 10 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
4. 4.Solve: t/2 + t/4 = 9. What is t?
5. 5.The sum of two consecutive whole numbers is 49. What is the smallest of them?
6. 6.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?
7. 7.Solve: 3(t − 3) = t + 21. What is t?
8. 8.Solve: 3p + 10 = p + 12. What is p?
9. 9.A father is 22 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
10. 10.A father is 32 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?
11. 11.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?
12. 12.The sum of three consecutive whole numbers is 84. What is the largest of them?
13. 13.A father is 20 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
14. 14.The sum of two consecutive whole numbers is 33. What is the largest of them?
15. 15.The length of a rectangle is 12 cm more than its width. Its perimeter is 84 cm. What is its width (in cm)?
16. 16.Solve: 5(y − 2) = 4y + 4. What is y?
17. 17.Solve: 8p + 5 = 4p + 41. What is p?
18. 18.The length of a rectangle is 13 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
19. 19.The length of a rectangle is 13 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
20. 20.A father is 8 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?
21. 21.Solve: 3m + 2 = m + 18. What is m?
22. 22.Solve: p/5 + p/2 = 49. What is p?
23. 23.The sum of two consecutive whole numbers is 51. What is the smallest of them?
24. 24.Solve: 3(n − 1) = n + 13. What is n?
25. 25.Solve: 3(t − 1) = t + 15. What is t?
26. 26.Solve: x/6 + x/5 = 88. What is x?
27. 27.Solve: t/3 + t/2 = 15. What is t?
28. 28.The sum of three consecutive whole numbers is 117. What is the smallest of them?
29. 29.Solve: 4(y − 4) = 2y + 18. What is y?
30. 30.The length of a rectangle is 6 cm more than its width. Its perimeter is 128 cm. What is its width (in cm)?
31. 31.The length of a rectangle is 5 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
32. 32.Solve: 9y + 17 = 4y + 42. What is y?
33. 33.Solve: 6(t − 1) = 4t + 24. What is t?
34. 34.Solve: t/6 + t/3 = 3. What is t?
35. 35.Solve: 6n + 8 = 3n + 44. What is n?
36. 36.A father is 51 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?
37. 37.Solve: 3(m − 2) = 2m + 11. What is m?
38. 38.Solve: 7n + 10 = 2n + 20. What is n?
39. 39.Solve: 8x + 3 = 4x + 55. What is x?
40. 40.The sum of three consecutive whole numbers is 36. What is the largest of them?

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