Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 712 · 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: 8n + 1 = 7n + 16. What is n?
2. 2.Solve: 6(x − 2) = 5x + 8. What is x?
3. 3.Solve: x/2 + x/4 = 9. What is x?
4. 4.A father is 24 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
5. 5.A father is 9 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
6. 6.The sum of four consecutive whole numbers is 74. What is the largest of them?
7. 7.The sum of four consecutive whole numbers is 50. What is the smallest of them?
8. 8.A father is 16 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
9. 9.The sum of four consecutive whole numbers is 234. What is the largest of them?
10. 10.Solve: x/4 + x/5 = 18. What is x?
11. 11.Solve: n/2 + n/3 = 35. What is n?
12. 12.Solve: 5(n − 4) = n + 44. What is n?
13. 13.The length of a rectangle is 5 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
14. 14.The length of a rectangle is 11 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
15. 15.Solve: 4y + 20 = 2y + 46. What is y?
16. 16.A father is 51 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?
17. 17.The sum of three consecutive whole numbers is 129. What is the smallest of them?
18. 18.Solve: 3(m − 1) = 2m + 3. What is m?
19. 19.Solve: 6p + 4 = 2p + 60. What is p?
20. 20.Solve: 8p + 17 = 6p + 35. What is p?
21. 21.Solve: 8n + 11 = 3n + 56. What is n?
22. 22.Solve: x/5 + x/6 = 11. What is x?
23. 23.Solve: p/6 + p/2 = 32. What is p?
24. 24.Solve: 3t + 16 = t + 20. What is t?
25. 25.Solve: 8x + 14 = 6x + 28. What is x?
26. 26.Solve: t/2 + t/6 = 4. What is t?
27. 27.The sum of four consecutive whole numbers is 58. What is the largest of them?
28. 28.Solve: 6(n − 2) = n + 33. What is n?
29. 29.Solve: 9y + 3 = 6y + 36. What is y?
30. 30.The sum of four consecutive whole numbers is 194. What is the largest of them?
31. 31.A father is 4 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
32. 32.The length of a rectangle is 8 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
33. 33.A father is 40 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?
34. 34.The length of a rectangle is 8 cm more than its width. Its perimeter is 28 cm. What is its width (in cm)?
35. 35.Solve: t/3 + t/2 = 20. What is t?
36. 36.The sum of two consecutive whole numbers is 119. What is the smallest of them?
37. 37.The sum of four consecutive whole numbers is 106. What is the smallest of them?
38. 38.A father is 34 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
39. 39.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?
40. 40.The length of a rectangle is 3 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?

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