Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 740 · 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: 4(t − 1) = 2t + 16. What is t?
2. 2.Solve: 3(y − 3) = y + 21. What is y?
3. 3.The length of a rectangle is 9 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
4. 4.Solve: 5x + 6 = 4x + 19. What is x?
5. 5.Solve: x/2 + x/5 = 28. What is x?
6. 6.Solve: 3(p − 1) = 2p + 8. What is p?
7. 7.A father is 39 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
8. 8.A father is 8 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
9. 9.The sum of three consecutive whole numbers is 129. What is the smallest of them?
10. 10.The length of a rectangle is 8 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
11. 11.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?
12. 12.Solve: 3(x − 5) = x + 7. What is x?
13. 13.The length of a rectangle is 2 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
14. 14.Solve: 8x + 20 = 3x + 65. What is x?
15. 15.Solve: 5(y − 5) = y + 47. What is y?
16. 16.Solve: 4(n − 1) = 3n + 7. What is n?
17. 17.The length of a rectangle is 4 cm more than its width. Its perimeter is 76 cm. What is its width (in cm)?
18. 18.Solve: 4p + 6 = 2p + 14. What is p?
19. 19.Solve: 5(p − 5) = 2p + 26. What is p?
20. 20.Solve: 4(x − 2) = 2x + 4. What is x?
21. 21.A father is 18 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
22. 22.The length of a rectangle is 9 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
23. 23.Solve: x/4 + x/2 = 12. What is x?
24. 24.Solve: 3(p − 4) = p + 8. What is p?
25. 25.The sum of two consecutive whole numbers is 121. What is the largest of them?
26. 26.The sum of two consecutive whole numbers is 29. What is the smallest of them?
27. 27.The sum of four consecutive whole numbers is 86. What is the smallest of them?
28. 28.Solve: x/2 + x/5 = 7. What is x?
29. 29.A father is 22 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?
30. 30.Solve: 6y + 14 = 2y + 62. What is y?
31. 31.The sum of four consecutive whole numbers is 110. What is the largest of them?
32. 32.The sum of three consecutive whole numbers is 39. What is the smallest of them?
33. 33.The sum of four consecutive whole numbers is 226. What is the smallest of them?
34. 34.The sum of four consecutive whole numbers is 142. What is the largest of them?
35. 35.Solve: 6(x − 1) = x + 39. What is x?
36. 36.Solve: 3(t − 2) = 2t + 11. What is t?
37. 37.The sum of two consecutive whole numbers is 29. What is the largest of them?
38. 38.A father is 9 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
39. 39.A father is 42 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.Solve: 3p + 6 = p + 30. What is p?

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