Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 912 · 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: 5(p − 4) = 2p + 19. What is p?
2. 2.The length of a rectangle is 12 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
3. 3.The length of a rectangle is 13 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
4. 4.Solve: 4(y − 2) = 3y + 1. What is y?
5. 5.Solve: 5(y − 4) = y + 48. What is y?
6. 6.Solve: 5(x − 1) = 3x + 13. What is x?
7. 7.Solve: 8y + 5 = 7y + 6. What is y?
8. 8.Solve: 6y + 20 = 2y + 60. What is y?
9. 9.Solve: 3t + 4 = 2t + 15. What is t?
10. 10.The sum of four consecutive whole numbers is 78. What is the largest of them?
11. 11.The length of a rectangle is 6 cm more than its width. Its perimeter is 24 cm. What is its width (in cm)?
12. 12.A father is 4 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
13. 13.A father is 26 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?
14. 14.Solve: 3y + 17 = 2y + 24. What is y?
15. 15.Solve: 6(m − 1) = 2m + 38. What is m?
16. 16.A father is 45 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?
17. 17.Solve: 3(t − 1) = 2t + 3. What is t?
18. 18.Solve: 3(n − 1) = n + 1. What is n?
19. 19.A father is 13 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
20. 20.A father is 6 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
21. 21.Solve: 7y + 14 = 6y + 27. What is y?
22. 22.Solve: 6(p − 4) = 2p + 52. What is p?
23. 23.Solve: 4t + 12 = t + 24. What is t?
24. 24.Solve: 4n + 17 = n + 44. What is n?
25. 25.The length of a rectangle is 13 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
26. 26.Solve: p/3 + p/5 = 8. What is p?
27. 27.Solve: 5(n − 2) = 3n + 4. What is n?
28. 28.Solve: p/5 + p/4 = 72. What is p?
29. 29.Solve: p/4 + p/3 = 42. What is p?
30. 30.A father is 54 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?
31. 31.Solve: x/3 + x/5 = 8. What is x?
32. 32.The length of a rectangle is 15 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
33. 33.A father is 24 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?
34. 34.Solve: 7p + 20 = 2p + 75. What is p?
35. 35.The length of a rectangle is 8 cm more than its width. Its perimeter is 28 cm. What is its width (in cm)?
36. 36.A father is 15 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?
37. 37.The sum of three consecutive whole numbers is 174. What is the smallest of them?
38. 38.A father is 14 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.Solve: 5(y − 2) = 4y + 2. What is y?
40. 40.A father is 6 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?

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