Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 86 · 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: 6(m − 5) = 4m + 8. What is m?
2. 2.Solve: t/5 + t/2 = 42. What is t?
3. 3.Solve: 3(n − 2) = 2n + 13. What is n?
4. 4.Solve: n/4 + n/6 = 10. What is n?
5. 5.Solve: p/4 + p/2 = 6. What is p?
6. 6.Solve: 4(t − 4) = 3t + 12. What is t?
7. 7.A father is 13 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
8. 8.Solve: 4(p − 3) = 2p + 6. What is p?
9. 9.Solve: 9n + 16 = 6n + 22. What is n?
10. 10.A father is 12 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
11. 11.Solve: 4t + 13 = t + 28. What is t?
12. 12.The sum of three consecutive whole numbers is 90. What is the smallest of them?
13. 13.Solve: 3(t − 4) = t + 14. What is t?
14. 14.Solve: 5(n − 2) = 3n + 22. What is n?
15. 15.Solve: 6n + 7 = 4n + 9. What is n?
16. 16.A father is 8 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
17. 17.The length of a rectangle is 8 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
18. 18.The length of a rectangle is 2 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
19. 19.The length of a rectangle is 15 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
20. 20.Solve: t/6 + t/2 = 16. What is t?
21. 21.Solve: n/2 + n/3 = 35. What is n?
22. 22.The length of a rectangle is 12 cm more than its width. Its perimeter is 92 cm. What is its width (in cm)?
23. 23.The length of a rectangle is 4 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
24. 24.The sum of three consecutive whole numbers is 171. What is the smallest of them?
25. 25.Solve: y/6 + y/4 = 20. What is y?
26. 26.The sum of two consecutive whole numbers is 81. What is the smallest of them?
27. 27.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?
28. 28.The length of a rectangle is 3 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
29. 29.A father is 16 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.The length of a rectangle is 6 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
31. 31.The length of a rectangle is 3 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
32. 32.Solve: 4y + 8 = 3y + 11. What is y?
33. 33.The sum of two consecutive whole numbers is 55. What is the largest of them?
34. 34.Solve: 8n + 20 = 7n + 22. What is n?
35. 35.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?
36. 36.The length of a rectangle is 4 cm more than its width. Its perimeter is 28 cm. What is its width (in cm)?
37. 37.Solve: 6(y − 5) = 3y + 9. What is y?
38. 38.Solve: 4(x − 2) = 3x + 1. What is x?
39. 39.The sum of three consecutive whole numbers is 18. What is the largest of them?
40. 40.The sum of two consecutive whole numbers is 29. What is the smallest of them?

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets