Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 594 · 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 15 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
2. 2.Solve: 6(x − 1) = 5x + 10. What is x?
3. 3.Solve: n/4 + n/5 = 63. What is n?
4. 4.A father is 9 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
5. 5.Solve: 6(y − 2) = 5y + 2. What is y?
6. 6.Solve: 3n + 8 = n + 10. What is n?
7. 7.Solve: m/3 + m/2 = 35. What is m?
8. 8.Solve: 3(y − 4) = y + 24. What is y?
9. 9.Solve: 3t + 13 = t + 41. What is t?
10. 10.Solve: y/6 + y/3 = 3. What is y?
11. 11.Solve: y/3 + y/6 = 18. What is y?
12. 12.The length of a rectangle is 2 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
13. 13.Solve: 3(n − 2) = 2n + 1. What is n?
14. 14.Solve: x/5 + x/3 = 16. What is x?
15. 15.The sum of two consecutive whole numbers is 39. What is the smallest of them?
16. 16.Solve: 9m + 5 = m + 61. What is m?
17. 17.The sum of four consecutive whole numbers is 162. What is the largest of them?
18. 18.Solve: 3(n − 1) = n + 15. What is n?
19. 19.The sum of two consecutive whole numbers is 23. What is the smallest of them?
20. 20.Solve: m/3 + m/2 = 10. What is m?
21. 21.Solve: 3(x − 2) = 2x + 2. What is x?
22. 22.The length of a rectangle is 13 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
23. 23.A father is 10 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
24. 24.The length of a rectangle is 10 cm more than its width. Its perimeter is 124 cm. What is its width (in cm)?
25. 25.A father is 12 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?
26. 26.A father is 6 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?
27. 27.Solve: 4(p − 3) = 2p + 26. What is p?
28. 28.A father is 48 years older than his son. In 4 years, the father will be four times as old as his son. How old is the son now?
29. 29.A father is 39 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?
30. 30.The sum of two consecutive whole numbers is 97. What is the smallest of them?
31. 31.Solve: 3(x − 1) = x + 15. What is x?
32. 32.The sum of four consecutive whole numbers is 130. What is the largest of them?
33. 33.The sum of two consecutive whole numbers is 45. What is the largest of them?
34. 34.Solve: 4t + 8 = t + 17. What is t?
35. 35.A father is 39 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
36. 36.Solve: 9p + 3 = 2p + 59. What is p?
37. 37.The length of a rectangle is 3 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
38. 38.Solve: n/6 + n/3 = 12. What is n?
39. 39.Solve: p/2 + p/3 = 25. What is p?
40. 40.A father is 18 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?

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