Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 401 · 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: 3(n − 5) = n + 25. What is n?
2. 2.A father is 32 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
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.The sum of two consecutive whole numbers is 65. What is the smallest of them?
5. 5.The length of a rectangle is 10 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
6. 6.A father is 18 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?
7. 7.The sum of three consecutive whole numbers is 144. What is the smallest of them?
8. 8.A father is 12 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?
9. 9.Solve: n/2 + n/6 = 12. What is n?
10. 10.A father is 38 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?
11. 11.Solve: 6x + 10 = 2x + 22. What is x?
12. 12.Solve: 4(m − 4) = m + 26. What is m?
13. 13.Solve: m/4 + m/2 = 21. What is m?
14. 14.Solve: 5(y − 3) = 4y + 4. What is y?
15. 15.The sum of two consecutive whole numbers is 31. What is the smallest of them?
16. 16.Solve: 8n + 5 = 6n + 11. What is n?
17. 17.The sum of two consecutive whole numbers is 49. What is the smallest of them?
18. 18.A father is 16 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
19. 19.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?
20. 20.The sum of three consecutive whole numbers is 156. What is the largest of them?
21. 21.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?
22. 22.The sum of three consecutive whole numbers is 105. What is the smallest of them?
23. 23.Solve: y/2 + y/4 = 21. What is y?
24. 24.Solve: 6n + 3 = 2n + 35. What is n?
25. 25.The sum of three consecutive whole numbers is 156. What is the smallest of them?
26. 26.The length of a rectangle is 5 cm more than its width. Its perimeter is 130 cm. What is its width (in cm)?
27. 27.Solve: 4(y − 1) = 2y + 16. What is y?
28. 28.Solve: y/2 + y/3 = 30. What is y?
29. 29.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?
30. 30.The length of a rectangle is 15 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
31. 31.Solve: m/3 + m/4 = 35. What is m?
32. 32.A father is 36 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?
33. 33.The sum of two consecutive whole numbers is 13. What is the largest of them?
34. 34.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?
35. 35.Solve: 4p + 11 = 3p + 21. What is p?
36. 36.Solve: 5x + 20 = 2x + 23. What is x?
37. 37.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?
38. 38.The length of a rectangle is 2 cm more than its width. Its perimeter is 20 cm. What is its width (in cm)?
39. 39.Solve: m/2 + m/3 = 15. What is m?
40. 40.Solve: 3(y − 4) = y + 6. What is y?

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