Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 435 · 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.A father is 48 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?
2. 2.The sum of four consecutive whole numbers is 26. What is the smallest of them?
3. 3.Solve: 9x + 15 = 3x + 105. What is x?
4. 4.The length of a rectangle is 7 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
5. 5.Solve: 4x + 19 = 3x + 27. What is x?
6. 6.The length of a rectangle is 7 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
7. 7.The length of a rectangle is 6 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
8. 8.Solve: 6p + 7 = 5p + 10. What is p?
9. 9.A father is 30 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?
10. 10.The length of a rectangle is 5 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
11. 11.Solve: 6x + 10 = x + 75. What is x?
12. 12.Solve: 7y + 17 = 6y + 30. What is y?
13. 13.Solve: m/6 + m/5 = 77. What is m?
14. 14.Solve: 3(p − 3) = 2p + 13. What is p?
15. 15.Solve: y/5 + y/4 = 72. What is y?
16. 16.The length of a rectangle is 5 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
17. 17.Solve: 3(y − 2) = y + 16. What is y?
18. 18.The sum of two consecutive whole numbers is 27. What is the largest of them?
19. 19.The sum of two consecutive whole numbers is 111. What is the smallest of them?
20. 20.A father is 27 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
21. 21.The sum of four consecutive whole numbers is 150. What is the largest of them?
22. 22.Solve: 8y + 17 = 2y + 47. What is y?
23. 23.Solve: 4(p − 2) = 3p + 12. What is p?
24. 24.A father is 10 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?
25. 25.Solve: 5(m − 5) = m + 3. What is m?
26. 26.The sum of three consecutive whole numbers is 57. What is the smallest of them?
27. 27.A father is 32 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?
28. 28.The sum of two consecutive whole numbers is 85. What is the smallest of them?
29. 29.Solve: 6(x − 5) = x + 50. What is x?
30. 30.The sum of two consecutive whole numbers is 37. What is the smallest of them?
31. 31.A father is 22 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?
32. 32.The length of a rectangle is 1 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
33. 33.The sum of three consecutive whole numbers is 66. What is the smallest of them?
34. 34.Solve: 8x + 9 = 6x + 15. What is x?
35. 35.A father is 11 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
36. 36.Solve: 5(n − 3) = 2n + 24. What is n?
37. 37.The length of a rectangle is 11 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
38. 38.Solve: 6(y − 4) = 4y + 26. What is y?
39. 39.Solve: 3n + 20 = n + 22. What is n?
40. 40.A father is 28 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?

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