Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 152 · 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 14 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
2. 2.The sum of two consecutive whole numbers is 49. What is the smallest of them?
3. 3.A father is 22 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?
4. 4.Solve: 9y + 16 = 6y + 37. What is y?
5. 5.The sum of two consecutive whole numbers is 69. What is the smallest of them?
6. 6.Solve: 3(x − 2) = 2x + 9. What is x?
7. 7.The length of a rectangle is 3 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
8. 8.The length of a rectangle is 11 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
9. 9.The sum of two consecutive whole numbers is 57. What is the smallest of them?
10. 10.Solve: 4(n − 2) = n + 22. What is n?
11. 11.A father is 24 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?
12. 12.Solve: x/5 + x/3 = 8. What is x?
13. 13.Solve: m/2 + m/5 = 21. What is m?
14. 14.Solve: n/5 + n/3 = 8. What is n?
15. 15.Solve: 6(p − 2) = 2p + 40. What is p?
16. 16.Solve: 5p + 20 = 4p + 32. What is p?
17. 17.The length of a rectangle is 2 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
18. 18.Solve: 8x + 14 = 6x + 38. What is x?
19. 19.The sum of four consecutive whole numbers is 182. What is the smallest of them?
20. 20.The sum of two consecutive whole numbers is 101. What is the largest of them?
21. 21.A father is 18 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?
22. 22.Solve: 4p + 11 = p + 14. What is p?
23. 23.Solve: 6(p − 5) = 5p + 6. What is p?
24. 24.The length of a rectangle is 11 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
25. 25.Solve: t/5 + t/6 = 33. What is t?
26. 26.Solve: 3(m − 1) = m + 13. What is m?
27. 27.Solve: 3(x − 2) = x + 10. What is x?
28. 28.Solve: 9x + 6 = x + 78. What is x?
29. 29.A father is 11 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
30. 30.A father is 7 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
31. 31.Solve: 6n + 16 = 2n + 24. What is n?
32. 32.Solve: t/6 + t/4 = 35. What is t?
33. 33.Solve: 3(n − 1) = n + 25. What is n?
34. 34.Solve: 3(x − 1) = 2x + 11. What is x?
35. 35.The sum of four consecutive whole numbers is 94. What is the smallest of them?
36. 36.The sum of two consecutive whole numbers is 41. What is the largest of them?
37. 37.A father is 48 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
38. 38.Solve: 5(m − 4) = m + 12. What is m?
39. 39.The sum of three consecutive whole numbers is 24. What is the largest of them?
40. 40.The length of a rectangle is 14 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?

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