Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 120 · 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 12 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
2. 2.Solve: t/5 + t/3 = 40. What is t?
3. 3.Solve: 3x + 3 = x + 25. What is x?
4. 4.The sum of two consecutive whole numbers is 45. What is the smallest of them?
5. 5.The sum of three consecutive whole numbers is 150. What is the smallest of them?
6. 6.Solve: 3(m − 4) = m + 6. What is m?
7. 7.Solve: 4t + 2 = t + 44. What is t?
8. 8.A father is 34 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?
9. 9.The sum of three consecutive whole numbers is 126. What is the smallest of them?
10. 10.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?
11. 11.The length of a rectangle is 7 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
12. 12.Solve: 7y + 4 = 6y + 5. What is y?
13. 13.The sum of two consecutive whole numbers is 57. What is the largest of them?
14. 14.A father is 30 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?
15. 15.Solve: t/5 + t/6 = 22. What is t?
16. 16.Solve: 3(t − 1) = 2t + 5. What is t?
17. 17.The length of a rectangle is 15 cm more than its width. Its perimeter is 146 cm. What is its width (in cm)?
18. 18.Solve: 5(x − 3) = 3x + 21. What is x?
19. 19.Solve: 4(t − 3) = 2t + 14. What is t?
20. 20.Solve: 6(t − 5) = 5t + 3. What is t?
21. 21.Solve: n/2 + n/4 = 6. What is n?
22. 22.Solve: 4y + 8 = 3y + 19. What is y?
23. 23.The length of a rectangle is 13 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
24. 24.A father is 20 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?
25. 25.Solve: 5(n − 1) = 2n + 31. What is n?
26. 26.Solve: 3(t − 4) = t + 20. What is t?
27. 27.Solve: p/2 + p/5 = 42. What is p?
28. 28.Solve: p/3 + p/4 = 7. What is p?
29. 29.A father is 20 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?
30. 30.A father is 15 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
31. 31.The length of a rectangle is 1 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
32. 32.Solve: 6(t − 2) = 5t + 5. What is t?
33. 33.The sum of two consecutive whole numbers is 111. What is the smallest of them?
34. 34.A father is 42 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?
35. 35.The sum of two consecutive whole numbers is 55. What is the smallest of them?
36. 36.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?
37. 37.The length of a rectangle is 6 cm more than its width. Its perimeter is 104 cm. What is its width (in cm)?
38. 38.Solve: 3(t − 1) = t + 3. What is t?
39. 39.The length of a rectangle is 9 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
40. 40.The sum of three consecutive whole numbers is 60. What is the largest of them?

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