Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 315 · 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 sum of three consecutive whole numbers is 54. What is the smallest of them?
2. 2.Solve: 5(y − 1) = y + 47. What is y?
3. 3.Solve: x/6 + x/4 = 15. What is x?
4. 4.Solve: 6m + 16 = 2m + 40. What is m?
5. 5.Solve: 4(t − 2) = t + 7. What is t?
6. 6.A father is 6 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
7. 7.Solve: 5(m − 2) = 2m + 26. What is m?
8. 8.Solve: 6(y − 3) = y + 42. What is y?
9. 9.Solve: 7t + 2 = 3t + 26. What is t?
10. 10.A father is 11 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
11. 11.Solve: 5p + 20 = 4p + 24. What is p?
12. 12.The sum of four consecutive whole numbers is 50. What is the largest of them?
13. 13.Solve: 6(m − 2) = 5m + 13. What is m?
14. 14.Solve: 5(n − 2) = 2n + 29. What is n?
15. 15.Solve: 9t + 14 = t + 134. What is t?
16. 16.The sum of three consecutive whole numbers is 156. What is the smallest of them?
17. 17.A father is 12 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
18. 18.Solve: 4(x − 2) = 2x + 26. What is x?
19. 19.The length of a rectangle is 5 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
20. 20.Solve: 3(m − 4) = m + 26. What is m?
21. 21.A father is 21 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
22. 22.Solve: 7y + 1 = 4y + 40. What is y?
23. 23.Solve: 5(p − 3) = 4p + 10. What is p?
24. 24.A father is 36 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?
25. 25.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?
26. 26.Solve: 6y + 7 = 4y + 11. What is y?
27. 27.A father is 8 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?
28. 28.The length of a rectangle is 14 cm more than its width. Its perimeter is 148 cm. What is its width (in cm)?
29. 29.The length of a rectangle is 4 cm more than its width. Its perimeter is 16 cm. What is its width (in cm)?
30. 30.Solve: p/5 + p/3 = 56. What is p?
31. 31.The length of a rectangle is 8 cm more than its width. Its perimeter is 84 cm. What is its width (in cm)?
32. 32.Solve: y/3 + y/2 = 30. What is y?
33. 33.A father is 4 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
34. 34.Solve: 7x + 1 = 4x + 7. What is x?
35. 35.The sum of three consecutive whole numbers is 72. What is the largest of them?
36. 36.The sum of four consecutive whole numbers is 66. What is the smallest of them?
37. 37.Solve: p/5 + p/4 = 27. What is p?
38. 38.The length of a rectangle is 12 cm more than its width. Its perimeter is 84 cm. What is its width (in cm)?
39. 39.Solve: 6x + 9 = 4x + 17. What is x?
40. 40.The length of a rectangle is 14 cm more than its width. Its perimeter is 128 cm. What is its width (in cm)?

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