Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 243 · 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 21 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?
2. 2.Solve: x/6 + x/5 = 33. What is x?
3. 3.Solve: 4(t − 2) = t + 13. What is t?
4. 4.Solve: 5(n − 4) = n + 12. What is n?
5. 5.Solve: 3(y − 4) = y + 16. What is y?
6. 6.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?
7. 7.The length of a rectangle is 13 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
8. 8.The sum of two consecutive whole numbers is 31. What is the smallest of them?
9. 9.The sum of four consecutive whole numbers is 86. What is the largest of them?
10. 10.Solve: 5(t − 5) = 2t + 35. What is t?
11. 11.Solve: 4(p − 5) = 2p + 12. What is p?
12. 12.A father is 39 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?
13. 13.The sum of two consecutive whole numbers is 19. What is the largest of them?
14. 14.The length of a rectangle is 7 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
15. 15.A father is 24 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?
16. 16.Solve: 3(t − 5) = t + 1. What is t?
17. 17.The length of a rectangle is 4 cm more than its width. Its perimeter is 20 cm. What is its width (in cm)?
18. 18.Solve: 4y + 13 = 2y + 43. What is y?
19. 19.Solve: 3p + 10 = 2p + 25. What is p?
20. 20.Solve: 8t + 15 = 2t + 45. What is t?
21. 21.Solve: 5n + 12 = 3n + 42. What is n?
22. 22.The sum of four consecutive whole numbers is 106. What is the smallest of them?
23. 23.Solve: 5(n − 2) = 2n + 38. What is n?
24. 24.The sum of four consecutive whole numbers is 62. What is the largest of them?
25. 25.The length of a rectangle is 8 cm more than its width. Its perimeter is 132 cm. What is its width (in cm)?
26. 26.The sum of two consecutive whole numbers is 47. What is the largest of them?
27. 27.Solve: p/5 + p/6 = 22. What is p?
28. 28.The length of a rectangle is 5 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
29. 29.Solve: 8y + 3 = 4y + 23. What is y?
30. 30.The sum of two consecutive whole numbers is 85. What is the smallest of them?
31. 31.Solve: p/5 + p/3 = 40. What is p?
32. 32.The sum of three consecutive whole numbers is 96. What is the largest of them?
33. 33.Solve: 3(y − 3) = y + 19. What is y?
34. 34.A father is 22 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?
35. 35.Solve: 9p + 19 = 4p + 49. What is p?
36. 36.A father is 15 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?
37. 37.The sum of three consecutive whole numbers is 156. What is the smallest of them?
38. 38.Solve: 6(p − 1) = p + 44. What is p?
39. 39.Solve: 5(m − 3) = 2m + 30. What is m?
40. 40.Solve: 3x + 12 = 2x + 24. What is x?

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