Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 731 · 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.Solve: 6(n − 1) = 2n + 6. What is n?
2. 2.Solve: 3(y − 1) = y + 9. What is y?
3. 3.Solve: 3y + 18 = y + 34. What is y?
4. 4.The sum of three consecutive whole numbers is 39. What is the largest of them?
5. 5.A father is 4 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
6. 6.A father is 39 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?
7. 7.A father is 32 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?
8. 8.A father is 24 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.A father is 8 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
10. 10.Solve: 4m + 4 = 2m + 14. What is m?
11. 11.Solve: n/6 + n/3 = 21. What is n?
12. 12.A father is 24 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
13. 13.Solve: 5(x − 5) = 3x + 15. What is x?
14. 14.A father is 32 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.A father is 3 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
16. 16.A father is 8 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
17. 17.Solve: 7m + 6 = m + 42. What is m?
18. 18.The sum of three consecutive whole numbers is 60. What is the smallest of them?
19. 19.Solve: 3t + 1 = t + 13. What is t?
20. 20.A father is 12 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
21. 21.Solve: 3t + 1 = 2t + 14. What is t?
22. 22.Solve: 5(p − 1) = 4p + 7. What is p?
23. 23.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?
24. 24.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?
25. 25.Solve: y/3 + y/4 = 42. What is y?
26. 26.Solve: 3(p − 3) = p + 9. What is p?
27. 27.The length of a rectangle is 2 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
28. 28.Solve: 4(t − 1) = 3t + 4. What is t?
29. 29.Solve: x/3 + x/2 = 5. What is x?
30. 30.The sum of two consecutive whole numbers is 105. What is the largest of them?
31. 31.The length of a rectangle is 7 cm more than its width. Its perimeter is 134 cm. What is its width (in cm)?
32. 32.A father is 5 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
33. 33.Solve: y/3 + y/2 = 20. What is y?
34. 34.Solve: 3(p − 2) = 2p + 5. What is p?
35. 35.The length of a rectangle is 11 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
36. 36.The length of a rectangle is 13 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
37. 37.Solve: n/3 + n/6 = 21. What is n?
38. 38.Solve: x/2 + x/3 = 20. What is x?
39. 39.The sum of two consecutive whole numbers is 77. What is the smallest of them?
40. 40.Solve: m/5 + m/6 = 55. What is m?

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