Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 530 · 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 45 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: 4(p − 1) = 2p + 26. What is p?
3. 3.The sum of three consecutive whole numbers is 135. What is the smallest of them?
4. 4.Solve: 5(y − 3) = 4y + 2. What is y?
5. 5.The length of a rectangle is 1 cm more than its width. Its perimeter is 18 cm. What is its width (in cm)?
6. 6.The length of a rectangle is 7 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
7. 7.Solve: 5(t − 1) = 2t + 1. What is t?
8. 8.A father is 18 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?
9. 9.Solve: 4x + 10 = 2x + 30. What is x?
10. 10.The length of a rectangle is 5 cm more than its width. Its perimeter is 18 cm. What is its width (in cm)?
11. 11.Solve: 8y + 17 = y + 73. What is y?
12. 12.A father is 16 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
13. 13.Solve: 4(y − 2) = y + 31. What is y?
14. 14.Solve: n/3 + n/6 = 21. What is n?
15. 15.Solve: 4x + 7 = x + 10. What is x?
16. 16.The length of a rectangle is 6 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
17. 17.Solve: n/3 + n/2 = 20. What is n?
18. 18.A father is 19 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
19. 19.Solve: 8p + 17 = 3p + 37. What is p?
20. 20.Solve: 8p + 5 = 6p + 19. What is p?
21. 21.Solve: 4(x − 1) = 3x + 4. What is x?
22. 22.A father is 30 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?
23. 23.Solve: m/2 + m/3 = 15. What is m?
24. 24.The length of a rectangle is 4 cm more than its width. Its perimeter is 16 cm. What is its width (in cm)?
25. 25.A father is 28 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?
26. 26.Solve: m/3 + m/6 = 21. What is m?
27. 27.The length of a rectangle is 13 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
28. 28.The length of a rectangle is 12 cm more than its width. Its perimeter is 128 cm. What is its width (in cm)?
29. 29.A father is 8 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
30. 30.Solve: 7y + 14 = 2y + 44. What is y?
31. 31.A father is 12 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
32. 32.Solve: 4(t − 5) = t + 31. What is t?
33. 33.Solve: m/4 + m/2 = 21. What is m?
34. 34.Solve: 5(p − 1) = 3p + 15. What is p?
35. 35.Solve: 6x + 15 = x + 70. What is x?
36. 36.The length of a rectangle is 11 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
37. 37.The sum of two consecutive whole numbers is 27. What is the largest of them?
38. 38.Solve: 3(t − 4) = t + 4. What is t?
39. 39.The length of a rectangle is 13 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
40. 40.Solve: 7n + 6 = 5n + 34. What is n?

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