Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 159 · 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 162. What is the smallest of them?
2. 2.The sum of three consecutive whole numbers is 66. What is the largest of them?
3. 3.Solve: 6(p − 5) = 3p + 27. What is p?
4. 4.Solve: 3y + 10 = y + 20. What is y?
5. 5.Solve: 5(x − 3) = 3x + 25. What is x?
6. 6.Solve: 4(m − 3) = 2m + 26. What is m?
7. 7.Solve: y/5 + y/3 = 64. What is y?
8. 8.Solve: 3(y − 4) = y + 18. What is y?
9. 9.The length of a rectangle is 15 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
10. 10.Solve: 5t + 19 = 3t + 23. What is t?
11. 11.Solve: 6(x − 1) = 2x + 34. What is x?
12. 12.A father is 26 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: 3(n − 4) = 2n + 3. What is n?
14. 14.Solve: 6y + 4 = 5y + 13. What is y?
15. 15.Solve: 6t + 9 = 5t + 10. What is t?
16. 16.A father is 12 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?
17. 17.The length of a rectangle is 2 cm more than its width. Its perimeter is 16 cm. What is its width (in cm)?
18. 18.A father is 28 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?
19. 19.Solve: 5n + 8 = 3n + 10. What is n?
20. 20.The sum of two consecutive whole numbers is 61. What is the largest of them?
21. 21.A father is 11 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
22. 22.The length of a rectangle is 11 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
23. 23.A father is 24 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?
24. 24.The sum of three consecutive whole numbers is 117. What is the largest of them?
25. 25.Solve: y/6 + y/5 = 33. What is y?
26. 26.Solve: 7t + 5 = 5t + 23. What is t?
27. 27.Solve: 3(p − 3) = 2p + 6. What is p?
28. 28.A father is 16 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
29. 29.Solve: x/6 + x/4 = 35. What is x?
30. 30.Solve: t/2 + t/3 = 15. What is t?
31. 31.The sum of three consecutive whole numbers is 78. What is the largest of them?
32. 32.A father is 36 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?
33. 33.The length of a rectangle is 6 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
34. 34.Solve: 4(y − 3) = y + 15. What is y?
35. 35.The sum of two consecutive whole numbers is 39. What is the smallest of them?
36. 36.Solve: 5t + 16 = t + 36. What is t?
37. 37.The length of a rectangle is 15 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
38. 38.The sum of four consecutive whole numbers is 154. What is the smallest of them?
39. 39.A father is 30 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?
40. 40.Solve: 3(y − 2) = 2y + 4. What is y?

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