Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 402 · 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: 6m + 15 = m + 75. What is m?
2. 2.Solve: p/6 + p/3 = 6. What is p?
3. 3.The length of a rectangle is 15 cm more than its width. Its perimeter is 142 cm. What is its width (in cm)?
4. 4.The length of a rectangle is 14 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
5. 5.Solve: 9m + 16 = 2m + 72. What is m?
6. 6.The length of a rectangle is 13 cm more than its width. Its perimeter is 138 cm. What is its width (in cm)?
7. 7.Solve: x/3 + x/2 = 5. What is x?
8. 8.Solve: y/2 + y/3 = 30. What is y?
9. 9.The sum of four consecutive whole numbers is 98. What is the largest of them?
10. 10.The length of a rectangle is 14 cm more than its width. Its perimeter is 72 cm. What is its width (in cm)?
11. 11.The sum of four consecutive whole numbers is 150. What is the smallest of them?
12. 12.The length of a rectangle is 11 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
13. 13.Solve: n/6 + n/2 = 24. What is n?
14. 14.Solve: n/2 + n/4 = 15. What is n?
15. 15.Solve: 3(y − 4) = y + 24. What is y?
16. 16.A father is 5 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
17. 17.Solve: 4(y − 5) = 3y + 7. What is y?
18. 18.The length of a rectangle is 3 cm more than its width. Its perimeter is 22 cm. What is its width (in cm)?
19. 19.The length of a rectangle is 13 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
20. 20.Solve: 3(t − 4) = t + 6. What is t?
21. 21.The sum of four consecutive whole numbers is 138. What is the smallest of them?
22. 22.The sum of four consecutive whole numbers is 174. What is the largest of them?
23. 23.Solve: 9x + 20 = 2x + 104. What is x?
24. 24.Solve: 6y + 7 = 2y + 39. What is y?
25. 25.The sum of four consecutive whole numbers is 102. What is the smallest of them?
26. 26.The length of a rectangle is 15 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
27. 27.The length of a rectangle is 13 cm more than its width. Its perimeter is 126 cm. What is its width (in cm)?
28. 28.The length of a rectangle is 11 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
29. 29.Solve: 4(y − 5) = 3y + 4. What is y?
30. 30.A father is 11 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
31. 31.A father is 26 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?
32. 32.Solve: 5(x − 1) = 2x + 34. What is x?
33. 33.A father is 10 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
34. 34.A father is 30 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?
35. 35.The length of a rectangle is 14 cm more than its width. Its perimeter is 148 cm. What is its width (in cm)?
36. 36.Solve: n/2 + n/6 = 4. What is n?
37. 37.Solve: 5n + 6 = n + 26. What is n?
38. 38.A father is 34 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?
39. 39.Solve: 6(m − 5) = m + 60. What is m?
40. 40.The length of a rectangle is 13 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?

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