Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 658 · 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 length of a rectangle is 14 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
2. 2.The length of a rectangle is 10 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
3. 3.Solve: 9x + 15 = x + 111. What is x?
4. 4.The sum of four consecutive whole numbers is 86. What is the smallest of them?
5. 5.Solve: 6(m − 2) = 5m + 7. What is m?
6. 6.The length of a rectangle is 2 cm more than its width. Its perimeter is 20 cm. What is its width (in cm)?
7. 7.Solve: 5(m − 2) = 3m + 8. What is m?
8. 8.The length of a rectangle is 14 cm more than its width. Its perimeter is 148 cm. What is its width (in cm)?
9. 9.The length of a rectangle is 9 cm more than its width. Its perimeter is 126 cm. What is its width (in cm)?
10. 10.The sum of three consecutive whole numbers is 147. What is the smallest of them?
11. 11.Solve: 4t + 11 = 2t + 25. What is t?
12. 12.Solve: 3(y − 5) = y + 17. What is y?
13. 13.The sum of two consecutive whole numbers is 69. What is the largest of them?
14. 14.Solve: 7n + 17 = 6n + 21. What is n?
15. 15.The sum of two consecutive whole numbers is 71. What is the largest of them?
16. 16.A father is 20 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?
17. 17.Solve: 3(n − 5) = n + 19. What is n?
18. 18.Solve: 7m + 11 = 4m + 14. What is m?
19. 19.Solve: 4(y − 1) = y + 29. What is y?
20. 20.Solve: 4n + 3 = 2n + 25. What is n?
21. 21.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?
22. 22.The sum of two consecutive whole numbers is 89. What is the largest of them?
23. 23.Solve: 4p + 16 = 2p + 32. What is p?
24. 24.Solve: 4y + 16 = y + 52. What is y?
25. 25.Solve: t/3 + t/2 = 20. What is t?
26. 26.Solve: 5(x − 2) = 2x + 5. What is x?
27. 27.Solve: 6(m − 2) = 4m + 24. What is m?
28. 28.A father is 10 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
29. 29.The sum of two consecutive whole numbers is 27. What is the smallest of them?
30. 30.The sum of three consecutive whole numbers is 21. What is the largest of them?
31. 31.The sum of two consecutive whole numbers is 93. What is the smallest of them?
32. 32.The length of a rectangle is 3 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
33. 33.A father is 24 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?
34. 34.Solve: y/6 + y/5 = 22. What is y?
35. 35.The sum of two consecutive whole numbers is 111. What is the smallest of them?
36. 36.Solve: 8m + 17 = 4m + 57. What is m?
37. 37.Solve: 5(n − 4) = 2n + 37. What is n?
38. 38.The length of a rectangle is 11 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
39. 39.A father is 10 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?
40. 40.Solve: 6n + 4 = 2n + 12. What is n?

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