Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 54 · 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(y − 5) = y + 55. What is y?
2. 2.The sum of four consecutive whole numbers is 118. What is the smallest of them?
3. 3.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?
4. 4.A father is 40 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?
5. 5.The length of a rectangle is 2 cm more than its width. Its perimeter is 20 cm. What is its width (in cm)?
6. 6.Solve: 9n + 20 = 5n + 64. What is n?
7. 7.The sum of two consecutive whole numbers is 113. What is the smallest of them?
8. 8.The length of a rectangle is 1 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
9. 9.A father is 26 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?
10. 10.Solve: m/6 + m/4 = 30. What is m?
11. 11.Solve: 5(y − 5) = 4y + 12. What is y?
12. 12.Solve: p/4 + p/6 = 5. What is p?
13. 13.The length of a rectangle is 15 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
14. 14.Solve: 6(t − 1) = 5t + 3. What is t?
15. 15.Solve: 9y + 5 = 7y + 33. What is y?
16. 16.Solve: 5x + 2 = x + 54. What is x?
17. 17.Solve: 3m + 12 = m + 30. What is m?
18. 18.The length of a rectangle is 7 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
19. 19.Solve: 5y + 20 = 2y + 65. What is y?
20. 20.The length of a rectangle is 12 cm more than its width. Its perimeter is 124 cm. What is its width (in cm)?
21. 21.Solve: p/6 + p/4 = 30. What is p?
22. 22.The sum of four consecutive whole numbers is 38. What is the smallest of them?
23. 23.The length of a rectangle is 6 cm more than its width. Its perimeter is 104 cm. What is its width (in cm)?
24. 24.The sum of three consecutive whole numbers is 21. What is the largest of them?
25. 25.The length of a rectangle is 5 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
26. 26.The sum of four consecutive whole numbers is 74. What is the largest of them?
27. 27.A father is 13 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
28. 28.The length of a rectangle is 14 cm more than its width. Its perimeter is 148 cm. What is its width (in cm)?
29. 29.Solve: t/6 + t/4 = 30. What is t?
30. 30.Solve: 8y + 1 = 2y + 31. What is y?
31. 31.Solve: 3(y − 5) = 2y + 9. What is y?
32. 32.Solve: 3m + 19 = 2m + 34. What is m?
33. 33.The length of a rectangle is 12 cm more than its width. Its perimeter is 104 cm. What is its width (in cm)?
34. 34.The sum of two consecutive whole numbers is 53. What is the smallest of them?
35. 35.Solve: 3(p − 4) = 2p + 13. What is p?
36. 36.The sum of three consecutive whole numbers is 60. What is the smallest of them?
37. 37.The length of a rectangle is 4 cm more than its width. Its perimeter is 76 cm. What is its width (in cm)?
38. 38.Solve: p/3 + p/5 = 40. What is p?
39. 39.Solve: 6(y − 1) = y + 49. What is y?
40. 40.Solve: 5t + 2 = 3t + 26. What is t?

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