Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 600 · 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 two consecutive whole numbers is 115. What is the largest of them?
2. 2.Solve: 3y + 13 = 2y + 27. What is y?
3. 3.Solve: 4(x − 1) = 2x + 18. What is x?
4. 4.Solve: 3y + 3 = y + 33. What is y?
5. 5.The sum of three consecutive whole numbers is 24. What is the largest of them?
6. 6.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?
7. 7.The sum of four consecutive whole numbers is 70. What is the largest of them?
8. 8.The length of a rectangle is 10 cm more than its width. Its perimeter is 104 cm. What is its width (in cm)?
9. 9.Solve: 5(n − 3) = 4n + 11. What is n?
10. 10.Solve: 3x + 17 = 2x + 19. What is x?
11. 11.Solve: 4t + 8 = 3t + 14. What is t?
12. 12.The sum of three consecutive whole numbers is 21. What is the smallest of them?
13. 13.The length of a rectangle is 9 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
14. 14.The sum of two consecutive whole numbers is 25. What is the smallest of them?
15. 15.Solve: 4(x − 5) = 3x + 8. What is x?
16. 16.Solve: 4(y − 2) = 2y + 26. What is y?
17. 17.Solve: 6(y − 4) = y + 51. What is y?
18. 18.Solve: 3(t − 1) = t + 19. What is t?
19. 19.Solve: 5y + 16 = 4y + 21. What is y?
20. 20.The sum of two consecutive whole numbers is 43. What is the largest of them?
21. 21.A father is 12 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
22. 22.The sum of two consecutive whole numbers is 107. What is the largest of them?
23. 23.The length of a rectangle is 6 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
24. 24.Solve: 4(p − 4) = 3p + 4. What is p?
25. 25.The sum of four consecutive whole numbers is 38. What is the largest of them?
26. 26.The sum of two consecutive whole numbers is 113. What is the largest of them?
27. 27.The length of a rectangle is 12 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
28. 28.The sum of two consecutive whole numbers is 83. What is the smallest of them?
29. 29.Solve: 6(n − 1) = 2n + 50. What is n?
30. 30.Solve: 7y + 5 = y + 53. What is y?
31. 31.The sum of two consecutive whole numbers is 93. What is the smallest of them?
32. 32.Solve: 6m + 8 = m + 78. What is m?
33. 33.The sum of three consecutive whole numbers is 18. What is the smallest of them?
34. 34.Solve: n/5 + n/2 = 35. What is n?
35. 35.A father is 32 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
36. 36.Solve: 8p + 2 = 6p + 18. What is p?
37. 37.The sum of two consecutive whole numbers is 47. What is the smallest of them?
38. 38.The sum of two consecutive whole numbers is 91. What is the smallest of them?
39. 39.The length of a rectangle is 6 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
40. 40.The length of a rectangle is 7 cm more than its width. Its perimeter is 22 cm. What is its width (in cm)?

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