Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 190 · 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 99. What is the largest of them?
2. 2.The sum of four consecutive whole numbers is 78. What is the smallest of them?
3. 3.Solve: 6(x − 3) = 3x + 33. What is x?
4. 4.The sum of two consecutive whole numbers is 121. What is the smallest of them?
5. 5.Solve: 4(x − 1) = 2x + 24. What is x?
6. 6.Solve: p/3 + p/4 = 42. What is p?
7. 7.Solve: 7x + 13 = 5x + 21. What is x?
8. 8.Solve: 3n + 3 = n + 19. What is n?
9. 9.A father is 10 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
10. 10.The length of a rectangle is 9 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
11. 11.Solve: 8p + 11 = 3p + 61. What is p?
12. 12.Solve: 9t + 18 = 4t + 73. What is t?
13. 13.Solve: 5x + 7 = 2x + 13. What is x?
14. 14.Solve: 5(x − 2) = 2x + 29. What is x?
15. 15.Solve: 4m + 8 = 2m + 30. What is m?
16. 16.Solve: x/4 + x/3 = 7. What is x?
17. 17.Solve: 7n + 13 = 6n + 26. What is n?
18. 18.The length of a rectangle is 13 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
19. 19.The sum of three consecutive whole numbers is 162. What is the smallest of them?
20. 20.Solve: x/5 + x/4 = 72. What is x?
21. 21.The length of a rectangle is 14 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
22. 22.A father is 24 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
23. 23.The sum of two consecutive whole numbers is 63. What is the largest of them?
24. 24.The length of a rectangle is 13 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
25. 25.A father is 33 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
26. 26.Solve: 5(t − 1) = 4t + 9. What is t?
27. 27.The sum of four consecutive whole numbers is 46. What is the smallest of them?
28. 28.The sum of four consecutive whole numbers is 82. What is the largest of them?
29. 29.Solve: y/5 + y/4 = 9. What is y?
30. 30.The sum of three consecutive whole numbers is 108. What is the largest of them?
31. 31.Solve: n/6 + n/2 = 28. What is n?
32. 32.A father is 9 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
33. 33.The sum of four consecutive whole numbers is 198. What is the smallest of them?
34. 34.A father is 10 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
35. 35.The length of a rectangle is 6 cm more than its width. Its perimeter is 124 cm. What is its width (in cm)?
36. 36.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?
37. 37.The sum of three consecutive whole numbers is 111. What is the largest of them?
38. 38.The length of a rectangle is 13 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
39. 39.A father is 24 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
40. 40.Solve: 5(n − 2) = 3n + 12. What is n?

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