Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 696 · 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 15 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
2. 2.A father is 28 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
3. 3.Solve: m/2 + m/5 = 7. What is m?
4. 4.The length of a rectangle is 2 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
5. 5.Solve: 5(n − 2) = 4n + 1. What is n?
6. 6.The sum of two consecutive whole numbers is 51. What is the smallest of them?
7. 7.Solve: 7n + 17 = 2n + 32. What is n?
8. 8.Solve: t/3 + t/6 = 9. What is t?
9. 9.Solve: x/6 + x/3 = 6. What is x?
10. 10.Solve: 7p + 8 = 4p + 35. What is p?
11. 11.Solve: 5n + 14 = 3n + 26. What is n?
12. 12.The length of a rectangle is 3 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
13. 13.The sum of two consecutive whole numbers is 39. What is the smallest of them?
14. 14.Solve: 8y + 7 = y + 77. What is y?
15. 15.A father is 18 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
16. 16.The length of a rectangle is 15 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
17. 17.Solve: 7y + 20 = 3y + 80. What is y?
18. 18.The length of a rectangle is 2 cm more than its width. Its perimeter is 36 cm. What is its width (in cm)?
19. 19.The length of a rectangle is 5 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
20. 20.Solve: 4(p − 4) = 3p + 8. What is p?
21. 21.The sum of four consecutive whole numbers is 82. What is the largest of them?
22. 22.The sum of three consecutive whole numbers is 48. What is the smallest of them?
23. 23.A father is 28 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?
24. 24.The length of a rectangle is 3 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
25. 25.Solve: 4(m − 2) = 2m + 26. What is m?
26. 26.The sum of four consecutive whole numbers is 106. What is the largest of them?
27. 27.The sum of three consecutive whole numbers is 108. What is the smallest of them?
28. 28.The sum of three consecutive whole numbers is 24. What is the smallest of them?
29. 29.A father is 13 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
30. 30.The length of a rectangle is 5 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
31. 31.Solve: 4m + 5 = 2m + 21. What is m?
32. 32.Solve: 4x + 14 = x + 35. What is x?
33. 33.The sum of three consecutive whole numbers is 69. What is the largest of them?
34. 34.Solve: 6(x − 2) = 3x + 15. What is x?
35. 35.Solve: x/4 + x/3 = 42. What is x?
36. 36.Solve: y/6 + y/4 = 40. What is y?
37. 37.Solve: 6(t − 3) = t + 52. What is t?
38. 38.Solve: 3(x − 5) = x + 11. What is x?
39. 39.The sum of two consecutive whole numbers is 23. What is the smallest of them?
40. 40.Solve: t/3 + t/2 = 35. What is t?

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