Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 836 · 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 11 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
2. 2.Solve: 9x + 11 = 2x + 46. What is x?
3. 3.The length of a rectangle is 10 cm more than its width. Its perimeter is 28 cm. What is its width (in cm)?
4. 4.Solve: t/3 + t/5 = 32. What is t?
5. 5.Solve: 5n + 18 = n + 50. What is n?
6. 6.A father is 6 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
7. 7.Solve: 4(n − 4) = 2n + 8. What is n?
8. 8.A father is 34 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?
9. 9.The length of a rectangle is 15 cm more than its width. Its perimeter is 150 cm. What is its width (in cm)?
10. 10.The sum of three consecutive whole numbers is 177. What is the smallest of them?
11. 11.The length of a rectangle is 15 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
12. 12.The sum of two consecutive whole numbers is 45. What is the largest of them?
13. 13.The sum of three consecutive whole numbers is 105. What is the smallest of them?
14. 14.Solve: 9m + 15 = m + 119. What is m?
15. 15.The length of a rectangle is 11 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
16. 16.Solve: 3x + 8 = x + 36. What is x?
17. 17.Solve: 9y + 3 = 2y + 80. What is y?
18. 18.Solve: 6(y − 1) = 3y + 18. What is y?
19. 19.Solve: 9p + 1 = p + 17. What is p?
20. 20.The sum of two consecutive whole numbers is 13. What is the smallest of them?
21. 21.Solve: 5(n − 3) = 2n + 9. What is n?
22. 22.Solve: 4(x − 4) = x + 26. What is x?
23. 23.Solve: t/3 + t/2 = 20. What is t?
24. 24.The length of a rectangle is 11 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
25. 25.A father is 39 years older than his son. In 4 years, the father will be four times as old as his son. How old is the son now?
26. 26.A father is 26 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?
27. 27.Solve: 4(y − 3) = 3y + 1. What is y?
28. 28.Solve: 6(y − 3) = 5y + 5. What is y?
29. 29.Solve: x/4 + x/2 = 6. What is x?
30. 30.Solve: n/4 + n/2 = 12. What is n?
31. 31.Solve: 3(x − 5) = 2x + 12. What is x?
32. 32.A father is 8 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
33. 33.The length of a rectangle is 10 cm more than its width. Its perimeter is 36 cm. What is its width (in cm)?
34. 34.A father is 21 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?
35. 35.Solve: 6t + 11 = 4t + 17. What is t?
36. 36.The sum of two consecutive whole numbers is 53. What is the smallest of them?
37. 37.Solve: 9y + 14 = 7y + 18. What is y?
38. 38.A father is 10 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
39. 39.The length of a rectangle is 4 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
40. 40.Solve: 6(t − 4) = 3t + 18. What is t?

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