Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 505 · 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 1 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
2. 2.The length of a rectangle is 3 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
3. 3.The length of a rectangle is 15 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
4. 4.Solve: 5y + 6 = 3y + 8. What is y?
5. 5.Solve: 3(y − 3) = y + 11. What is y?
6. 6.The sum of three consecutive whole numbers is 168. What is the largest of them?
7. 7.Solve: n/6 + n/3 = 21. What is n?
8. 8.A father is 10 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
9. 9.The sum of two consecutive whole numbers is 37. What is the largest of them?
10. 10.Solve: 4(m − 4) = 2m + 6. What is m?
11. 11.Solve: t/6 + t/3 = 24. What is t?
12. 12.Solve: y/2 + y/6 = 32. What is y?
13. 13.Solve: p/3 + p/2 = 5. What is p?
14. 14.The length of a rectangle is 9 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
15. 15.Solve: 3(t − 1) = t + 23. What is t?
16. 16.The sum of four consecutive whole numbers is 230. What is the smallest of them?
17. 17.Solve: 4(t − 2) = 3t + 6. What is t?
18. 18.The sum of three consecutive whole numbers is 150. What is the largest of them?
19. 19.The sum of four consecutive whole numbers is 158. What is the smallest of them?
20. 20.Solve: 8m + 9 = 4m + 61. What is m?
21. 21.Solve: 9t + 14 = 7t + 18. What is t?
22. 22.The sum of two consecutive whole numbers is 93. What is the largest of them?
23. 23.The sum of three consecutive whole numbers is 21. What is the largest of them?
24. 24.The sum of four consecutive whole numbers is 246. What is the largest of them?
25. 25.The sum of two consecutive whole numbers is 119. What is the largest of them?
26. 26.A father is 14 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
27. 27.Solve: 3(n − 2) = n + 26. What is n?
28. 28.Solve: 8y + 13 = 3y + 58. What is y?
29. 29.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?
30. 30.The length of a rectangle is 9 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
31. 31.Solve: 3(y − 4) = y + 16. What is y?
32. 32.The sum of three consecutive whole numbers is 96. What is the largest of them?
33. 33.The sum of four consecutive whole numbers is 106. What is the largest of them?
34. 34.The length of a rectangle is 2 cm more than its width. Its perimeter is 92 cm. What is its width (in cm)?
35. 35.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?
36. 36.Solve: 5t + 15 = 2t + 24. What is t?
37. 37.Solve: 7p + 7 = p + 49. What is p?
38. 38.Solve: 7m + 20 = 2m + 35. What is m?
39. 39.Solve: x/3 + x/4 = 56. What is x?
40. 40.The sum of four consecutive whole numbers is 234. What is the smallest of them?

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