Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 181 · 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.Solve: x/4 + x/6 = 25. What is x?
2. 2.Solve: 5y + 4 = 4y + 12. What is y?
3. 3.Solve: 3m + 13 = m + 33. What is m?
4. 4.A father is 30 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?
5. 5.The length of a rectangle is 2 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
6. 6.Solve: 3x + 6 = x + 24. What is x?
7. 7.A father is 17 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
8. 8.The length of a rectangle is 1 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
9. 9.Solve: 5(m − 5) = m + 11. What is m?
10. 10.A father is 24 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?
11. 11.The sum of three consecutive whole numbers is 75. What is the largest of them?
12. 12.The sum of two consecutive whole numbers is 79. What is the smallest of them?
13. 13.The length of a rectangle is 10 cm more than its width. Its perimeter is 84 cm. What is its width (in cm)?
14. 14.Solve: 3(n − 1) = n + 25. What is n?
15. 15.The length of a rectangle is 11 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
16. 16.The sum of four consecutive whole numbers is 178. What is the largest of them?
17. 17.Solve: 3(m − 1) = 2m + 1. What is m?
18. 18.The sum of two consecutive whole numbers is 113. What is the smallest of them?
19. 19.Solve: 4(n − 3) = 3n + 12. What is n?
20. 20.Solve: 3(p − 1) = p + 9. What is p?
21. 21.The sum of two consecutive whole numbers is 31. What is the largest of them?
22. 22.Solve: x/5 + x/4 = 72. What is x?
23. 23.A father is 6 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
24. 24.Solve: 4t + 16 = t + 28. What is t?
25. 25.Solve: 6(x − 3) = 5x + 8. What is x?
26. 26.The length of a rectangle is 11 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
27. 27.Solve: 7x + 13 = 4x + 25. What is x?
28. 28.The length of a rectangle is 1 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
29. 29.Solve: 5x + 12 = 2x + 51. What is x?
30. 30.The length of a rectangle is 10 cm more than its width. Its perimeter is 92 cm. What is its width (in cm)?
31. 31.A father is 36 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?
32. 32.Solve: 9n + 18 = 8n + 32. What is n?
33. 33.Solve: 6(y − 1) = 5y + 4. What is y?
34. 34.The sum of three consecutive whole numbers is 135. What is the smallest of them?
35. 35.Solve: t/5 + t/3 = 64. What is t?
36. 36.Solve: 4(x − 3) = 3x + 6. What is x?
37. 37.The sum of four consecutive whole numbers is 234. What is the largest of them?
38. 38.Solve: 9t + 3 = 6t + 24. What is t?
39. 39.Solve: 5t + 3 = 4t + 16. What is t?
40. 40.The sum of three consecutive whole numbers is 150. What is the largest of them?

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