Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 909 · 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: 3m + 6 = m + 32. What is m?
2. 2.A father is 20 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?
3. 3.Solve: 9n + 11 = 2n + 95. What is n?
4. 4.A father is 24 years older than his son. In 7 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 4 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
6. 6.Solve: 5x + 3 = x + 23. What is x?
7. 7.The sum of two consecutive whole numbers is 81. What is the largest of them?
8. 8.Solve: 6(m − 2) = 4m + 4. What is m?
9. 9.Solve: 3(x − 1) = x + 1. What is x?
10. 10.The length of a rectangle is 9 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
11. 11.Solve: 3y + 12 = y + 18. What is y?
12. 12.The length of a rectangle is 2 cm more than its width. Its perimeter is 24 cm. What is its width (in cm)?
13. 13.Solve: 4(n − 3) = 3n + 8. What is n?
14. 14.Solve: m/5 + m/4 = 72. What is m?
15. 15.Solve: m/6 + m/2 = 8. What is m?
16. 16.A father is 4 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
17. 17.The sum of two consecutive whole numbers is 37. What is the largest of them?
18. 18.The sum of two consecutive whole numbers is 51. What is the largest of them?
19. 19.Solve: 3(p − 3) = 2p + 12. What is p?
20. 20.The sum of four consecutive whole numbers is 50. What is the smallest of them?
21. 21.The sum of four consecutive whole numbers is 186. What is the smallest of them?
22. 22.The length of a rectangle is 1 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
23. 23.A father is 17 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
24. 24.Solve: m/3 + m/6 = 21. What is m?
25. 25.A father is 16 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?
26. 26.Solve: 3(y − 1) = y + 23. What is y?
27. 27.Solve: 5(p − 1) = 3p + 23. What is p?
28. 28.Solve: 4t + 14 = 3t + 19. What is t?
29. 29.Solve: 8m + 9 = 4m + 41. What is m?
30. 30.The length of a rectangle is 8 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
31. 31.A father is 10 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
32. 32.The sum of two consecutive whole numbers is 111. What is the smallest of them?
33. 33.Solve: 7t + 2 = 2t + 52. What is t?
34. 34.Solve: 6(t − 1) = 2t + 46. What is t?
35. 35.The length of a rectangle is 13 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
36. 36.A father is 14 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
37. 37.A father is 7 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
38. 38.The sum of three consecutive whole numbers is 51. What is the largest of them?
39. 39.The length of a rectangle is 11 cm more than its width. Its perimeter is 126 cm. What is its width (in cm)?
40. 40.Solve: p/4 + p/6 = 25. What is p?

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