Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 675 · 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: 4(p − 3) = p + 12. What is p?
2. 2.The sum of four consecutive whole numbers is 238. What is the smallest of them?
3. 3.Solve: 4(n − 4) = n + 23. What is n?
4. 4.Solve: 4(m − 4) = 3m + 7. What is m?
5. 5.The length of a rectangle is 11 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
6. 6.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?
7. 7.The length of a rectangle is 14 cm more than its width. Its perimeter is 72 cm. What is its width (in cm)?
8. 8.The sum of two consecutive whole numbers is 59. What is the largest of them?
9. 9.The sum of three consecutive whole numbers is 54. What is the smallest of them?
10. 10.The length of a rectangle is 12 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
11. 11.The length of a rectangle is 9 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
12. 12.Solve: p/2 + p/3 = 10. What is p?
13. 13.The length of a rectangle is 15 cm more than its width. Its perimeter is 134 cm. What is its width (in cm)?
14. 14.A father is 9 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
15. 15.Solve: x/6 + x/3 = 24. What is x?
16. 16.Solve: t/4 + t/3 = 35. What is t?
17. 17.Solve: t/5 + t/6 = 22. What is t?
18. 18.The sum of two consecutive whole numbers is 85. What is the largest of them?
19. 19.Solve: 6(p − 2) = 4p + 22. What is p?
20. 20.Solve: 3m + 20 = m + 28. What is m?
21. 21.A father is 30 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?
22. 22.The sum of two consecutive whole numbers is 121. What is the largest of them?
23. 23.The sum of three consecutive whole numbers is 150. What is the smallest of them?
24. 24.The length of a rectangle is 12 cm more than its width. Its perimeter is 140 cm. What is its width (in cm)?
25. 25.Solve: 9n + 18 = 4n + 43. What is n?
26. 26.Solve: 3(p − 5) = 2p + 4. What is p?
27. 27.The sum of two consecutive whole numbers is 15. What is the largest of them?
28. 28.A father is 22 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?
29. 29.The sum of two consecutive whole numbers is 55. What is the largest of them?
30. 30.A father is 36 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?
31. 31.Solve: 4n + 1 = n + 40. What is n?
32. 32.The sum of two consecutive whole numbers is 121. What is the smallest of them?
33. 33.The length of a rectangle is 14 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
34. 34.The sum of three consecutive whole numbers is 48. What is the smallest of them?
35. 35.Solve: 7p + 1 = 3p + 49. What is p?
36. 36.Solve: 4(x − 1) = 3x + 12. What is x?
37. 37.Solve: 8x + 8 = 4x + 40. What is x?
38. 38.The sum of three consecutive whole numbers is 42. What is the smallest of them?
39. 39.A father is 11 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
40. 40.Solve: 6(p − 5) = 2p + 46. What is p?

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