Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 547 · 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: 5(p − 3) = 3p + 9. What is p?
2. 2.Solve: n/3 + n/5 = 48. What is n?
3. 3.Solve: p/5 + p/6 = 33. What is p?
4. 4.The sum of four consecutive whole numbers is 54. What is the largest of them?
5. 5.The sum of three consecutive whole numbers is 69. What is the largest of them?
6. 6.The sum of two consecutive whole numbers is 43. What is the largest of them?
7. 7.The sum of three consecutive whole numbers is 180. What is the smallest of them?
8. 8.The length of a rectangle is 7 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
9. 9.The sum of four consecutive whole numbers is 178. What is the largest of them?
10. 10.Solve: 6(t − 2) = 5t + 7. What is t?
11. 11.The sum of two consecutive whole numbers is 97. What is the smallest of them?
12. 12.The length of a rectangle is 4 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
13. 13.The sum of two consecutive whole numbers is 95. What is the largest of them?
14. 14.Solve: 7y + 5 = 2y + 55. What is y?
15. 15.The sum of three consecutive whole numbers is 156. What is the smallest of them?
16. 16.Solve: 3(x − 1) = x + 15. What is x?
17. 17.The length of a rectangle is 6 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
18. 18.Solve: 6(m − 1) = 3m + 12. What is m?
19. 19.The length of a rectangle is 1 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
20. 20.Solve: m/3 + m/6 = 9. What is m?
21. 21.The length of a rectangle is 1 cm more than its width. Its perimeter is 14 cm. What is its width (in cm)?
22. 22.The length of a rectangle is 8 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
23. 23.Solve: 5(n − 5) = 3n + 3. What is n?
24. 24.Solve: 3(p − 1) = p + 5. What is p?
25. 25.Solve: 4(p − 4) = 3p + 2. What is p?
26. 26.The sum of two consecutive whole numbers is 121. What is the smallest of them?
27. 27.The sum of four consecutive whole numbers is 98. What is the smallest of them?
28. 28.Solve: 3(y − 2) = 2y + 6. What is y?
29. 29.The length of a rectangle is 13 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
30. 30.The length of a rectangle is 13 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
31. 31.Solve: 3(n − 3) = n + 17. What is n?
32. 32.A father is 26 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?
33. 33.A father is 42 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?
34. 34.The length of a rectangle is 15 cm more than its width. Its perimeter is 130 cm. What is its width (in cm)?
35. 35.Solve: 3m + 13 = 2m + 18. What is m?
36. 36.The sum of two consecutive whole numbers is 49. What is the largest of them?
37. 37.Solve: 4(x − 1) = x + 8. What is x?
38. 38.The sum of three consecutive whole numbers is 27. What is the smallest of them?
39. 39.The sum of three consecutive whole numbers is 126. What is the largest of them?
40. 40.Solve: 5(p − 5) = 3p + 1. What is p?

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