Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 684 · 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(m − 2) = 2m + 29. What is m?
2. 2.The sum of four consecutive whole numbers is 170. What is the smallest of them?
3. 3.Solve: p/2 + p/4 = 12. What is p?
4. 4.The sum of two consecutive whole numbers is 45. What is the largest of them?
5. 5.Solve: 3(t − 4) = 2t + 9. What is t?
6. 6.Solve: 4(n − 2) = 3n + 9. What is n?
7. 7.The length of a rectangle is 6 cm more than its width. Its perimeter is 124 cm. What is its width (in cm)?
8. 8.Solve: 3(y − 5) = y + 23. What is y?
9. 9.Solve: y/2 + y/3 = 20. What is y?
10. 10.Solve: p/4 + p/5 = 63. What is p?
11. 11.Solve: 6p + 17 = 2p + 49. What is p?
12. 12.A father is 18 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
13. 13.Solve: 5(x − 4) = 4x + 8. What is x?
14. 14.A father is 33 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
15. 15.Solve: 8x + 8 = 2x + 92. What is x?
16. 16.The sum of four consecutive whole numbers is 38. What is the largest of them?
17. 17.A father is 22 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
18. 18.Solve: n/6 + n/5 = 88. What is n?
19. 19.The length of a rectangle is 15 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
20. 20.Solve: 8n + 1 = 3n + 11. What is n?
21. 21.A father is 12 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?
22. 22.The length of a rectangle is 5 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
23. 23.The sum of two consecutive whole numbers is 85. What is the largest of them?
24. 24.Solve: 4p + 13 = p + 31. What is p?
25. 25.The sum of four consecutive whole numbers is 122. What is the smallest of them?
26. 26.Solve: x/3 + x/4 = 49. What is x?
27. 27.The sum of two consecutive whole numbers is 59. What is the largest of them?
28. 28.The sum of two consecutive whole numbers is 47. What is the largest of them?
29. 29.The sum of four consecutive whole numbers is 26. What is the smallest of them?
30. 30.The length of a rectangle is 8 cm more than its width. Its perimeter is 72 cm. What is its width (in cm)?
31. 31.The sum of two consecutive whole numbers is 53. What is the largest of them?
32. 32.The length of a rectangle is 5 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
33. 33.The sum of two consecutive whole numbers is 37. What is the largest of them?
34. 34.The sum of four consecutive whole numbers is 66. What is the smallest of them?
35. 35.A father is 14 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
36. 36.The length of a rectangle is 4 cm more than its width. Its perimeter is 16 cm. What is its width (in cm)?
37. 37.The sum of three consecutive whole numbers is 162. What is the largest of them?
38. 38.Solve: 4y + 8 = 2y + 18. What is y?
39. 39.Solve: 5(y − 3) = 2y + 15. What is y?
40. 40.Solve: 6m + 9 = m + 59. What is m?

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