Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 697 · 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: 4x + 1 = x + 40. What is x?
2. 2.The length of a rectangle is 4 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
3. 3.The sum of four consecutive whole numbers is 102. What is the smallest of them?
4. 4.Solve: 5t + 2 = 4t + 12. What is t?
5. 5.The length of a rectangle is 9 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
6. 6.The sum of two consecutive whole numbers is 107. What is the largest of them?
7. 7.The length of a rectangle is 3 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
8. 8.The length of a rectangle is 14 cm more than its width. Its perimeter is 136 cm. What is its width (in cm)?
9. 9.Solve: 5(m − 5) = m + 31. What is m?
10. 10.The sum of four consecutive whole numbers is 182. What is the smallest of them?
11. 11.The sum of two consecutive whole numbers is 17. What is the smallest of them?
12. 12.Solve: 7m + 17 = 3m + 53. What is m?
13. 13.Solve: 9m + 11 = 8m + 24. What is m?
14. 14.The length of a rectangle is 13 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
15. 15.Solve: 5(m − 3) = m + 37. What is m?
16. 16.Solve: 6(n − 3) = 2n + 42. What is n?
17. 17.A father is 19 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
18. 18.Solve: t/3 + t/4 = 7. What is t?
19. 19.Solve: 5(x − 4) = 3x + 2. What is x?
20. 20.Solve: 3(x − 5) = 2x + 2. What is x?
21. 21.The sum of four consecutive whole numbers is 70. What is the largest of them?
22. 22.Solve: m/2 + m/6 = 8. What is m?
23. 23.A father is 36 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
24. 24.Solve: 6(n − 2) = 2n + 4. What is n?
25. 25.A father is 14 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?
26. 26.Solve: 9x + 18 = 2x + 123. What is x?
27. 27.The sum of two consecutive whole numbers is 11. What is the largest of them?
28. 28.A father is 48 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?
29. 29.Solve: 8n + 17 = 4n + 69. What is n?
30. 30.A father is 7 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
31. 31.Solve: 5m + 12 = 2m + 21. What is m?
32. 32.Solve: 8x + 12 = 7x + 16. What is x?
33. 33.Solve: 6(n − 2) = n + 23. What is n?
34. 34.The length of a rectangle is 2 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
35. 35.The sum of two consecutive whole numbers is 93. What is the smallest of them?
36. 36.Solve: 4(y − 3) = 2y + 2. What is y?
37. 37.A father is 16 years older than his son. In 4 years, 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 159. What is the largest of them?
39. 39.The sum of three consecutive whole numbers is 54. What is the largest of them?
40. 40.A father is 21 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?

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