Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 904 · 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(n − 4) = 2n + 18. What is n?
2. 2.Solve: t/5 + t/2 = 21. What is t?
3. 3.Solve: 8t + 10 = 5t + 34. What is t?
4. 4.The sum of three consecutive whole numbers is 81. What is the smallest of them?
5. 5.The length of a rectangle is 15 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
6. 6.Solve: 3(t − 3) = 2t + 8. What is t?
7. 7.Solve: m/5 + m/3 = 8. What is m?
8. 8.The sum of two consecutive whole numbers is 21. What is the smallest of them?
9. 9.The sum of three consecutive whole numbers is 183. What is the largest of them?
10. 10.Solve: 4(x − 4) = x + 20. What is x?
11. 11.The length of a rectangle is 8 cm more than its width. Its perimeter is 128 cm. What is its width (in cm)?
12. 12.Solve: 5t + 2 = t + 10. What is t?
13. 13.The length of a rectangle is 6 cm more than its width. Its perimeter is 104 cm. What is its width (in cm)?
14. 14.Solve: x/2 + x/3 = 5. What is x?
15. 15.Solve: 6(p − 3) = 3p + 21. What is p?
16. 16.Solve: 9n + 9 = 4n + 54. What is n?
17. 17.The sum of three consecutive whole numbers is 33. What is the smallest of them?
18. 18.Solve: 5n + 4 = 4n + 19. What is n?
19. 19.A father is 48 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?
20. 20.The length of a rectangle is 9 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
21. 21.A father is 28 years older than his son. In 2 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 2 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
23. 23.The length of a rectangle is 9 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
24. 24.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?
25. 25.Solve: x/2 + x/3 = 35. What is x?
26. 26.Solve: x/2 + x/5 = 49. What is x?
27. 27.The sum of three consecutive whole numbers is 111. What is the smallest of them?
28. 28.The length of a rectangle is 4 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
29. 29.Solve: x/6 + x/3 = 21. What is x?
30. 30.A father is 51 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?
31. 31.The sum of four consecutive whole numbers is 174. What is the largest of them?
32. 32.Solve: 5(n − 5) = n + 39. What is n?
33. 33.The length of a rectangle is 14 cm more than its width. Its perimeter is 84 cm. What is its width (in cm)?
34. 34.Solve: 8y + 19 = 3y + 44. What is y?
35. 35.The sum of three consecutive whole numbers is 129. What is the smallest of them?
36. 36.Solve: 8m + 20 = 2m + 110. What is m?
37. 37.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?
38. 38.Solve: 8y + 8 = 3y + 33. What is y?
39. 39.The length of a rectangle is 14 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
40. 40.Solve: n/2 + n/3 = 40. What is n?

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