Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 837 · 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.The length of a rectangle is 11 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
2. 2.Solve: 8n + 11 = 4n + 63. What is n?
3. 3.A father is 20 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?
4. 4.The sum of four consecutive whole numbers is 138. What is the smallest of them?
5. 5.The sum of three consecutive whole numbers is 153. What is the largest of them?
6. 6.Solve: 4(t − 5) = 3t + 4. What is t?
7. 7.Solve: 7m + 2 = 3m + 46. What is m?
8. 8.Solve: 4(t − 4) = t + 2. What is t?
9. 9.The length of a rectangle is 9 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
10. 10.Solve: 6t + 19 = 5t + 30. What is t?
11. 11.Solve: 6(x − 1) = 2x + 38. What is x?
12. 12.The sum of four consecutive whole numbers is 222. What is the smallest of them?
13. 13.Solve: 4(x − 4) = 2x + 22. What is x?
14. 14.The length of a rectangle is 5 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
15. 15.Solve: 9x + 18 = 6x + 63. What is x?
16. 16.Solve: p/3 + p/4 = 21. What is p?
17. 17.Solve: x/6 + x/2 = 24. What is x?
18. 18.The length of a rectangle is 1 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
19. 19.The length of a rectangle is 6 cm more than its width. Its perimeter is 36 cm. What is its width (in cm)?
20. 20.Solve: m/2 + m/4 = 15. What is m?
21. 21.Solve: 6(m − 1) = 3m + 6. What is m?
22. 22.Solve: t/5 + t/3 = 16. What is t?
23. 23.A father is 5 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
24. 24.The length of a rectangle is 10 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
25. 25.Solve: 5x + 7 = x + 63. What is x?
26. 26.Solve: 3(p − 4) = p + 24. What is p?
27. 27.Solve: y/4 + y/2 = 3. What is y?
28. 28.The sum of two consecutive whole numbers is 83. What is the smallest of them?
29. 29.Solve: 3(p − 4) = p + 8. What is p?
30. 30.The length of a rectangle is 4 cm more than its width. Its perimeter is 28 cm. What is its width (in cm)?
31. 31.The sum of three consecutive whole numbers is 183. What is the largest of them?
32. 32.The sum of three consecutive whole numbers is 36. What is the smallest of them?
33. 33.Solve: 5(m − 5) = 4m + 1. What is m?
34. 34.The length of a rectangle is 8 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
35. 35.The length of a rectangle is 13 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
36. 36.The length of a rectangle is 7 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
37. 37.The sum of three consecutive whole numbers is 126. What is the smallest of them?
38. 38.Solve: 6(t − 2) = 4t + 18. What is t?
39. 39.A father is 54 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?
40. 40.Solve: 3(x − 2) = x + 18. What is x?

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